Feedback arc set (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Feedback arc set" in English language version.

refsWebsite

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52doi.org

2^nd place

37ams.org

451^st place

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23semanticscholar.org

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9web.archive.org

1^st place

5jstor.org

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5handle.net

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5arxiv.org

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3kth.se

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2nih.gov

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1fivb.com

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1tue.nl

9,054^th place

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1harvard.edu

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1flvc.org

low place

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1murdoch.edu.au

6,278^th place

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1weizmann.ac.il

4,983^rd place

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1brown.edu

2,481^st place

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1princeton.edu

741^st place

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1cnrs.fr

2,402^nd place

5,549^th place

1huji.ac.il

3,903^rd place

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1rit.edu

8,676^th place

6,229^th place

ams.org (Global: 451^st place; English: 277^th place)

mathscinet.ams.org

Hubert, Lawrence (1976), "Seriation using asymmetric proximity measures", British Journal of Mathematical and Statistical Psychology, 29 (1): 32–52, doi:10.1111/j.2044-8317.1976.tb00701.x, MR 0429180
Remage, Russell Jr.; Thompson, W. A. Jr. (1966), "Maximum-likelihood paired comparison rankings", Biometrika, 53 (1–2): 143–149, doi:10.1093/biomet/53.1-2.143, JSTOR 2334060, MR 0196854, PMID 5964054
Goddard, Stephen T. (1983), "Ranking in tournaments and group decisionmaking", Management Science, 29 (12): 1384–1392, doi:10.1287/mnsc.29.12.1384, MR 0809110; note that the algorithm suggested by Goddard for finding minimum-violation rankings is incorrect
Coppersmith, Don; Fleischer, Lisa K.; Rurda, Atri (2010), "Ordering by weighted number of wins gives a good ranking for weighted tournaments", ACM Transactions on Algorithms, 6 (3): A55:1–A55:13, doi:10.1145/1798596.1798608, MR 2682624, S2CID 18416
Brunk, H. D. (1960), "Mathematical models for ranking from paired comparisons", Journal of the American Statistical Association, 55 (291): 503–520, doi:10.2307/2281911, JSTOR 2281911, MR 0115242; published in preliminary form as ASTIA Document No. AD 206 573, United States Air Force, Office of Scientific Research, November 1958, hdl:2027/mdp.39015095254010
Thompson, W. A. Jr.; Remage, Russell Jr. (1964), "Rankings from paired comparisons", Annals of Mathematical Statistics, 35 (2): 739–747, doi:10.1214/aoms/1177703572, JSTOR 2238526, MR 0161419
Demetrescu, Camil; Finocchi, Irene (2001), "Break the "right" cycles and get the "best" drawing", ACM Journal of Experimental Algorithmics, 6: 171–182, MR 2027115
Even, G.; Naor, J.; Schieber, B.; Sudan, M. (1998), "Approximating minimum feedback sets and multicuts in directed graphs", Algorithmica, 20 (2): 151–174, doi:10.1007/PL00009191, MR 1484534, S2CID 2437790
Minoura, Toshimi (1982), "Deadlock avoidance revisited", Journal of the ACM, 29 (4): 1023–1048, doi:10.1145/322344.322351, MR 0674256, S2CID 5284738
Mishra, Sounaka; Sikdar, Kripasindhu (2004), "On approximability of linear ordering and related NP-optimization problems on graphs", Discrete Applied Mathematics, 136 (2–3): 249–269, doi:10.1016/S0166-218X(03)00444-X, MR 2045215
Nutov, Zeev; Penn, Michal (2000), "On integrality, stability and composition of dicycle packings and covers", Journal of Combinatorial Optimization, 4 (2): 235–251, doi:10.1023/A:1009802905533, MR 1772828, S2CID 207632524
Bodlaender, Hans L.; Fomin, Fedor V.; Koster, Arie M. C. A.; Kratsch, Dieter; Thilikos, Dimitrios M. (2012), "A note on exact algorithms for vertex ordering problems on graphs", Theory of Computing Systems, 50 (3): 420–432, doi:10.1007/s00224-011-9312-0, hdl:1956/4556, MR 2885638, S2CID 9967521
Lin, Lishin; Sahni, Sartaj (1989), "Fair edge deletion problems", IEEE Transactions on Computers, 38 (5): 756–761, doi:10.1109/12.24280, MR 0994519
Schwikowski, Benno; Speckenmeyer, Ewald (2002), "On enumerating all minimal solutions of feedback problems", Discrete Applied Mathematics, 117 (1–3): 253–265, doi:10.1016/S0166-218X(00)00339-5, MR 1881280
Eades, Peter; Lin, Xuemin; Smyth, W. F. (1993), "A fast and effective heuristic for the feedback arc set problem", Information Processing Letters, 47 (6): 319–323, doi:10.1016/0020-0190(93)90079-O, MR 1256786, archived from the original on 2020-10-22, retrieved 2021-08-01
