Euclidean minimum spanning tree (English Wikipedia)
Analysis of information sources in references of the Wikipedia article "Euclidean minimum spanning tree" in English language version.
refsWebsite
Global rank
English rank
11th place
8th place
6,111th place
3,868th place
18th place
17th place
5,893rd place
3,320th place
low place
low place
1,523rd place
976th place
ams.org (Global: 451st place; English: 277th place)
mathscinet.ams.org
- Gower, J. C.; Ross, G. J. S. (1969), "Minimum spanning trees and single linkage cluster analysis", Applied Statistics, 18 (1): 54–61, doi:10.2307/2346439, JSTOR 2346439, MR 0242315
- Shamos, Michael Ian; Hoey, Dan (1975), "Closest-point problems", 16th Annual Symposium on Foundations of Computer Science, Berkeley, California, USA, October 13-15, 1975, IEEE Computer Society, pp. 151–162, doi:10.1109/SFCS.1975.8, MR 0426498, S2CID 40615455
- Bose, Prosenjit; Devroye, Luc; Evans, William; Kirkpatrick, David (2006), "On the spanning ratio of Gabriel graphs and β-skeletons", SIAM Journal on Discrete Mathematics, 20 (2): 412–427, doi:10.1137/S0895480197318088, MR 2257270
- Agarwal, P. K.; Edelsbrunner, H.; Schwarzkopf, O.; Welzl, E. (1991), "Euclidean minimum spanning trees and bichromatic closest pairs", Discrete & Computational Geometry, 6 (1), Springer: 407–422, doi:10.1007/BF02574698, MR 1115099
- Clarkson, Kenneth L. (1989), "An algorithm for geometric minimum spanning trees requiring nearly linear expected time", Algorithmica, 4 (1–4): 461–469, doi:10.1007/BF01553902, MR 1019387, S2CID 22176641
- Monma, Clyde; Suri, Subhash (1992), "Transitions in geometric minimum spanning trees", Discrete & Computational Geometry, 8 (3): 265–293, doi:10.1007/BF02293049, MR 1174358, S2CID 30101649
- Frati, Fabrizio; Kaufmann, Michael (2011), "Polynomial area bounds for MST embeddings of trees", Computational Geometry: Theory and Applications, 44 (9): 529–543, doi:10.1016/j.comgeo.2011.05.005, MR 2819643, S2CID 5634139
- Krznaric, Drago; Levcopoulos, Christos; Nilsson, Bengt J. (1999), "Minimum spanning trees in dimensions", Nordic Journal of Computing, 6 (4): 446–461, MR 1736451. This version of this paper is not available online; instead, see the 1997 conference version of the same paper, doi:10.1007/3-540-63397-9_26.
- Gilbert, E. N.; Pollak, H. O. (1968), "Steiner minimal trees", SIAM Journal on Applied Mathematics, 16 (1): 1–29, doi:10.1137/0116001, JSTOR 2099400, MR 0223269
- Eppstein, David (1999), "Spanning trees and spanners" (PDF), in Sack, J.-R.; Urrutia, J. (eds.), Handbook of Computational Geometry, Elsevier, pp. 425–461, MR 1746681
- Georgakopoulos, George; Papadimitriou, Christos H. (1987), "The 1-Steiner tree problem", Journal of Algorithms, 8 (1): 122–130, doi:10.1016/0196-6774(87)90032-0, MR 0875330
- Robins, G.; Salowe, J. S. (1995), "Low-degree minimum spanning trees", Discrete & Computational Geometry, 14 (2): 151–165, doi:10.1007/BF02570700, MR 1331924, S2CID 16040977
- Steele, J. Michael; Shepp, Lawrence A.; Eddy, William F. (1987), "On the number of leaves of a Euclidean minimal spanning tree", Journal of Applied Probability, 24 (4): 809–826, doi:10.2307/3214207, JSTOR 3214207, MR 0913823, S2CID 29026025
- Preparata, Franco P.; Shamos, Michael Ian (1985), Computational Geometry: An Introduction, Texts and Monographs in Computer Science, Springer-Verlag, New York, p. 263, doi:10.1007/978-1-4612-1098-6, ISBN 0-387-96131-3, MR 0805539, S2CID 206656565
- Yao, Andrew Chi Chih (1982), "On constructing minimum spanning trees in k-dimensional spaces and related problems", SIAM Journal on Computing, 11 (4): 721–736, doi:10.1137/0211059, MR 0677663
- Bentley, Jon Louis; Weide, Bruce W.; Yao, Andrew C. (1980), "Optimal expected-time algorithms for closest point problems", ACM Transactions on Mathematical Software, 6 (4): 563–580, doi:10.1145/355921.355927, MR 0599977, S2CID 17238717
- Steele, J. Michael; Snyder, Timothy Law (1989), "Worst-case growth rates of some classical problems of combinatorial optimization", SIAM Journal on Computing, 18 (2): 278–287, doi:10.1137/0218019, MR 0986667
