Longest path problem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Longest path problem" in English language version.

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16doi.org

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7ams.org

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6semanticscholar.org

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5psu.edu

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4books.google.com

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3arxiv.org

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2web.archive.org

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2nih.gov

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1colorado.edu

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1lu.se

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1nbn-resolving.de

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1tamu.edu

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1uprrp.edu

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1siam.org

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1uoi.gr

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1harvard.edu

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ams.org

mathscinet.ams.org

Björklund, Andreas; Husfeldt, Thore; Khanna, Sanjeev (2004), "Approximating longest directed paths and cycles", Proc. Int. Coll. Automata, Languages and Programming (ICALP 2004), Lecture Notes in Computer Science, vol. 3142, Berlin: Springer-Verlag, pp. 222–233, MR 2160935.
Gabow, Harold N.; Nie, Shuxin (2008), "Finding long paths, cycles and circuits", International Symposium on Algorithms and Computation, Lecture Notes in Computer Science, vol. 5369, Berlin: Springer, pp. 752–763, doi:10.1007/978-3-540-92182-0_66, ISBN 978-3-540-92181-3, MR 2539968. For earlier work with even weaker approximation bounds, see Gabow, Harold N. (2007), "Finding paths and cycles of superpolylogarithmic length" (PDF), SIAM Journal on Computing, 36 (6): 1648–1671, doi:10.1137/S0097539704445366, MR 2299418 and Björklund, Andreas; Husfeldt, Thore (2003), "Finding a path of superlogarithmic length", SIAM Journal on Computing, 32 (6): 1395–1402, doi:10.1137/S0097539702416761, MR 2034242.
Karger, David; Motwani, Rajeev; Ramkumar, G. D. S. (1997), "On approximating the longest path in a graph", Algorithmica, 18 (1): 82–98, doi:10.1007/BF02523689, MR 1432030, S2CID 3241830.
Alon, Noga; Yuster, Raphael; Zwick, Uri (1995), "Color-coding", Journal of the ACM, 42 (4): 844–856, doi:10.1145/210332.210337, MR 1411787, S2CID 208936467.
Bodlaender, Hans L. (1993), "On linear time minor tests with depth-first search", Journal of Algorithms, 14 (1): 1–23, doi:10.1006/jagm.1993.1001, MR 1199244. For an earlier FPT algorithm with slightly better dependence on the path length, but worse dependence on the size of the graph, see Monien, B. (1985), "How to find long paths efficiently", Analysis and design of algorithms for combinatorial problems (Udine, 1982), North-Holland Math. Stud., vol. 109, Amsterdam: North-Holland, pp. 239–254, doi:10.1016/S0304-0208(08)73110-4, ISBN 9780444876997, MR 0808004.
Koutis, Ioannis (2008), "Faster algebraic algorithms for path and packing problems", International Colloquium on Automata, Languages and Programming (PDF), Lecture Notes in Computer Science, vol. 5125, Berlin: Springer, pp. 575–586, CiteSeerX 10.1.1.141.6899, doi:10.1007/978-3-540-70575-8_47, ISBN 978-3-540-70574-1, MR 2500302, archived from the original (PDF) on 2017-08-09, retrieved 2013-08-09.
Williams, Ryan (2009), "Finding paths of length k in O*(2^k) time", Information Processing Letters, 109 (6): 315–318, arXiv:0807.3026, doi:10.1016/j.ipl.2008.11.004, MR 2493730, S2CID 10295448.

arxiv.org

Williams, Ryan (2009), "Finding paths of length k in O*(2^k) time", Information Processing Letters, 109 (6): 315–318, arXiv:0807.3026, doi:10.1016/j.ipl.2008.11.004, MR 2493730, S2CID 10295448.
Mertzios, George B.; Corneil, Derek G. (2012), "A simple polynomial algorithm for the longest path problem on cocomparability graphs", SIAM Journal on Discrete Mathematics, 26 (3): 940–963, arXiv:1004.4560, doi:10.1137/100793529, S2CID 4645245.
Evans, T.S.; Calmon, L.; Vasiliauskaite, V. (2020), "The Longest Path in the Price Model", Scientific Reports, 10 (1): 10503, arXiv:1903.03667, Bibcode:2020NatSR..1010503E, doi:10.1038/s41598-020-67421-8, PMC 7324613, PMID 32601403