Berger, Bonnie; Shor, Peter W. (1997), "Tight bounds for the maximum acyclic subgraph problem", Journal of Algorithms, 25 (1): 1–18, doi:10.1006/jagm.1997.0864, MR 1474592
Hassin, Refael; Rubinstein, Shlomi (1994), "Approximations for the maximum acyclic subgraph problem", Information Processing Letters, 51 (3): 133–140, doi:10.1016/0020-0190(94)00086-7, MR 1290207
Gabow, Harold N. (1995), "Centroids, representations, and submodular flows", Journal of Algorithms, 18 (3): 586–628, doi:10.1006/jagm.1995.1022, MR 1334365
Frank, András (1981), "How to make a digraph strongly connected", Combinatorica, 1 (2): 145–153, doi:10.1007/BF02579270, MR 0625547, S2CID 27825518
Lucchesi, C. L.; Younger, D. H. (1978), "A minimax theorem for directed graphs", Journal of the London Mathematical Society, Second Series, 17 (3): 369–374, doi:10.1112/jlms/s2-17.3.369, MR 0500618
Gabow, Harold N. (1993), "A framework for cost-scaling algorithms for submodular flow problems", 34th Annual Symposium on Foundations of Computer Science, Palo Alto, California, USA, 3-5 November 1993, IEEE Computer Society, pp. 449–458, doi:10.1109/SFCS.1993.366842, ISBN 0-8186-4370-6, MR 1328441, S2CID 32162097
Grötschel, Martin; Jünger, Michael; Reinelt, Gerhard (1985), "On the acyclic subgraph polytope", Mathematical Programming, 33 (1): 28–42, doi:10.1007/BF01582009, MR 0809747, S2CID 206798683
Ramachandran, Vijaya (1988), "Finding a minimum feedback arc set in reducible flow graphs", Journal of Algorithms, 9 (3): 299–313, doi:10.1016/0196-6774(88)90022-3, MR 0955140
Arora, Sanjeev; Frieze, Alan; Kaplan, Haim (2002), "A new rounding procedure for the assignment problem with applications to dense graph arrangement problems", Mathematical Programming, 92 (1): 1–36, doi:10.1007/s101070100271, MR 1892295, S2CID 3207086, archived from the original on 2021-08-03, retrieved 2021-08-03
Alon, Noga (2006), "Ranking tournaments", SIAM Journal on Discrete Mathematics, 20 (1): 137–142, doi:10.1137/050623905, MR 2257251
Charbit, Pierre; Thomassé, Stéphan; Yeo, Anders (2007), "The minimum feedback arc set problem is NP-hard for tournaments" (PDF), Combinatorics, Probability and Computing, 16 (1): 1–4, doi:10.1017/S0963548306007887, MR 2282830, S2CID 36539840
Ausiello, G.; D'Atri, A.; Protasi, M. (1980), "Structure preserving reductions among convex optimization problems", Journal of Computer and System Sciences, 21 (1): 136–153, doi:10.1016/0022-0000(80)90046-X, MR 0589808
Guruswami, Venkatesan; Håstad, Johan; Manokaran, Rajsekar; Raghavendra, Prasad; Charikar, Moses (2011), "Beating the random ordering is hard: every ordering CSP is approximation resistant" (PDF), SIAM Journal on Computing, 40 (3): 878–914, doi:10.1137/090756144, MR 2823511, archived (PDF) from the original on 2021-07-31, retrieved 2021-07-31
Bonnet, Édouard; Paschos, Vangelis Th. (2018), "Sparsification and subexponential approximation", Acta Informatica, 55 (1): 1–15, arXiv:1402.2843, doi:10.1007/s00236-016-0281-2, MR 3757549, S2CID 3136275
Lovász, László (1976), "On two minimax theorems in graph", Journal of Combinatorial Theory, Series B, 21 (2): 96–103, doi:10.1016/0095-8956(76)90049-6, MR 0427138
Bar-Noy, Amotz; Naor, Joseph (1990), "Sorting, minimal feedback sets, and Hamilton paths in tournaments", SIAM Journal on Discrete Mathematics, 3 (1): 7–20, doi:10.1137/0403002, MR 1033709
Spencer, J. (1980), "Optimally ranking unrankable tournaments", Periodica Mathematica Hungarica, 11 (2): 131–144, doi:10.1007/BF02017965, MR 0573525, S2CID 119894999
Fernandez de la Vega, W. (1983), "On the maximum cardinality of a consistent set of arcs in a random tournament", Journal of Combinatorial Theory, Series B, 35 (3): 328–332, doi:10.1016/0095-8956(83)90060-6, MR 0735201
Barthélémy, Jean-Pierre; Hudry, Olivier; Isaak, Garth; Roberts, Fred S.; Tesman, Barry (1995), "The reversing number of a digraph", Discrete Applied Mathematics, 60 (1–3): 39–76, doi:10.1016/0166-218X(94)00042-C, MR 1339075
Isaak, Garth; Narayan, Darren A. (2004), "A classification of tournaments having an acyclic tournament as a minimum feedback arc set", Information Processing Letters, 92 (3): 107–111, doi:10.1016/j.ipl.2004.07.001, MR 2095357
Huang, Hao; Ma, Jie; Shapira, Asaf; Sudakov, Benny; Yuster, Raphael (2013), "Large feedback arc sets, high minimum degree subgraphs, and long cycles in Eulerian digraphs", Combinatorics, Probability and Computing, 22 (6): 859–873, arXiv:1202.2602, doi:10.1017/S0963548313000394, hdl:20.500.11850/73894, MR 3111546, S2CID 7967738
Hanauer, Kathrin; Brandenburg, Franz-Josef; Auer, Christopher (2013), "Tight upper bounds for minimum feedback arc sets of regular graphs", in Brandstädt, Andreas; Jansen, Klaus; Reischuk, Rüdiger (eds.), Graph-Theoretic Concepts in Computer Science - 39th International Workshop, WG 2013, Lübeck, Germany, June 19-21, 2013, Revised Papers, Lecture Notes in Computer Science, vol. 8165, Springer, pp. 298–309, doi:10.1007/978-3-642-45043-3_26, ISBN 978-3-642-45042-6, MR 3139198

arxiv.org (Global: 69^th place; English: 59^th place)