- Steele, J. Michael (1988), "Growth rates of Euclidean minimal spanning trees with power weighted edges", Annals of Probability, 16 (4): 1767–1787, doi:10.1214/aop/1176991596, JSTOR 2243991, MR 0958215
- Penrose, Mathew D. (1997), "The longest edge of the random minimal spanning tree", The Annals of Applied Probability, 7 (2): 340–361, doi:10.1214/aoap/1034625335, MR 1442317
- Boyce, W. M.; Garey, M. R.; Johnson, D. S. (1978), "A note on bisecting minimum spanning trees", Networks, 8 (3): 187–192, doi:10.1002/net.3230080302, MR 0491324
- Buchin, Kevin; Mulzer, Wolfgang (2011), "Delaunay triangulations in O(sort(n)) time and more", Journal of the ACM, 58 (2): A6:1–A6:27, doi:10.1145/1944345.1944347, MR 2786587, S2CID 11316974
- Mareš, Martin (2004), "Two linear time algorithms for MST on minor closed graph classes" (PDF), Archivum Mathematicum, 40 (3): 315–320, MR 2107027
- Devillers, Olivier (1992), "Randomization yields simple O(n log* n) algorithms for difficult Ω(n) problems" (PDF), International Journal of Computational Geometry & Applications, 2 (1): 97–111, doi:10.1142/S021819599200007X, MR 1159844, S2CID 60203
- Dwyer, Rex A. (1991), "Higher-dimensional Voronoi diagrams in linear expected time", Discrete & Computational Geometry, 6 (4): 343–367, doi:10.1007/BF02574694, MR 1098813
- Karger, David R.; Klein, Philip N.; Tarjan, Robert E. (1995), "A randomized linear-time algorithm to find minimum spanning trees", Journal of the ACM, 42 (2): 321–328, doi:10.1145/201019.201022, MR 1409738, S2CID 832583
- Arya, Sunil; Mount, David M. (2016), "A fast and simple algorithm for computing approximate Euclidean minimum spanning trees", in Krauthgamer, Robert (ed.), Proceedings of the Twenty-Seventh Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2016, Arlington, VA, USA, January 10-12, 2016, pp. 1220–1233, doi:10.1137/1.9781611974331.ch85, ISBN 978-1-61197-433-1, MR 3478461
- Eppstein, David (1994), "Offline algorithms for dynamic minimum spanning tree problems", Journal of Algorithms, 17 (2): 237–250, doi:10.1006/jagm.1994.1033, MR 1291541
- Chan, Timothy M. (2010), "A dynamic data structure for 3-D convex hulls and 2-D nearest neighbor queries", Journal of the ACM, 57 (3): Article 16, doi:10.1145/1706591.1706596, MR 2665885, S2CID 47454142
- Eppstein, David (1995), "Dynamic Euclidean minimum spanning trees and extrema of binary functions", Discrete & Computational Geometry, 13 (1): 111–122, doi:10.1007/BF02574030, MR 1300511, S2CID 7339165
- Katoh, N.; Tokuyama, T.; Iwano, K. (1995), "On minimum and maximum spanning trees of linearly moving points", Discrete & Computational Geometry, 13 (2): 161–176, doi:10.1007/BF02574035, MR 1314960
- Chan, Timothy M. (2003), "On levels in arrangements of curves", Discrete & Computational Geometry, 29 (3): 375–393, doi:10.1007/s00454-002-2840-2, MR 1961005, S2CID 18966889
- Rahmati, Zahed; Zarei, Alireza (2012), "Kinetic Euclidean minimum spanning tree in the plane", Journal of Discrete Algorithms, 16: 2–11, doi:10.1016/j.jda.2012.04.009, MR 2960341
- Rahmati, Zahed; Abam, Mohammad Ali; King, Valerie; Whitesides, Sue; Zarei, Alireza (2015), "A simple, faster method for kinetic proximity problems", Computational Geometry: Theory & Applications, 48 (4): 342–359, arXiv:1311.2032, doi:10.1016/j.comgeo.2014.12.002, MR 3296072, S2CID 18971251
- Yao, Andrew Chi-Chih (1991), "Lower bounds for algebraic computation trees with integer inputs", SIAM Journal on Computing, 20 (4): 655–668, doi:10.1137/0220041, MR 1105929
- Graham, R. L.; Hell, Pavol (1985), "On the history of the minimum spanning tree problem", IEEE Annals of the History of Computing, 7 (1): 43–57, doi:10.1109/mahc.1985.10011, MR 0783327, S2CID 10555375
- Lee, In-Kwon (2000), "Curve reconstruction from unorganized points", Computer Aided Geometric Design, 17 (2): 161–177, CiteSeerX 10.1.1.56.1432, doi:10.1016/S0167-8396(99)00044-8, MR 1733203
- Bartal, Yair; Gottlieb, Lee-Ad (2013), "A linear time approximation scheme for Euclidean TSP", 54th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2013, 26-29 October, 2013, Berkeley, CA, USA, pp. 698–706, CiteSeerX 10.1.1.409.1291, doi:10.1109/FOCS.2013.80, ISBN 978-0-7695-5135-7, MR 3246273, S2CID 17514182