books.google.com

Schrijver, Alexander (2003), Combinatorial Optimization: Polyhedra and Efficiency, Volume 1, Algorithms and Combinatorics, vol. 24, Springer, p. 114, ISBN 9783540443896.
Cormen, Thomas H.; Leiserson, Charles E.; Rivest, Ronald L.; Stein, Clifford (2001), Introduction To Algorithms (2nd ed.), MIT Press, p. 978, ISBN 9780262032933.
Lawler, Eugene L. (2001), Combinatorial Optimization: Networks and Matroids, Courier Dover Publications, p. 64, ISBN 9780486414539.
Sedgewick, Robert; Wayne, Kevin Daniel (2011), Algorithms (4th ed.), Addison-Wesley Professional, pp. 661–666, ISBN 9780321573513.

colorado.edu

cs.colorado.edu

Gabow, Harold N.; Nie, Shuxin (2008), "Finding long paths, cycles and circuits", International Symposium on Algorithms and Computation, Lecture Notes in Computer Science, vol. 5369, Berlin: Springer, pp. 752–763, doi:10.1007/978-3-540-92182-0_66, ISBN 978-3-540-92181-3, MR 2539968. For earlier work with even weaker approximation bounds, see Gabow, Harold N. (2007), "Finding paths and cycles of superpolylogarithmic length" (PDF), SIAM Journal on Computing, 36 (6): 1648–1671, doi:10.1137/S0097539704445366, MR 2299418 and Björklund, Andreas; Husfeldt, Thore (2003), "Finding a path of superlogarithmic length", SIAM Journal on Computing, 32 (6): 1395–1402, doi:10.1137/S0097539702416761, MR 2034242.