Karpinski, Marek; Schudy, Warren (2010), "Faster algorithms for feedback arc set tournament, Kemeny rank aggregation and betweenness tournament", in Cheong, Otfried; Chwa, Kyung-Yong; Park, Kunsoo (eds.), Algorithms and Computation - 21st International Symposium, ISAAC 2010, Jeju Island, Korea, December 15-17, 2010, Proceedings, Part I, Lecture Notes in Computer Science, vol. 6506, Springer, pp. 3–14, arXiv:1006.4396, doi:10.1007/978-3-642-17517-6_3, ISBN 978-3-642-17516-9, S2CID 16512997
Hecht, Michael (2017), "Exact localisations of feedback sets", Theory of Computing Systems, 62 (5): 1048–1084, arXiv:1702.07612, doi:10.1007/s00224-017-9777-6, S2CID 18394348
Bonamy, Marthe; Kowalik, Lukasz; Nederlof, Jesper; Pilipczuk, Michal; Socala, Arkadiusz; Wrochna, Marcin (2018), "On directed feedback vertex set parameterized by treewidth", in Brandstädt, Andreas; Köhler, Ekkehard; Meer, Klaus (eds.), Graph-Theoretic Concepts in Computer Science - 44th International Workshop, WG 2018, Cottbus, Germany, June 27-29, 2018, Proceedings, Lecture Notes in Computer Science, vol. 11159, Springer, pp. 65–78, arXiv:1707.01470, doi:10.1007/978-3-030-00256-5_6, ISBN 978-3-030-00255-8, S2CID 8008855
Bonnet, Édouard; Paschos, Vangelis Th. (2018), "Sparsification and subexponential approximation", Acta Informatica, 55 (1): 1–15, arXiv:1402.2843, doi:10.1007/s00236-016-0281-2, MR 3757549, S2CID 3136275
Huang, Hao; Ma, Jie; Shapira, Asaf; Sudakov, Benny; Yuster, Raphael (2013), "Large feedback arc sets, high minimum degree subgraphs, and long cycles in Eulerian digraphs", Combinatorics, Probability and Computing, 22 (6): 859–873, arXiv:1202.2602, doi:10.1017/S0963548313000394, hdl:20.500.11850/73894, MR 3111546, S2CID 7967738

brown.edu (Global: 2,481^st place; English: 1,558^th place)

cs.brown.edu

Kenyon-Mathieu, Claire; Schudy, Warren (2007), "How to rank with few errors: a PTAS for weighted feedback arc set on tournaments", in Johnson, David S.; Feige, Uriel (eds.), Proceedings of the 39th Annual ACM Symposium on Theory of Computing, San Diego, California, USA, June 11-13, 2007, pp. 95–103, doi:10.1145/1250790.1250806, S2CID 9436948, ECCC TR06-144; see also author's extended version Archived 2009-01-15 at the Wayback Machine

cnrs.fr (Global: 2,402^nd place; English: 5,549^th place)

hal-lirmm.ccsd.cnrs.fr

Charbit, Pierre; Thomassé, Stéphan; Yeo, Anders (2007), "The minimum feedback arc set problem is NP-hard for tournaments" (PDF), Combinatorics, Probability and Computing, 16 (1): 1–4, doi:10.1017/S0963548306007887, MR 2282830, S2CID 36539840

doi.org (Global: 2^nd place; English: 2^nd place)