- Flammini, Michele; Klasing, Ralf; Navarra, Alfredo; Perennes, Stephane (2007), "Improved approximation results for the minimum energy broadcasting problem", Algorithmica, 49 (4): 318–336, doi:10.1007/s00453-007-9077-7, MR 2358524, S2CID 11982404
- Eades, Peter; Whitesides, Sue (1996), "The realization problem for Euclidean minimum spanning trees is NP-hard", Algorithmica, 16 (1): 60–82, doi:10.1007/s004539900037, MR 1394494
- Angelini, Patrizio; Bruckdorfer, Till; Chiesa, Marco; Frati, Fabrizio; Kaufmann, Michael; Squarcella, Claudio (2014), "On the area requirements of Euclidean minimum spanning trees", Computational Geometry: Theory and Applications, 47 (2, part B): 200–213, doi:10.1016/j.comgeo.2012.10.011, MR 3123788
ams.org
- Pfender, Florian; Ziegler, Günter M. (September 2004), "Kissing numbers, sphere packings, and some unexpected proofs" (PDF), Notices of the American Mathematical Society: 873–883
arxiv.org (Global: 69th place; English: 59th place)
- Rahmati, Zahed; Abam, Mohammad Ali; King, Valerie; Whitesides, Sue; Zarei, Alireza (2015), "A simple, faster method for kinetic proximity problems", Computational Geometry: Theory & Applications, 48 (4): 342–359, arXiv:1311.2032, doi:10.1016/j.comgeo.2014.12.002, MR 3296072, S2CID 18971251
cccg.ca (Global: low place; English: low place)
- Rahmati, Zahed; Zarei, Alireza (2010), "Combinatorial changes of Euclidean minimum spanning tree of moving points in the plane" (PDF), Proceedings of the 22nd Annual Canadian Conference on Computational Geometry, Winnipeg, Manitoba, Canada, August 9-11, 2010, pp. 43–45
cern.ch (Global: 1,959th place; English: 1,611th place)
cds.cern.ch
- Zahn, C. T. (1973), "Using the minimum spanning tree to recognize dotted and dashed curves", 1st International Computing Symposium, Davos, Switzerland, 4–7 September 1973
doi.org (Global: 2nd place; English: 2nd place)
- Gower, J. C.; Ross, G. J. S. (1969), "Minimum spanning trees and single linkage cluster analysis", Applied Statistics, 18 (1): 54–61, doi:10.2307/2346439, JSTOR 2346439, MR 0242315
- Shamos, Michael Ian; Hoey, Dan (1975), "Closest-point problems", 16th Annual Symposium on Foundations of Computer Science, Berkeley, California, USA, October 13-15, 1975, IEEE Computer Society, pp. 151–162, doi:10.1109/SFCS.1975.8, MR 0426498, S2CID 40615455
- Bose, Prosenjit; Devroye, Luc; Evans, William; Kirkpatrick, David (2006), "On the spanning ratio of Gabriel graphs and β-skeletons", SIAM Journal on Discrete Mathematics, 20 (2): 412–427, doi:10.1137/S0895480197318088, MR 2257270
- Agarwal, P. K.; Edelsbrunner, H.; Schwarzkopf, O.; Welzl, E. (1991), "Euclidean minimum spanning trees and bichromatic closest pairs", Discrete & Computational Geometry, 6 (1), Springer: 407–422, doi:10.1007/BF02574698, MR 1115099
- March, William B.; Ram, Parikshit; Gray, Alexander G. (2010), "Fast Euclidean minimum spanning tree: algorithm, analysis, and applications", in Rao, Bharat; Krishnapuram, Balaji; Tomkins, Andrew; Yang, Qiang (eds.), Proceedings of the 16th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, Washington, DC, USA, July 25-28, 2010, pp. 603–612, doi:10.1145/1835804.1835882, S2CID 186025
- Clarkson, Kenneth L. (1989), "An algorithm for geometric minimum spanning trees requiring nearly linear expected time", Algorithmica, 4 (1–4): 461–469, doi:10.1007/BF01553902, MR 1019387, S2CID 22176641
- Monma, Clyde; Suri, Subhash (1992), "Transitions in geometric minimum spanning trees", Discrete & Computational Geometry, 8 (3): 265–293, doi:10.1007/BF02293049, MR 1174358, S2CID 30101649
- Frati, Fabrizio; Kaufmann, Michael (2011), "Polynomial area bounds for MST embeddings of trees", Computational Geometry: Theory and Applications, 44 (9): 529–543, doi:10.1016/j.comgeo.2011.05.005, MR 2819643, S2CID 5634139
- Krznaric, Drago; Levcopoulos, Christos; Nilsson, Bengt J. (1999), "Minimum spanning trees in dimensions", Nordic Journal of Computing, 6 (4): 446–461, MR 1736451. This version of this paper is not available online; instead, see the 1997 conference version of the same paper, doi:10.1007/3-540-63397-9_26.