doi.org

Gabow, Harold N.; Nie, Shuxin (2008), "Finding long paths, cycles and circuits", International Symposium on Algorithms and Computation, Lecture Notes in Computer Science, vol. 5369, Berlin: Springer, pp. 752–763, doi:10.1007/978-3-540-92182-0_66, ISBN 978-3-540-92181-3, MR 2539968. For earlier work with even weaker approximation bounds, see Gabow, Harold N. (2007), "Finding paths and cycles of superpolylogarithmic length" (PDF), SIAM Journal on Computing, 36 (6): 1648–1671, doi:10.1137/S0097539704445366, MR 2299418 and Björklund, Andreas; Husfeldt, Thore (2003), "Finding a path of superlogarithmic length", SIAM Journal on Computing, 32 (6): 1395–1402, doi:10.1137/S0097539702416761, MR 2034242.
Karger, David; Motwani, Rajeev; Ramkumar, G. D. S. (1997), "On approximating the longest path in a graph", Algorithmica, 18 (1): 82–98, doi:10.1007/BF02523689, MR 1432030, S2CID 3241830.
Alon, Noga; Yuster, Raphael; Zwick, Uri (1995), "Color-coding", Journal of the ACM, 42 (4): 844–856, doi:10.1145/210332.210337, MR 1411787, S2CID 208936467.
Bodlaender, Hans L. (1993), "On linear time minor tests with depth-first search", Journal of Algorithms, 14 (1): 1–23, doi:10.1006/jagm.1993.1001, MR 1199244. For an earlier FPT algorithm with slightly better dependence on the path length, but worse dependence on the size of the graph, see Monien, B. (1985), "How to find long paths efficiently", Analysis and design of algorithms for combinatorial problems (Udine, 1982), North-Holland Math. Stud., vol. 109, Amsterdam: North-Holland, pp. 239–254, doi:10.1016/S0304-0208(08)73110-4, ISBN 9780444876997, MR 0808004.
Koutis, Ioannis (2008), "Faster algebraic algorithms for path and packing problems", International Colloquium on Automata, Languages and Programming (PDF), Lecture Notes in Computer Science, vol. 5125, Berlin: Springer, pp. 575–586, CiteSeerX 10.1.1.141.6899, doi:10.1007/978-3-540-70575-8_47, ISBN 978-3-540-70574-1, MR 2500302, archived from the original (PDF) on 2017-08-09, retrieved 2013-08-09.
Williams, Ryan (2009), "Finding paths of length k in O*(2^k) time", Information Processing Letters, 109 (6): 315–318, arXiv:0807.3026, doi:10.1016/j.ipl.2008.11.004, MR 2493730, S2CID 10295448.
Bulterman, R.W.; van der Sommen, F.W.; Zwaan, G.; Verhoeff, T.; van Gasteren, A.J.M. (2002), "On computing a longest path in a tree", Information Processing Letters, 81 (2): 93–96, doi:10.1016/S0020-0190(01)00198-3.
Uehara, Ryuhei; Uno, Yushi (2004), "Efficient algorithms for the longest path problem", in Fleischer, Rudolf; Trippen, Gerhard (eds.), Algorithms and Computation, 15th International Symposium, ISAAC 2004, Hong Kong, China, December 20-22, 2004, Proceedings, Lecture Notes in Computer Science, vol. 3341, Springer, pp. 871–883, doi:10.1007/978-3-540-30551-4_74, ISBN 978-3-540-24131-7.
Uehara, Ryuhei; Valiente, Gabriel (2007), "Linear structure of bipartite permutation graphs and the longest path problem", Information Processing Letters, 103 (2): 71–77, CiteSeerX 10.1.1.101.96, doi:10.1016/j.ipl.2007.02.010.
Takahara, Yoshihiro; Teramoto, Sachio; Uehara, Ryuhei (2008), "Longest path problems on Ptolemaic graphs", IEICE Transactions, 91-D (2): 170–177, doi:10.1093/ietisy/e91-d.2.170.
Ioannidou, Kyriaki; Mertzios, George B.; Nikolopoulos, Stavros D. (2011), "The longest path problem has a polynomial solution on interval graphs", Algorithmica, 61 (2): 320–341, CiteSeerX 10.1.1.224.4927, doi:10.1007/s00453-010-9411-3, S2CID 7577817.
Mertzios, George B.; Bezakova, Ivona (2014), "Computing and counting longest paths on circular-arc graphs in polynomial time", Discrete Applied Mathematics, 164 (2): 383–399, CiteSeerX 10.1.1.224.779, doi:10.1016/j.dam.2012.08.024.
Mertzios, George B.; Corneil, Derek G. (2012), "A simple polynomial algorithm for the longest path problem on cocomparability graphs", SIAM Journal on Discrete Mathematics, 26 (3): 940–963, arXiv:1004.4560, doi:10.1137/100793529, S2CID 4645245.
Corneil, Derek G.; Krueger, Richard (2008), "A unified view of graph searching", SIAM Journal on Discrete Mathematics, 22 (4): 1259–1276, doi:10.1137/050623498.
Ioannidou, Kyriaki; Nikolopoulos, Stavros D. (2011), "The longest path problem is polynomial on cocomparability graphs" (PDF), Algorithmica, 65: 177–205, CiteSeerX 10.1.1.415.9996, doi:10.1007/s00453-011-9583-5, S2CID 7271040.
Evans, T.S.; Calmon, L.; Vasiliauskaite, V. (2020), "The Longest Path in the Price Model", Scientific Reports, 10 (1): 10503, arXiv:1903.03667, Bibcode:2020NatSR..1010503E, doi:10.1038/s41598-020-67421-8, PMC 7324613, PMID 32601403

harvard.edu

ui.adsabs.harvard.edu

Evans, T.S.; Calmon, L.; Vasiliauskaite, V. (2020), "The Longest Path in the Price Model", Scientific Reports, 10 (1): 10503, arXiv:1903.03667, Bibcode:2020NatSR..1010503E, doi:10.1038/s41598-020-67421-8, PMC 7324613, PMID 32601403