Hubert, Lawrence (1976), "Seriation using asymmetric proximity measures", British Journal of Mathematical and Statistical Psychology, 29 (1): 32–52, doi:10.1111/j.2044-8317.1976.tb00701.x, MR 0429180
Remage, Russell Jr.; Thompson, W. A. Jr. (1966), "Maximum-likelihood paired comparison rankings", Biometrika, 53 (1–2): 143–149, doi:10.1093/biomet/53.1-2.143, JSTOR 2334060, MR 0196854, PMID 5964054
Goddard, Stephen T. (1983), "Ranking in tournaments and group decisionmaking", Management Science, 29 (12): 1384–1392, doi:10.1287/mnsc.29.12.1384, MR 0809110; note that the algorithm suggested by Goddard for finding minimum-violation rankings is incorrect
Vaziri, Baback; Dabadghao, Shaunak; Yih, Yuehwern; Morin, Thomas L. (January 2018), "Properties of sports ranking methods" (PDF), Journal of the Operational Research Society, 69 (5): 776–787, doi:10.1057/s41274-017-0266-8, S2CID 51887586
Coppersmith, Don; Fleischer, Lisa K.; Rurda, Atri (2010), "Ordering by weighted number of wins gives a good ranking for weighted tournaments", ACM Transactions on Algorithms, 6 (3): A55:1–A55:13, doi:10.1145/1798596.1798608, MR 2682624, S2CID 18416
Seyfarth, Robert M. (November 1976), "Social relationships among adult female baboons", Animal Behaviour, 24 (4): 917–938, doi:10.1016/s0003-3472(76)80022-x, S2CID 54284406
Estep, D.Q.; Crowell-Davis, S.L.; Earl-Costello, S.-A.; Beatey, S.A. (January 1993), "Changes in the social behaviour of drafthorse (Equus caballus) mares coincident with foaling", Applied Animal Behaviour Science, 35 (3): 199–213, doi:10.1016/0168-1591(93)90137-e
Eickwort, George C. (April 2019), "Dominance in a cockroach (Nauphoeta)", Insect Behavior, CRC Press, pp. 120–126, doi:10.1201/9780429049262-18, ISBN 978-0-429-04926-2, S2CID 203898549
Slater, Patrick (1961), "Inconsistencies in a schedule of paired comparisons", Biometrika, 48 (3–4): 303–312, doi:10.1093/biomet/48.3-4.303, JSTOR 2332752
Brunk, H. D. (1960), "Mathematical models for ranking from paired comparisons", Journal of the American Statistical Association, 55 (291): 503–520, doi:10.2307/2281911, JSTOR 2281911, MR 0115242; published in preliminary form as ASTIA Document No. AD 206 573, United States Air Force, Office of Scientific Research, November 1958, hdl:2027/mdp.39015095254010
Thompson, W. A. Jr.; Remage, Russell Jr. (1964), "Rankings from paired comparisons", Annals of Mathematical Statistics, 35 (2): 739–747, doi:10.1214/aoms/1177703572, JSTOR 2238526, MR 0161419
Karpinski, Marek; Schudy, Warren (2010), "Faster algorithms for feedback arc set tournament, Kemeny rank aggregation and betweenness tournament", in Cheong, Otfried; Chwa, Kyung-Yong; Park, Kunsoo (eds.), Algorithms and Computation - 21st International Symposium, ISAAC 2010, Jeju Island, Korea, December 15-17, 2010, Proceedings, Part I, Lecture Notes in Computer Science, vol. 6506, Springer, pp. 3–14, arXiv:1006.4396, doi:10.1007/978-3-642-17517-6_3, ISBN 978-3-642-17516-9, S2CID 16512997
Feehrer, John R.; Jordan, Harry F. (December 1995), "Placement of clock gates in time-of-flight optoelectronic circuits", Applied Optics, 34 (35): 8125–8136, Bibcode:1995ApOpt..34.8125F, doi:10.1364/ao.34.008125, PMID 21068927
Bastert, Oliver; Matuszewski, Christian (2001), "Layered drawings of digraphs", in Kaufmann, Michael; Wagner, Dorothea (eds.), Drawing Graphs: Methods and Models, Lecture Notes in Computer Science, vol. 2025, Springer-Verlag, pp. 87–120, doi:10.1007/3-540-44969-8_5, ISBN 978-3-540-42062-0
Even, G.; Naor, J.; Schieber, B.; Sudan, M. (1998), "Approximating minimum feedback sets and multicuts in directed graphs", Algorithmica, 20 (2): 151–174, doi:10.1007/PL00009191, MR 1484534, S2CID 2437790
Minoura, Toshimi (1982), "Deadlock avoidance revisited", Journal of the ACM, 29 (4): 1023–1048, doi:10.1145/322344.322351, MR 0674256, S2CID 5284738
Mishra, Sounaka; Sikdar, Kripasindhu (2004), "On approximability of linear ordering and related NP-optimization problems on graphs", Discrete Applied Mathematics, 136 (2–3): 249–269, doi:10.1016/S0166-218X(03)00444-X, MR 2045215
Hecht, Michael (2017), "Exact localisations of feedback sets", Theory of Computing Systems, 62 (5): 1048–1084, arXiv:1702.07612, doi:10.1007/s00224-017-9777-6, S2CID 18394348
Park, S.; Akers, S.B. (1992), "An efficient method for finding a minimal feedback arc set in directed graphs", Proceedings of the 1992 IEEE International Symposium on Circuits and Systems (ISCAS '92), vol. 4, pp. 1863–1866, doi:10.1109/iscas.1992.230449, ISBN 0-7803-0593-0, S2CID 122603659
Nutov, Zeev; Penn, Michal (2000), "On integrality, stability and composition of dicycle packings and covers", Journal of Combinatorial Optimization, 4 (2): 235–251, doi:10.1023/A:1009802905533, MR 1772828, S2CID 207632524
Younger, D. (1963), "Minimum feedback arc sets for a directed graph", IEEE Transactions on Circuit Theory, 10 (2): 238–245, doi:10.1109/tct.1963.1082116
Lawler, E. (1964), "A comment on minimum feedback arc sets", IEEE Transactions on Circuit Theory, 11 (2): 296–297, doi:10.1109/tct.1964.1082291
Bodlaender, Hans L.; Fomin, Fedor V.; Koster, Arie M. C. A.; Kratsch, Dieter; Thilikos, Dimitrios M. (2012), "A note on exact algorithms for vertex ordering problems on graphs", Theory of Computing Systems, 50 (3): 420–432, doi:10.1007/s00224-011-9312-0, hdl:1956/4556, MR 2885638, S2CID 9967521
Chen, Jianer; Liu, Yang; Lu, Songjian; O'Sullivan, Barry; Razgon, Igor (2008), "A fixed-parameter algorithm for the directed feedback vertex set problem", Journal of the ACM, 55 (5): 1–19, doi:10.1145/1411509.1411511, S2CID 1547510
Bonamy, Marthe; Kowalik, Lukasz; Nederlof, Jesper; Pilipczuk, Michal; Socala, Arkadiusz; Wrochna, Marcin (2018), "On directed feedback vertex set parameterized by treewidth", in Brandstädt, Andreas; Köhler, Ekkehard; Meer, Klaus (eds.), Graph-Theoretic Concepts in Computer Science - 44th International Workshop, WG 2018, Cottbus, Germany, June 27-29, 2018, Proceedings, Lecture Notes in Computer Science, vol. 11159, Springer, pp. 65–78, arXiv:1707.01470, doi:10.1007/978-3-030-00256-5_6, ISBN 978-3-030-00255-8, S2CID 8008855