- Gilbert, E. N.; Pollak, H. O. (1968), "Steiner minimal trees", SIAM Journal on Applied Mathematics, 16 (1): 1–29, doi:10.1137/0116001, JSTOR 2099400, MR 0223269
- Georgakopoulos, George; Papadimitriou, Christos H. (1987), "The 1-Steiner tree problem", Journal of Algorithms, 8 (1): 122–130, doi:10.1016/0196-6774(87)90032-0, MR 0875330
- Robins, G.; Salowe, J. S. (1995), "Low-degree minimum spanning trees", Discrete & Computational Geometry, 14 (2): 151–165, doi:10.1007/BF02570700, MR 1331924, S2CID 16040977
- Steele, J. Michael; Shepp, Lawrence A.; Eddy, William F. (1987), "On the number of leaves of a Euclidean minimal spanning tree", Journal of Applied Probability, 24 (4): 809–826, doi:10.2307/3214207, JSTOR 3214207, MR 0913823, S2CID 29026025
- Preparata, Franco P.; Shamos, Michael Ian (1985), Computational Geometry: An Introduction, Texts and Monographs in Computer Science, Springer-Verlag, New York, p. 263, doi:10.1007/978-1-4612-1098-6, ISBN 0-387-96131-3, MR 0805539, S2CID 206656565
- Toussaint, G. T. (1980), "Comment: Algorithms for computing relative neighborhood graph", Electronics Letters, 16 (22): 860, Bibcode:1980ElL....16..860T, doi:10.1049/el:19800611; reply by Urquhart, pp. 860–861
- Yao, Andrew Chi Chih (1982), "On constructing minimum spanning trees in k-dimensional spaces and related problems", SIAM Journal on Computing, 11 (4): 721–736, doi:10.1137/0211059, MR 0677663
- Bentley, Jon Louis; Weide, Bruce W.; Yao, Andrew C. (1980), "Optimal expected-time algorithms for closest point problems", ACM Transactions on Mathematical Software, 6 (4): 563–580, doi:10.1145/355921.355927, MR 0599977, S2CID 17238717
- Steele, J. Michael; Snyder, Timothy Law (1989), "Worst-case growth rates of some classical problems of combinatorial optimization", SIAM Journal on Computing, 18 (2): 278–287, doi:10.1137/0218019, MR 0986667
- Steele, J. Michael (1988), "Growth rates of Euclidean minimal spanning trees with power weighted edges", Annals of Probability, 16 (4): 1767–1787, doi:10.1214/aop/1176991596, JSTOR 2243991, MR 0958215
- Penrose, Mathew D. (1997), "The longest edge of the random minimal spanning tree", The Annals of Applied Probability, 7 (2): 340–361, doi:10.1214/aoap/1034625335, MR 1442317
- Boyce, W. M.; Garey, M. R.; Johnson, D. S. (1978), "A note on bisecting minimum spanning trees", Networks, 8 (3): 187–192, doi:10.1002/net.3230080302, MR 0491324
- Buchin, Kevin; Mulzer, Wolfgang (2011), "Delaunay triangulations in O(sort(n)) time and more", Journal of the ACM, 58 (2): A6:1–A6:27, doi:10.1145/1944345.1944347, MR 2786587, S2CID 11316974
- Devillers, Olivier (1992), "Randomization yields simple O(n log* n) algorithms for difficult Ω(n) problems" (PDF), International Journal of Computational Geometry & Applications, 2 (1): 97–111, doi:10.1142/S021819599200007X, MR 1159844, S2CID 60203
- Dwyer, Rex A. (1991), "Higher-dimensional Voronoi diagrams in linear expected time", Discrete & Computational Geometry, 6 (4): 343–367, doi:10.1007/BF02574694, MR 1098813
- Karger, David R.; Klein, Philip N.; Tarjan, Robert E. (1995), "A randomized linear-time algorithm to find minimum spanning trees", Journal of the ACM, 42 (2): 321–328, doi:10.1145/201019.201022, MR 1409738, S2CID 832583
- Chatterjee, S.; Connor, M.; Kumar, P. (2010), "Geometric minimum spanning trees with GeoFilterKruskal", in Festa, Paola (ed.), Experimental Algorithms: 9th International Symposium, SEA 2010, Ischia Island, Naples, Italy, May 20-22, 2010, Proceedings, Lecture Notes in Computer Science, vol. 6049, Springer-Verlag, pp. 486–500, doi:10.1007/978-3-642-13193-6_41, ISBN 978-3-642-13192-9
- Arya, Sunil; Mount, David M. (2016), "A fast and simple algorithm for computing approximate Euclidean minimum spanning trees", in Krauthgamer, Robert (ed.), Proceedings of the Twenty-Seventh Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2016, Arlington, VA, USA, January 10-12, 2016, pp. 1220–1233, doi:10.1137/1.9781611974331.ch85, ISBN 978-1-61197-433-1, MR 3478461
- Eppstein, David (1994), "Offline algorithms for dynamic minimum spanning tree problems", Journal of Algorithms, 17 (2): 237–250, doi:10.1006/jagm.1994.1033, MR 1291541
- Chan, Timothy M. (2010), "A dynamic data structure for 3-D convex hulls and 2-D nearest neighbor queries", Journal of the ACM, 57 (3): Article 16, doi:10.1145/1706591.1706596, MR 2665885, S2CID 47454142
- Eppstein, David (1995), "Dynamic Euclidean minimum spanning trees and extrema of binary functions", Discrete & Computational Geometry, 13 (1): 111–122, doi:10.1007/BF02574030, MR 1300511, S2CID 7339165