lu.se

lup.lub.lu.se

Gabow, Harold N.; Nie, Shuxin (2008), "Finding long paths, cycles and circuits", International Symposium on Algorithms and Computation, Lecture Notes in Computer Science, vol. 5369, Berlin: Springer, pp. 752–763, doi:10.1007/978-3-540-92182-0_66, ISBN 978-3-540-92181-3, MR 2539968. For earlier work with even weaker approximation bounds, see Gabow, Harold N. (2007), "Finding paths and cycles of superpolylogarithmic length" (PDF), SIAM Journal on Computing, 36 (6): 1648–1671, doi:10.1137/S0097539704445366, MR 2299418 and Björklund, Andreas; Husfeldt, Thore (2003), "Finding a path of superlogarithmic length", SIAM Journal on Computing, 32 (6): 1395–1402, doi:10.1137/S0097539702416761, MR 2034242.

nbn-resolving.de

Bodlaender, Hans L. (1993), "On linear time minor tests with depth-first search", Journal of Algorithms, 14 (1): 1–23, doi:10.1006/jagm.1993.1001, MR 1199244. For an earlier FPT algorithm with slightly better dependence on the path length, but worse dependence on the size of the graph, see Monien, B. (1985), "How to find long paths efficiently", Analysis and design of algorithms for combinatorial problems (Udine, 1982), North-Holland Math. Stud., vol. 109, Amsterdam: North-Holland, pp. 239–254, doi:10.1016/S0304-0208(08)73110-4, ISBN 9780444876997, MR 0808004.

nih.gov

ncbi.nlm.nih.gov

Evans, T.S.; Calmon, L.; Vasiliauskaite, V. (2020), "The Longest Path in the Price Model", Scientific Reports, 10 (1): 10503, arXiv:1903.03667, Bibcode:2020NatSR..1010503E, doi:10.1038/s41598-020-67421-8, PMC 7324613, PMID 32601403

pubmed.ncbi.nlm.nih.gov

Evans, T.S.; Calmon, L.; Vasiliauskaite, V. (2020), "The Longest Path in the Price Model", Scientific Reports, 10 (1): 10503, arXiv:1903.03667, Bibcode:2020NatSR..1010503E, doi:10.1038/s41598-020-67421-8, PMC 7324613, PMID 32601403

psu.edu

citeseerx.ist.psu.edu

Koutis, Ioannis (2008), "Faster algebraic algorithms for path and packing problems", International Colloquium on Automata, Languages and Programming (PDF), Lecture Notes in Computer Science, vol. 5125, Berlin: Springer, pp. 575–586, CiteSeerX 10.1.1.141.6899, doi:10.1007/978-3-540-70575-8_47, ISBN 978-3-540-70574-1, MR 2500302, archived from the original (PDF) on 2017-08-09, retrieved 2013-08-09.
Uehara, Ryuhei; Valiente, Gabriel (2007), "Linear structure of bipartite permutation graphs and the longest path problem", Information Processing Letters, 103 (2): 71–77, CiteSeerX 10.1.1.101.96, doi:10.1016/j.ipl.2007.02.010.
Ioannidou, Kyriaki; Mertzios, George B.; Nikolopoulos, Stavros D. (2011), "The longest path problem has a polynomial solution on interval graphs", Algorithmica, 61 (2): 320–341, CiteSeerX 10.1.1.224.4927, doi:10.1007/s00453-010-9411-3, S2CID 7577817.
Mertzios, George B.; Bezakova, Ivona (2014), "Computing and counting longest paths on circular-arc graphs in polynomial time", Discrete Applied Mathematics, 164 (2): 383–399, CiteSeerX 10.1.1.224.779, doi:10.1016/j.dam.2012.08.024.
Ioannidou, Kyriaki; Nikolopoulos, Stavros D. (2011), "The longest path problem is polynomial on cocomparability graphs" (PDF), Algorithmica, 65: 177–205, CiteSeerX 10.1.1.415.9996, doi:10.1007/s00453-011-9583-5, S2CID 7271040.