Lin, Lishin; Sahni, Sartaj (1989), "Fair edge deletion problems", IEEE Transactions on Computers, 38 (5): 756–761, doi:10.1109/12.24280, MR 0994519
Schwikowski, Benno; Speckenmeyer, Ewald (2002), "On enumerating all minimal solutions of feedback problems", Discrete Applied Mathematics, 117 (1–3): 253–265, doi:10.1016/S0166-218X(00)00339-5, MR 1881280
Eades, Peter; Lin, Xuemin; Smyth, W. F. (1993), "A fast and effective heuristic for the feedback arc set problem", Information Processing Letters, 47 (6): 319–323, doi:10.1016/0020-0190(93)90079-O, MR 1256786, archived from the original on 2020-10-22, retrieved 2021-08-01
Berger, Bonnie; Shor, Peter W. (1997), "Tight bounds for the maximum acyclic subgraph problem", Journal of Algorithms, 25 (1): 1–18, doi:10.1006/jagm.1997.0864, MR 1474592
Hassin, Refael; Rubinstein, Shlomi (1994), "Approximations for the maximum acyclic subgraph problem", Information Processing Letters, 51 (3): 133–140, doi:10.1016/0020-0190(94)00086-7, MR 1290207
Gabow, Harold N. (1995), "Centroids, representations, and submodular flows", Journal of Algorithms, 18 (3): 586–628, doi:10.1006/jagm.1995.1022, MR 1334365
Frank, András (1981), "How to make a digraph strongly connected", Combinatorica, 1 (2): 145–153, doi:10.1007/BF02579270, MR 0625547, S2CID 27825518
Lucchesi, C. L.; Younger, D. H. (1978), "A minimax theorem for directed graphs", Journal of the London Mathematical Society, Second Series, 17 (3): 369–374, doi:10.1112/jlms/s2-17.3.369, MR 0500618
Gabow, Harold N. (1993), "A framework for cost-scaling algorithms for submodular flow problems", 34th Annual Symposium on Foundations of Computer Science, Palo Alto, California, USA, 3-5 November 1993, IEEE Computer Society, pp. 449–458, doi:10.1109/SFCS.1993.366842, ISBN 0-8186-4370-6, MR 1328441, S2CID 32162097
Grötschel, Martin; Jünger, Michael; Reinelt, Gerhard (1985), "On the acyclic subgraph polytope", Mathematical Programming, 33 (1): 28–42, doi:10.1007/BF01582009, MR 0809747, S2CID 206798683
Ramachandran, Vijaya (1988), "Finding a minimum feedback arc set in reducible flow graphs", Journal of Algorithms, 9 (3): 299–313, doi:10.1016/0196-6774(88)90022-3, MR 0955140
Kenyon-Mathieu, Claire; Schudy, Warren (2007), "How to rank with few errors: a PTAS for weighted feedback arc set on tournaments", in Johnson, David S.; Feige, Uriel (eds.), Proceedings of the 39th Annual ACM Symposium on Theory of Computing, San Diego, California, USA, June 11-13, 2007, pp. 95–103, doi:10.1145/1250790.1250806, S2CID 9436948, ECCC TR06-144; see also author's extended version Archived 2009-01-15 at the Wayback Machine
Arora, Sanjeev; Frieze, Alan; Kaplan, Haim (2002), "A new rounding procedure for the assignment problem with applications to dense graph arrangement problems", Mathematical Programming, 92 (1): 1–36, doi:10.1007/s101070100271, MR 1892295, S2CID 3207086, archived from the original on 2021-08-03, retrieved 2021-08-03
Alon, Noga (2006), "Ranking tournaments", SIAM Journal on Discrete Mathematics, 20 (1): 137–142, doi:10.1137/050623905, MR 2257251
Charbit, Pierre; Thomassé, Stéphan; Yeo, Anders (2007), "The minimum feedback arc set problem is NP-hard for tournaments" (PDF), Combinatorics, Probability and Computing, 16 (1): 1–4, doi:10.1017/S0963548306007887, MR 2282830, S2CID 36539840
Ausiello, G.; D'Atri, A.; Protasi, M. (1980), "Structure preserving reductions among convex optimization problems", Journal of Computer and System Sciences, 21 (1): 136–153, doi:10.1016/0022-0000(80)90046-X, MR 0589808
Dinur, Irit; Safra, Samuel (2005), "On the hardness of approximating minimum vertex cover" (PDF), Annals of Mathematics, 162 (1): 439–485, doi:10.4007/annals.2005.162.439, archived (PDF) from the original on 2009-09-20, retrieved 2021-07-29; preliminary version in Dinur, Irit; Safra, Samuel (2002), "The importance of being biased", in Reif, John H. (ed.), Proceedings of the 34th Annual ACM Symposium on Theory of Computing, May 19-21, 2002, Montréal, Québec, Canada, pp. 33–42, doi:10.1145/509907.509915, ISBN 1-58113-495-9, S2CID 1235048
Guruswami, Venkatesan; Håstad, Johan; Manokaran, Rajsekar; Raghavendra, Prasad; Charikar, Moses (2011), "Beating the random ordering is hard: every ordering CSP is approximation resistant" (PDF), SIAM Journal on Computing, 40 (3): 878–914, doi:10.1137/090756144, MR 2823511, archived (PDF) from the original on 2021-07-31, retrieved 2021-07-31
Bonnet, Édouard; Paschos, Vangelis Th. (2018), "Sparsification and subexponential approximation", Acta Informatica, 55 (1): 1–15, arXiv:1402.2843, doi:10.1007/s00236-016-0281-2, MR 3757549, S2CID 3136275
Lovász, László (1976), "On two minimax theorems in graph", Journal of Combinatorial Theory, Series B, 21 (2): 96–103, doi:10.1016/0095-8956(76)90049-6, MR 0427138
Bar-Noy, Amotz; Naor, Joseph (1990), "Sorting, minimal feedback sets, and Hamilton paths in tournaments", SIAM Journal on Discrete Mathematics, 3 (1): 7–20, doi:10.1137/0403002, MR 1033709
Spencer, J. (1980), "Optimally ranking unrankable tournaments", Periodica Mathematica Hungarica, 11 (2): 131–144, doi:10.1007/BF02017965, MR 0573525, S2CID 119894999
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Huang, Hao; Ma, Jie; Shapira, Asaf; Sudakov, Benny; Yuster, Raphael (2013), "Large feedback arc sets, high minimum degree subgraphs, and long cycles in Eulerian digraphs", Combinatorics, Probability and Computing, 22 (6): 859–873, arXiv:1202.2602, doi:10.1017/S0963548313000394, hdl:20.500.11850/73894, MR 3111546, S2CID 7967738
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fivb.com (Global: 1,848^th place; English: 1,961^st place)