- Katoh, N.; Tokuyama, T.; Iwano, K. (1995), "On minimum and maximum spanning trees of linearly moving points", Discrete & Computational Geometry, 13 (2): 161–176, doi:10.1007/BF02574035, MR 1314960
- Chan, Timothy M. (2003), "On levels in arrangements of curves", Discrete & Computational Geometry, 29 (3): 375–393, doi:10.1007/s00454-002-2840-2, MR 1961005, S2CID 18966889
- Akitaya, Hugo A.; Biniaz, Ahmad; Bose, Prosenjit; De Carufel, Jean-Lou; Maheshwari, Anil; da Silveira, Luís Fernando Schultz Xavier; Smid, Michiel (2021), "The minimum moving spanning tree problem", in Lubiw, Anna; Salavatipour, Mohammad R. (eds.), Algorithms and Data Structures: 17th International Symposium, WADS 2021, Virtual Event, August 9–11, 2021, Proceedings, Lecture Notes in Computer Science, vol. 12808, Springer, pp. 15–28, doi:10.1007/978-3-030-83508-8_2, ISBN 978-3-030-83507-1, S2CID 234599877
- Basch, Julien; Guibas, Leonidas J.; Zhang, Li (1997), "Proximity problems on moving points", in Boissonnat, Jean-Daniel (ed.), Proceedings of the Thirteenth Annual Symposium on Computational Geometry, Nice, France, June 4–6, 1997, Association for Computing Machinery, pp. 344–351, doi:10.1145/262839.262998, ISBN 0-89791-878-9, S2CID 15556637
- Agarwal, Pankaj K.; Eppstein, David; Guibas, Leonidas J.; Henzinger, Monika Rauch (1998), "Parametric and Kinetic Minimum Spanning Trees", 39th Annual Symposium on Foundations of Computer Science, FOCS '98, November 8–11, 1998, Palo Alto, California, USA (PDF), IEEE Computer Society, pp. 596–605, doi:10.1109/SFCS.1998.743510, ISBN 0-8186-9172-7, S2CID 2559456
- Rahmati, Zahed; Zarei, Alireza (2012), "Kinetic Euclidean minimum spanning tree in the plane", Journal of Discrete Algorithms, 16: 2–11, doi:10.1016/j.jda.2012.04.009, MR 2960341
- Rahmati, Zahed; Abam, Mohammad Ali; King, Valerie; Whitesides, Sue; Zarei, Alireza (2015), "A simple, faster method for kinetic proximity problems", Computational Geometry: Theory & Applications, 48 (4): 342–359, arXiv:1311.2032, doi:10.1016/j.comgeo.2014.12.002, MR 3296072, S2CID 18971251
- Meulemans, Wouter; Speckmann, Bettina; Verbeek, Kevin; Wulms, Jules (2018), "A framework for algorithm stability and its application to kinetic Euclidean MSTs", in Bender, Michael A.; Farach-Colton, Martin; Mosteiro, Miguel A. (eds.), LATIN 2018: Theoretical Informatics – 13th Latin American Symposium, Buenos Aires, Argentina, April 16–19, 2018, Proceedings, Lecture Notes in Computer Science, vol. 10807, Springer, pp. 805–819, doi:10.1007/978-3-319-77404-6_58, ISBN 978-3-319-77403-9, S2CID 4709616
- Yao, Andrew Chi-Chih (1991), "Lower bounds for algebraic computation trees with integer inputs", SIAM Journal on Computing, 20 (4): 655–668, doi:10.1137/0220041, MR 1105929
- Graham, R. L.; Hell, Pavol (1985), "On the history of the minimum spanning tree problem", IEEE Annals of the History of Computing, 7 (1): 43–57, doi:10.1109/mahc.1985.10011, MR 0783327, S2CID 10555375
- Loberman, H.; Weinberger, A. (October 1957), "Formal procedures for connecting terminals with a minimum total wire length", Journal of the ACM, 4 (4): 428–437, doi:10.1145/320893.320896, S2CID 7320964
- Wu, Bin; Yu, Bailang; Wu, Qiusheng; Chen, Zuoqi; Yao, Shenjun; Huang, Yan; Wu, Jianping (October 2017), "An extended minimum spanning tree method for characterizing local urban patterns", International Journal of Geographical Information Science, 32 (3): 450–475, doi:10.1080/13658816.2017.1384830, S2CID 46772272
- Lee, In-Kwon (2000), "Curve reconstruction from unorganized points", Computer Aided Geometric Design, 17 (2): 161–177, CiteSeerX 10.1.1.56.1432, doi:10.1016/S0167-8396(99)00044-8, MR 1733203
- Bartal, Yair; Gottlieb, Lee-Ad (2013), "A linear time approximation scheme for Euclidean TSP", 54th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2013, 26-29 October, 2013, Berkeley, CA, USA, pp. 698–706, CiteSeerX 10.1.1.409.1291, doi:10.1109/FOCS.2013.80, ISBN 978-0-7695-5135-7, MR 3246273, S2CID 17514182
- Wan, P.-J.; Călinescu, G.; Li, X.-Y.; Frieder, O. (2002), "Minimum-energy broadcasting in static ad hoc wireless networks", Wireless Networks, 8 (6): 607–617, doi:10.1023/a:1020381720601, S2CID 1297518