semanticscholar.org

api.semanticscholar.org

Karger, David; Motwani, Rajeev; Ramkumar, G. D. S. (1997), "On approximating the longest path in a graph", Algorithmica, 18 (1): 82–98, doi:10.1007/BF02523689, MR 1432030, S2CID 3241830.
Alon, Noga; Yuster, Raphael; Zwick, Uri (1995), "Color-coding", Journal of the ACM, 42 (4): 844–856, doi:10.1145/210332.210337, MR 1411787, S2CID 208936467.
Williams, Ryan (2009), "Finding paths of length k in O*(2^k) time", Information Processing Letters, 109 (6): 315–318, arXiv:0807.3026, doi:10.1016/j.ipl.2008.11.004, MR 2493730, S2CID 10295448.
Ioannidou, Kyriaki; Mertzios, George B.; Nikolopoulos, Stavros D. (2011), "The longest path problem has a polynomial solution on interval graphs", Algorithmica, 61 (2): 320–341, CiteSeerX 10.1.1.224.4927, doi:10.1007/s00453-010-9411-3, S2CID 7577817.
Mertzios, George B.; Corneil, Derek G. (2012), "A simple polynomial algorithm for the longest path problem on cocomparability graphs", SIAM Journal on Discrete Mathematics, 26 (3): 940–963, arXiv:1004.4560, doi:10.1137/100793529, S2CID 4645245.
Ioannidou, Kyriaki; Nikolopoulos, Stavros D. (2011), "The longest path problem is polynomial on cocomparability graphs" (PDF), Algorithmica, 65: 177–205, CiteSeerX 10.1.1.415.9996, doi:10.1007/s00453-011-9583-5, S2CID 7271040.

siam.org

Fomin, Fedor V.; Golovach, Petr A.; Lokshtanov, Daniel; Saurabh, Saket (2009), "Clique-width: on the price of generality", Proc. 20th ACM-SIAM Symposium on Discrete Algorithms (SODA '09) (PDF), pp. 825–834, archived from the original (PDF) on 2012-10-18, retrieved 2012-12-01.

tamu.edu

faculty.cse.tamu.edu

Chen, Jianer; Lu, Songjian; Sze, Sing-Hoi; Zhang, Fenghui (2007), "Improved algorithms for path, matching, and packing problems", Proc. 18th ACM-SIAM Symposium on Discrete algorithms (SODA '07) (PDF), pp. 298–307.

uoi.gr

cs.uoi.gr

Ioannidou, Kyriaki; Nikolopoulos, Stavros D. (2011), "The longest path problem is polynomial on cocomparability graphs" (PDF), Algorithmica, 65: 177–205, CiteSeerX 10.1.1.415.9996, doi:10.1007/s00453-011-9583-5, S2CID 7271040.

uprrp.edu

ccom.uprrp.edu

Koutis, Ioannis (2008), "Faster algebraic algorithms for path and packing problems", International Colloquium on Automata, Languages and Programming (PDF), Lecture Notes in Computer Science, vol. 5125, Berlin: Springer, pp. 575–586, CiteSeerX 10.1.1.141.6899, doi:10.1007/978-3-540-70575-8_47, ISBN 978-3-540-70574-1, MR 2500302, archived from the original (PDF) on 2017-08-09, retrieved 2013-08-09.

web.archive.org

Koutis, Ioannis (2008), "Faster algebraic algorithms for path and packing problems", International Colloquium on Automata, Languages and Programming (PDF), Lecture Notes in Computer Science, vol. 5125, Berlin: Springer, pp. 575–586, CiteSeerX 10.1.1.141.6899, doi:10.1007/978-3-540-70575-8_47, ISBN 978-3-540-70574-1, MR 2500302, archived from the original (PDF) on 2017-08-09, retrieved 2013-08-09.
Fomin, Fedor V.; Golovach, Petr A.; Lokshtanov, Daniel; Saurabh, Saket (2009), "Clique-width: on the price of generality", Proc. 20th ACM-SIAM Symposium on Discrete Algorithms (SODA '09) (PDF), pp. 825–834, archived from the original (PDF) on 2012-10-18, retrieved 2012-12-01.