rio2016.fivb.com

"Main draw – Men", Rio 2016, Fédération Internationale de Volleyball, archived from the original on 2016-12-23, retrieved 2021-11-14

flvc.org (Global: low place; English: 9,208^th place)

journals.flvc.org

Rosen, Edward M.; Henley, Ernest J. (Summer 1968), "The New Stoichiometry", Chemical Engineering Education, 2 (3): 120–125, archived from the original on 2021-08-02, retrieved 2021-08-02

handle.net (Global: 102^nd place; English: 76^th place)

hdl.handle.net

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Huang, Hao; Ma, Jie; Shapira, Asaf; Sudakov, Benny; Yuster, Raphael (2013), "Large feedback arc sets, high minimum degree subgraphs, and long cycles in Eulerian digraphs", Combinatorics, Probability and Computing, 22 (6): 859–873, arXiv:1202.2602, doi:10.1017/S0963548313000394, hdl:20.500.11850/73894, MR 3111546, S2CID 7967738

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Feehrer, John R.; Jordan, Harry F. (December 1995), "Placement of clock gates in time-of-flight optoelectronic circuits", Applied Optics, 34 (35): 8125–8136, Bibcode:1995ApOpt..34.8125F, doi:10.1364/ao.34.008125, PMID 21068927

huji.ac.il (Global: 3,903^rd place; English: 3,632^nd place)

cs.huji.ac.il

Dinur, Irit; Safra, Samuel (2005), "On the hardness of approximating minimum vertex cover" (PDF), Annals of Mathematics, 162 (1): 439–485, doi:10.4007/annals.2005.162.439, archived (PDF) from the original on 2009-09-20, retrieved 2021-07-29; preliminary version in Dinur, Irit; Safra, Samuel (2002), "The importance of being biased", in Reif, John H. (ed.), Proceedings of the 34th Annual ACM Symposium on Theory of Computing, May 19-21, 2002, Montréal, Québec, Canada, pp. 33–42, doi:10.1145/509907.509915, ISBN 1-58113-495-9, S2CID 1235048

jstor.org (Global: 26^th place; English: 20^th place)