- Clementi, Andrea E. F.; Huiban, Gurvan; Rossi, Gianluca; Verhoeven, Yann C.; Penna, Paolo (2003), "On the approximation ratio of the MST-based heuristic for the energy-efficient broadcast problem in static ad-hoc radio networks", 17th International Parallel and Distributed Processing Symposium (IPDPS 2003), 22-26 April 2003, Nice, France, Proceedings, IEEE Computer Society, p. 222, doi:10.1109/IPDPS.2003.1213407, ISBN 0-7695-1926-1, S2CID 17863487
- Flammini, Michele; Klasing, Ralf; Navarra, Alfredo; Perennes, Stephane (2007), "Improved approximation results for the minimum energy broadcasting problem", Algorithmica, 49 (4): 318–336, doi:10.1007/s00453-007-9077-7, MR 2358524, S2CID 11982404
- Ambühl, Christoph (2005), "An optimal bound for the MST algorithm to compute energy efficient broadcast trees in wireless networks", in Caires, Luís; Italiano, Giuseppe F.; Monteiro, Luís; Palamidessi, Catuscia; Yung, Moti (eds.), Automata, Languages and Programming, 32nd International Colloquium, ICALP 2005, Lisbon, Portugal, July 11-15, 2005, Proceedings, Lecture Notes in Computer Science, vol. 3580, Springer, pp. 1139–1150, doi:10.1007/11523468_92, ISBN 978-3-540-27580-0
- Eades, Peter; Whitesides, Sue (1996), "The realization problem for Euclidean minimum spanning trees is NP-hard", Algorithmica, 16 (1): 60–82, doi:10.1007/s004539900037, MR 1394494
- Angelini, Patrizio; Bruckdorfer, Till; Chiesa, Marco; Frati, Fabrizio; Kaufmann, Michael; Squarcella, Claudio (2014), "On the area requirements of Euclidean minimum spanning trees", Computational Geometry: Theory and Applications, 47 (2, part B): 200–213, doi:10.1016/j.comgeo.2012.10.011, MR 3123788
emis.de (Global: low place; English: low place)
- Mareš, Martin (2004), "Two linear time algorithms for MST on minor closed graph classes" (PDF), Archivum Mathematicum, 40 (3): 315–320, MR 2107027
epfl.ch (Global: 4,521st place; English: 4,877th place)
infoscience.epfl.ch
- Agarwal, Pankaj K.; Eppstein, David; Guibas, Leonidas J.; Henzinger, Monika Rauch (1998), "Parametric and Kinetic Minimum Spanning Trees", 39th Annual Symposium on Foundations of Computer Science, FOCS '98, November 8–11, 1998, Palo Alto, California, USA (PDF), IEEE Computer Society, pp. 596–605, doi:10.1109/SFCS.1998.743510, ISBN 0-8186-9172-7, S2CID 2559456
escholarship.org (Global: 1,523rd place; English: 976th place)
- Eppstein, David (1994), "Offline algorithms for dynamic minimum spanning tree problems", Journal of Algorithms, 17 (2): 237–250, doi:10.1006/jagm.1994.1033, MR 1291541
figshare.com (Global: 5,893rd place; English: 3,320th place)
- Bentley, Jon Louis; Weide, Bruce W.; Yao, Andrew C. (1980), "Optimal expected-time algorithms for closest point problems", ACM Transactions on Mathematical Software, 6 (4): 563–580, doi:10.1145/355921.355927, MR 0599977, S2CID 17238717
harvard.edu (Global: 18th place; English: 17th place)
ui.adsabs.harvard.edu
- Toussaint, G. T. (1980), "Comment: Algorithms for computing relative neighborhood graph", Electronics Letters, 16 (22): 860, Bibcode:1980ElL....16..860T, doi:10.1049/el:19800611; reply by Urquhart, pp. 860–861
inria.fr (Global: 4,903rd place; English: 3,679th place)
hal.inria.fr
- Devillers, Olivier (1992), "Randomization yields simple O(n log* n) algorithms for difficult Ω(n) problems" (PDF), International Journal of Computational Geometry & Applications, 2 (1): 97–111, doi:10.1142/S021819599200007X, MR 1159844, S2CID 60203
jstor.org (Global: 26th place; English: 20th place)
- Gower, J. C.; Ross, G. J. S. (1969), "Minimum spanning trees and single linkage cluster analysis", Applied Statistics, 18 (1): 54–61, doi:10.2307/2346439, JSTOR 2346439, MR 0242315
- Gilbert, E. N.; Pollak, H. O. (1968), "Steiner minimal trees", SIAM Journal on Applied Mathematics, 16 (1): 1–29, doi:10.1137/0116001, JSTOR 2099400, MR 0223269
- Steele, J. Michael; Shepp, Lawrence A.; Eddy, William F. (1987), "On the number of leaves of a Euclidean minimal spanning tree", Journal of Applied Probability, 24 (4): 809–826, doi:10.2307/3214207, JSTOR 3214207, MR 0913823, S2CID 29026025
- Steele, J. Michael (1988), "Growth rates of Euclidean minimal spanning trees with power weighted edges", Annals of Probability, 16 (4): 1767–1787, doi:10.1214/aop/1176991596, JSTOR 2243991, MR 0958215
openproblem.net (Global: low place; English: low place)
topp.openproblem.net
- O'Rourke, J.; Demaine, E. (2001–2002), "Problem 5: Euclidean Minimum Spanning Tree", The Open Problems Project, Smith College
psu.edu (Global: 207th place; English: 136th place)
citeseerx.ist.psu.edu
- Lee, In-Kwon (2000), "Curve reconstruction from unorganized points", Computer Aided Geometric Design, 17 (2): 161–177, CiteSeerX 10.1.1.56.1432, doi:10.1016/S0167-8396(99)00044-8, MR 1733203
- Bartal, Yair; Gottlieb, Lee-Ad (2013), "A linear time approximation scheme for Euclidean TSP", 54th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2013, 26-29 October, 2013, Berkeley, CA, USA, pp. 698–706, CiteSeerX 10.1.1.409.1291, doi:10.1109/FOCS.2013.80, ISBN 978-0-7695-5135-7, MR 3246273, S2CID 17514182
queensu.ca (Global: 6,111th place; English: 3,868th place)
cs.queensu.ca
- King, James A. (2006), "Realization of degree 10 minimum spanning trees in 3-space" (PDF), Proceedings of the 18th Annual Canadian Conference on Computational Geometry, CCCG 2006, August 14-16, 2006, Queen's University, Ontario, Canada, pp. 39–42
semanticscholar.org (Global: 11th place; English: 8th place)
api.semanticscholar.org
- Shamos, Michael Ian; Hoey, Dan (1975), "Closest-point problems", 16th Annual Symposium on Foundations of Computer Science, Berkeley, California, USA, October 13-15, 1975, IEEE Computer Society, pp. 151–162, doi:10.1109/SFCS.1975.8, MR 0426498, S2CID 40615455
- March, William B.; Ram, Parikshit; Gray, Alexander G. (2010), "Fast Euclidean minimum spanning tree: algorithm, analysis, and applications", in Rao, Bharat; Krishnapuram, Balaji; Tomkins, Andrew; Yang, Qiang (eds.), Proceedings of the 16th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, Washington, DC, USA, July 25-28, 2010, pp. 603–612, doi:10.1145/1835804.1835882, S2CID 186025
- Clarkson, Kenneth L. (1989), "An algorithm for geometric minimum spanning trees requiring nearly linear expected time", Algorithmica, 4 (1–4): 461–469, doi:10.1007/BF01553902, MR 1019387, S2CID 22176641
- Monma, Clyde; Suri, Subhash (1992), "Transitions in geometric minimum spanning trees", Discrete & Computational Geometry, 8 (3): 265–293, doi:10.1007/BF02293049, MR 1174358, S2CID 30101649
- Frati, Fabrizio; Kaufmann, Michael (2011), "Polynomial area bounds for MST embeddings of trees", Computational Geometry: Theory and Applications, 44 (9): 529–543, doi:10.1016/j.comgeo.2011.05.005, MR 2819643, S2CID 5634139
- Robins, G.; Salowe, J. S. (1995), "Low-degree minimum spanning trees", Discrete & Computational Geometry, 14 (2): 151–165, doi:10.1007/BF02570700, MR 1331924, S2CID 16040977
- Steele, J. Michael; Shepp, Lawrence A.; Eddy, William F. (1987), "On the number of leaves of a Euclidean minimal spanning tree", Journal of Applied Probability, 24 (4): 809–826, doi:10.2307/3214207, JSTOR 3214207, MR 0913823, S2CID 29026025
- Preparata, Franco P.; Shamos, Michael Ian (1985), Computational Geometry: An Introduction, Texts and Monographs in Computer Science, Springer-Verlag, New York, p. 263, doi:10.1007/978-1-4612-1098-6, ISBN 0-387-96131-3, MR 0805539, S2CID 206656565
- Bentley, Jon Louis; Weide, Bruce W.; Yao, Andrew C. (1980), "Optimal expected-time algorithms for closest point problems", ACM Transactions on Mathematical Software, 6 (4): 563–580, doi:10.1145/355921.355927, MR 0599977, S2CID 17238717
- Buchin, Kevin; Mulzer, Wolfgang (2011), "Delaunay triangulations in O(sort(n)) time and more", Journal of the ACM, 58 (2): A6:1–A6:27, doi:10.1145/1944345.1944347, MR 2786587, S2CID 11316974
- Devillers, Olivier (1992), "Randomization yields simple O(n log* n) algorithms for difficult Ω(n) problems" (PDF), International Journal of Computational Geometry & Applications, 2 (1): 97–111, doi:10.1142/S021819599200007X, MR 1159844, S2CID 60203
- Karger, David R.; Klein, Philip N.; Tarjan, Robert E. (1995), "A randomized linear-time algorithm to find minimum spanning trees", Journal of the ACM, 42 (2): 321–328, doi:10.1145/201019.201022, MR 1409738, S2CID 832583
- Chan, Timothy M. (2010), "A dynamic data structure for 3-D convex hulls and 2-D nearest neighbor queries", Journal of the ACM, 57 (3): Article 16, doi:10.1145/1706591.1706596, MR 2665885, S2CID 47454142
- Eppstein, David (1995), "Dynamic Euclidean minimum spanning trees and extrema of binary functions", Discrete & Computational Geometry, 13 (1): 111–122, doi:10.1007/BF02574030, MR 1300511, S2CID 7339165
- Chan, Timothy M. (2003), "On levels in arrangements of curves", Discrete & Computational Geometry, 29 (3): 375–393, doi:10.1007/s00454-002-2840-2, MR 1961005, S2CID 18966889
- Akitaya, Hugo A.; Biniaz, Ahmad; Bose, Prosenjit; De Carufel, Jean-Lou; Maheshwari, Anil; da Silveira, Luís Fernando Schultz Xavier; Smid, Michiel (2021), "The minimum moving spanning tree problem", in Lubiw, Anna; Salavatipour, Mohammad R. (eds.), Algorithms and Data Structures: 17th International Symposium, WADS 2021, Virtual Event, August 9–11, 2021, Proceedings, Lecture Notes in Computer Science, vol. 12808, Springer, pp. 15–28, doi:10.1007/978-3-030-83508-8_2, ISBN 978-3-030-83507-1, S2CID 234599877