Remage, Russell Jr.; Thompson, W. A. Jr. (1966), "Maximum-likelihood paired comparison rankings", Biometrika, 53 (1–2): 143–149, doi:10.1093/biomet/53.1-2.143, JSTOR 2334060, MR 0196854, PMID 5964054
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Brunk, H. D. (1960), "Mathematical models for ranking from paired comparisons", Journal of the American Statistical Association, 55 (291): 503–520, doi:10.2307/2281911, JSTOR 2281911, MR 0115242; published in preliminary form as ASTIA Document No. AD 206 573, United States Air Force, Office of Scientific Research, November 1958, hdl:2027/mdp.39015095254010
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kth.se (Global: low place; English: 8,363^rd place)

csc.kth.se

Crescenzi, Pierluigi; Kann, Viggo; Halldórsson, Magnús; Karpinski, Marek; Woeginger, Gerhard (2000), "Minimum Feedback Arc Set", A compendium of NP optimization problems, archived from the original on 2021-07-29, retrieved 2021-07-29
Kann, Viggo (1992), On the Approximability of NP-complete Optimization Problems (PDF) (Ph.D. thesis), Department of Numerical Analysis and Computing Science, Royal Institute of Technology, Stockholm, archived (PDF) from the original on 2010-12-29, retrieved 2007-10-11
Guruswami, Venkatesan; Håstad, Johan; Manokaran, Rajsekar; Raghavendra, Prasad; Charikar, Moses (2011), "Beating the random ordering is hard: every ordering CSP is approximation resistant" (PDF), SIAM Journal on Computing, 40 (3): 878–914, doi:10.1137/090756144, MR 2823511, archived (PDF) from the original on 2021-07-31, retrieved 2021-07-31

murdoch.edu.au (Global: 6,278^th place; English: 3,907^th place)

researchrepository.murdoch.edu.au

Eades, Peter; Lin, Xuemin; Smyth, W. F. (1993), "A fast and effective heuristic for the feedback arc set problem", Information Processing Letters, 47 (6): 319–323, doi:10.1016/0020-0190(93)90079-O, MR 1256786, archived from the original on 2020-10-22, retrieved 2021-08-01

nih.gov (Global: 4^th place; English: 4^th place)

pubmed.ncbi.nlm.nih.gov

Remage, Russell Jr.; Thompson, W. A. Jr. (1966), "Maximum-likelihood paired comparison rankings", Biometrika, 53 (1–2): 143–149, doi:10.1093/biomet/53.1-2.143, JSTOR 2334060, MR 0196854, PMID 5964054
Feehrer, John R.; Jordan, Harry F. (December 1995), "Placement of clock gates in time-of-flight optoelectronic circuits", Applied Optics, 34 (35): 8125–8136, Bibcode:1995ApOpt..34.8125F, doi:10.1364/ao.34.008125, PMID 21068927

princeton.edu (Global: 741^st place; English: 577^th place)

cs.princeton.edu

Arora, Sanjeev; Frieze, Alan; Kaplan, Haim (2002), "A new rounding procedure for the assignment problem with applications to dense graph arrangement problems", Mathematical Programming, 92 (1): 1–36, doi:10.1007/s101070100271, MR 1892295, S2CID 3207086, archived from the original on 2021-08-03, retrieved 2021-08-03

rit.edu (Global: 8,676^th place; English: 6,229^th place)

scholarworks.rit.edu

Isaak, Garth; Narayan, Darren A. (2004), "A classification of tournaments having an acyclic tournament as a minimum feedback arc set", Information Processing Letters, 92 (3): 107–111, doi:10.1016/j.ipl.2004.07.001, MR 2095357

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Vaziri, Baback; Dabadghao, Shaunak; Yih, Yuehwern; Morin, Thomas L. (January 2018), "Properties of sports ranking methods" (PDF), Journal of the Operational Research Society, 69 (5): 776–787, doi:10.1057/s41274-017-0266-8, S2CID 51887586
Coppersmith, Don; Fleischer, Lisa K.; Rurda, Atri (2010), "Ordering by weighted number of wins gives a good ranking for weighted tournaments", ACM Transactions on Algorithms, 6 (3): A55:1–A55:13, doi:10.1145/1798596.1798608, MR 2682624, S2CID 18416
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Karpinski, Marek; Schudy, Warren (2010), "Faster algorithms for feedback arc set tournament, Kemeny rank aggregation and betweenness tournament", in Cheong, Otfried; Chwa, Kyung-Yong; Park, Kunsoo (eds.), Algorithms and Computation - 21st International Symposium, ISAAC 2010, Jeju Island, Korea, December 15-17, 2010, Proceedings, Part I, Lecture Notes in Computer Science, vol. 6506, Springer, pp. 3–14, arXiv:1006.4396, doi:10.1007/978-3-642-17517-6_3, ISBN 978-3-642-17516-9, S2CID 16512997
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Arora, Sanjeev; Frieze, Alan; Kaplan, Haim (2002), "A new rounding procedure for the assignment problem with applications to dense graph arrangement problems", Mathematical Programming, 92 (1): 1–36, doi:10.1007/s101070100271, MR 1892295, S2CID 3207086, archived from the original on 2021-08-03, retrieved 2021-08-03
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Dinur, Irit; Safra, Samuel (2005), "On the hardness of approximating minimum vertex cover" (PDF), Annals of Mathematics, 162 (1): 439–485, doi:10.4007/annals.2005.162.439, archived (PDF) from the original on 2009-09-20, retrieved 2021-07-29; preliminary version in Dinur, Irit; Safra, Samuel (2002), "The importance of being biased", in Reif, John H. (ed.), Proceedings of the 34th Annual ACM Symposium on Theory of Computing, May 19-21, 2002, Montréal, Québec, Canada, pp. 33–42, doi:10.1145/509907.509915, ISBN 1-58113-495-9, S2CID 1235048
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Spencer, J. (1980), "Optimally ranking unrankable tournaments", Periodica Mathematica Hungarica, 11 (2): 131–144, doi:10.1007/BF02017965, MR 0573525, S2CID 119894999
Huang, Hao; Ma, Jie; Shapira, Asaf; Sudakov, Benny; Yuster, Raphael (2013), "Large feedback arc sets, high minimum degree subgraphs, and long cycles in Eulerian digraphs", Combinatorics, Probability and Computing, 22 (6): 859–873, arXiv:1202.2602, doi:10.1017/S0963548313000394, hdl:20.500.11850/73894, MR 3111546, S2CID 7967738