- Basch, Julien; Guibas, Leonidas J.; Zhang, Li (1997), "Proximity problems on moving points", in Boissonnat, Jean-Daniel (ed.), Proceedings of the Thirteenth Annual Symposium on Computational Geometry, Nice, France, June 4–6, 1997, Association for Computing Machinery, pp. 344–351, doi:10.1145/262839.262998, ISBN 0-89791-878-9, S2CID 15556637
- Agarwal, Pankaj K.; Eppstein, David; Guibas, Leonidas J.; Henzinger, Monika Rauch (1998), "Parametric and Kinetic Minimum Spanning Trees", 39th Annual Symposium on Foundations of Computer Science, FOCS '98, November 8–11, 1998, Palo Alto, California, USA (PDF), IEEE Computer Society, pp. 596–605, doi:10.1109/SFCS.1998.743510, ISBN 0-8186-9172-7, S2CID 2559456
- Rahmati, Zahed; Abam, Mohammad Ali; King, Valerie; Whitesides, Sue; Zarei, Alireza (2015), "A simple, faster method for kinetic proximity problems", Computational Geometry: Theory & Applications, 48 (4): 342–359, arXiv:1311.2032, doi:10.1016/j.comgeo.2014.12.002, MR 3296072, S2CID 18971251
- Meulemans, Wouter; Speckmann, Bettina; Verbeek, Kevin; Wulms, Jules (2018), "A framework for algorithm stability and its application to kinetic Euclidean MSTs", in Bender, Michael A.; Farach-Colton, Martin; Mosteiro, Miguel A. (eds.), LATIN 2018: Theoretical Informatics – 13th Latin American Symposium, Buenos Aires, Argentina, April 16–19, 2018, Proceedings, Lecture Notes in Computer Science, vol. 10807, Springer, pp. 805–819, doi:10.1007/978-3-319-77404-6_58, ISBN 978-3-319-77403-9, S2CID 4709616
- Graham, R. L.; Hell, Pavol (1985), "On the history of the minimum spanning tree problem", IEEE Annals of the History of Computing, 7 (1): 43–57, doi:10.1109/mahc.1985.10011, MR 0783327, S2CID 10555375
- Loberman, H.; Weinberger, A. (October 1957), "Formal procedures for connecting terminals with a minimum total wire length", Journal of the ACM, 4 (4): 428–437, doi:10.1145/320893.320896, S2CID 7320964
- Wu, Bin; Yu, Bailang; Wu, Qiusheng; Chen, Zuoqi; Yao, Shenjun; Huang, Yan; Wu, Jianping (October 2017), "An extended minimum spanning tree method for characterizing local urban patterns", International Journal of Geographical Information Science, 32 (3): 450–475, doi:10.1080/13658816.2017.1384830, S2CID 46772272
- Bartal, Yair; Gottlieb, Lee-Ad (2013), "A linear time approximation scheme for Euclidean TSP", 54th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2013, 26-29 October, 2013, Berkeley, CA, USA, pp. 698–706, CiteSeerX 10.1.1.409.1291, doi:10.1109/FOCS.2013.80, ISBN 978-0-7695-5135-7, MR 3246273, S2CID 17514182
- Wan, P.-J.; Călinescu, G.; Li, X.-Y.; Frieder, O. (2002), "Minimum-energy broadcasting in static ad hoc wireless networks", Wireless Networks, 8 (6): 607–617, doi:10.1023/a:1020381720601, S2CID 1297518
- Clementi, Andrea E. F.; Huiban, Gurvan; Rossi, Gianluca; Verhoeven, Yann C.; Penna, Paolo (2003), "On the approximation ratio of the MST-based heuristic for the energy-efficient broadcast problem in static ad-hoc radio networks", 17th International Parallel and Distributed Processing Symposium (IPDPS 2003), 22-26 April 2003, Nice, France, Proceedings, IEEE Computer Society, p. 222, doi:10.1109/IPDPS.2003.1213407, ISBN 0-7695-1926-1, S2CID 17863487
- Flammini, Michele; Klasing, Ralf; Navarra, Alfredo; Perennes, Stephane (2007), "Improved approximation results for the minimum energy broadcasting problem", Algorithmica, 49 (4): 318–336, doi:10.1007/s00453-007-9077-7, MR 2358524, S2CID 11982404
tue.nl (Global: 9,054th place; English: 6,363rd place)
research.tue.nl
- Meulemans, Wouter; Speckmann, Bettina; Verbeek, Kevin; Wulms, Jules (2018), "A framework for algorithm stability and its application to kinetic Euclidean MSTs", in Bender, Michael A.; Farach-Colton, Martin; Mosteiro, Miguel A. (eds.), LATIN 2018: Theoretical Informatics – 13th Latin American Symposium, Buenos Aires, Argentina, April 16–19, 2018, Proceedings, Lecture Notes in Computer Science, vol. 10807, Springer, pp. 805–819, doi:10.1007/978-3-319-77404-6_58, ISBN 978-3-319-77403-9, S2CID 4709616
uci.edu (Global: 3,063rd place; English: 2,041st place)
ics.uci.edu
- Eppstein, David (1999), "Spanning trees and spanners" (PDF), in Sack, J.-R.; Urrutia, J. (eds.), Handbook of Computational Geometry, Elsevier, pp. 425–461, MR 1746681