tue.nl (Global: 9,054^th place; English: 6,363^rd place)

pure.tue.nl

Vaziri, Baback; Dabadghao, Shaunak; Yih, Yuehwern; Morin, Thomas L. (January 2018), "Properties of sports ranking methods" (PDF), Journal of the Operational Research Society, 69 (5): 776–787, doi:10.1057/s41274-017-0266-8, S2CID 51887586

web.archive.org (Global: 1^st place; English: 1^st place)

"Main draw – Men", Rio 2016, Fédération Internationale de Volleyball, archived from the original on 2016-12-23, retrieved 2021-11-14
Rosen, Edward M.; Henley, Ernest J. (Summer 1968), "The New Stoichiometry", Chemical Engineering Education, 2 (3): 120–125, archived from the original on 2021-08-02, retrieved 2021-08-02
Crescenzi, Pierluigi; Kann, Viggo; Halldórsson, Magnús; Karpinski, Marek; Woeginger, Gerhard (2000), "Minimum Feedback Arc Set", A compendium of NP optimization problems, archived from the original on 2021-07-29, retrieved 2021-07-29
Eades, Peter; Lin, Xuemin; Smyth, W. F. (1993), "A fast and effective heuristic for the feedback arc set problem", Information Processing Letters, 47 (6): 319–323, doi:10.1016/0020-0190(93)90079-O, MR 1256786, archived from the original on 2020-10-22, retrieved 2021-08-01
Kenyon-Mathieu, Claire; Schudy, Warren (2007), "How to rank with few errors: a PTAS for weighted feedback arc set on tournaments", in Johnson, David S.; Feige, Uriel (eds.), Proceedings of the 39th Annual ACM Symposium on Theory of Computing, San Diego, California, USA, June 11-13, 2007, pp. 95–103, doi:10.1145/1250790.1250806, S2CID 9436948, ECCC TR06-144; see also author's extended version Archived 2009-01-15 at the Wayback Machine
Arora, Sanjeev; Frieze, Alan; Kaplan, Haim (2002), "A new rounding procedure for the assignment problem with applications to dense graph arrangement problems", Mathematical Programming, 92 (1): 1–36, doi:10.1007/s101070100271, MR 1892295, S2CID 3207086, archived from the original on 2021-08-03, retrieved 2021-08-03
Kann, Viggo (1992), On the Approximability of NP-complete Optimization Problems (PDF) (Ph.D. thesis), Department of Numerical Analysis and Computing Science, Royal Institute of Technology, Stockholm, archived (PDF) from the original on 2010-12-29, retrieved 2007-10-11
Dinur, Irit; Safra, Samuel (2005), "On the hardness of approximating minimum vertex cover" (PDF), Annals of Mathematics, 162 (1): 439–485, doi:10.4007/annals.2005.162.439, archived (PDF) from the original on 2009-09-20, retrieved 2021-07-29; preliminary version in Dinur, Irit; Safra, Samuel (2002), "The importance of being biased", in Reif, John H. (ed.), Proceedings of the 34th Annual ACM Symposium on Theory of Computing, May 19-21, 2002, Montréal, Québec, Canada, pp. 33–42, doi:10.1145/509907.509915, ISBN 1-58113-495-9, S2CID 1235048
Guruswami, Venkatesan; Håstad, Johan; Manokaran, Rajsekar; Raghavendra, Prasad; Charikar, Moses (2011), "Beating the random ordering is hard: every ordering CSP is approximation resistant" (PDF), SIAM Journal on Computing, 40 (3): 878–914, doi:10.1137/090756144, MR 2823511, archived (PDF) from the original on 2021-07-31, retrieved 2021-07-31

weizmann.ac.il (Global: 4,983^rd place; English: 8,002^nd place)

eccc.weizmann.ac.il

Kenyon-Mathieu, Claire; Schudy, Warren (2007), "How to rank with few errors: a PTAS for weighted feedback arc set on tournaments", in Johnson, David S.; Feige, Uriel (eds.), Proceedings of the 39th Annual ACM Symposium on Theory of Computing, San Diego, California, USA, June 11-13, 2007, pp. 95–103, doi:10.1145/1250790.1250806, S2CID 9436948, ECCC TR06-144; see also author's extended version Archived 2009-01-15 at the Wayback Machine

Feedback arc set (English Wikipedia)

ams.org (Global: 451st place; English: 277th place)

mathscinet.ams.org

arxiv.org (Global: 69th place; English: 59th place)

brown.edu (Global: 2,481st place; English: 1,558th place)

cs.brown.edu

cnrs.fr (Global: 2,402nd place; English: 5,549th place)

hal-lirmm.ccsd.cnrs.fr

doi.org (Global: 2nd place; English: 2nd place)

fivb.com (Global: 1,848th place; English: 1,961st place)