Matchstick graph (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Matchstick graph" in English language version.

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ams.org

mathscinet.ams.org

  • Gervacio, Severino V.; Lim, Yvette F.; Maehara, Hiroshi (2008), "Planar unit-distance graphs having planar unit-distance complement", Discrete Mathematics, 308 (10): 1973–1984, doi:10.1016/j.disc.2007.04.050, MR 2394465
  • Gerbracht, Eberhard H.-A. (2011), "Symbol-crunching the Harborth graph", Advances in Applied Mathematics, 47 (2): 276–281, doi:10.1016/j.aam.2010.09.003, MR 2803803. For additional details see the earlier preprint in Gerbracht, Eberhard H.-A. (2006), "Minimal Polynomials for the Coordinates of the Harborth Graph", arXiv:math/0609360{{cite arXiv}}: CS1 maint: overridden setting (link).
  • Kurz, Sascha; Pinchasi, Rom (2011), "Regular matchstick graphs", American Mathematical Monthly, 118 (3): 264–267, arXiv:1401.4372, doi:10.4169/amer.math.monthly.118.03.264, MR 2800336, S2CID 866740.
  • Lavollée, Jérémy; Swanepoel, Konrad J. (2023), "The number of small-degree vertices in matchstick graphs", The Australasian Journal of Combinatorics, 85: 92–99, arXiv:2206.03956, MR 4515475
  • Kurz, Sascha (2011), "Fast recognition of planar non unit distance graphs", Geombinatorics, 21 (1): 25–33, arXiv:1401.4375, MR 2858668.
  • Itai, Alon; Papadimitriou, Christos H.; Szwarcfiter, Jayme Luiz (1982), "Hamilton paths in grid graphs", SIAM Journal on Computing, 11 (4): 676–686, CiteSeerX 10.1.1.383.1078, doi:10.1137/0211056, MR 0677661.
  • Carlson, Josiah; Eppstein, David (2006), "Trees with convex faces and optimal angles", in Kaufmann, Michael; Wagner, Dorothea (eds.), Proceedings of the 14th International Symposium on Graph Drawing, Lecture Notes in Computer Science, vol. 4372, Springer-Verlag, pp. 77–88, arXiv:cs.CG/0607113, doi:10.1007/978-3-540-70904-6_9, ISBN 978-3-540-70903-9, MR 2393907, S2CID 12598338.

arxiv.org

  • Gerbracht, Eberhard H.-A. (2011), "Symbol-crunching the Harborth graph", Advances in Applied Mathematics, 47 (2): 276–281, doi:10.1016/j.aam.2010.09.003, MR 2803803. For additional details see the earlier preprint in Gerbracht, Eberhard H.-A. (2006), "Minimal Polynomials for the Coordinates of the Harborth Graph", arXiv:math/0609360{{cite arXiv}}: CS1 maint: overridden setting (link).
  • Kurz, Sascha; Pinchasi, Rom (2011), "Regular matchstick graphs", American Mathematical Monthly, 118 (3): 264–267, arXiv:1401.4372, doi:10.4169/amer.math.monthly.118.03.264, MR 2800336, S2CID 866740.
  • Winkler, Mike; Dinkelacker, Peter; Vogel, Stefan (2017), "New minimal (4; n)-regular matchstick graphs", Geombinatorics, 27: 26–44, arXiv:1604.07134.
  • Winkler, Mike; Dinkelacker, Peter; Vogel, Stefan (2017), On the existence of 4-regular matchstick graphs, arXiv:1705.00293.
  • Lavollée, Jérémy; Swanepoel, Konrad J. (2023), "The number of small-degree vertices in matchstick graphs", The Australasian Journal of Combinatorics, 85: 92–99, arXiv:2206.03956, MR 4515475
  • Kurz, Sascha; Mazzuoccolo, Giuseppe (2010), "3-regular matchstick graphs with given girth", Geombinatorics, 19: 156–175, arXiv:1401.4360.
  • Winkler, Mike; Dinkelacker, Peter; Vogel, Stefan (2020), "A 3-regular matchstick graph of girth 5 consisting of 54 vertices", Geombinatorics, 29: 116–121, arXiv:1903.04304.
  • Lavollée, Jérémy; Swanepoel, Konrad (August 18, 2023), "A Tight Bound for the Number of Edges of Matchstick Graphs", Discrete & Computational Geometry, arXiv:2209.09800, doi:10.1007/s00454-023-00530-z, ISSN 1432-0444
  • Kurz, Sascha (2011), "Fast recognition of planar non unit distance graphs", Geombinatorics, 21 (1): 25–33, arXiv:1401.4375, MR 2858668.
  • Salvia, Raffaele (2013), "A catalog for matchstick graphs", arXiv:1303.5965 [math.CO]{{cite arXiv}}: CS1 maint: overridden setting (link)
  • Carlson, Josiah; Eppstein, David (2006), "Trees with convex faces and optimal angles", in Kaufmann, Michael; Wagner, Dorothea (eds.), Proceedings of the 14th International Symposium on Graph Drawing, Lecture Notes in Computer Science, vol. 4372, Springer-Verlag, pp. 77–88, arXiv:cs.CG/0607113, doi:10.1007/978-3-540-70904-6_9, ISBN 978-3-540-70903-9, MR 2393907, S2CID 12598338.
  • Eppstein, David; Wortman, Kevin A. (2011), "Optimal angular resolution for face-symmetric drawings", Journal of Graph Algorithms and Applications, 15 (4): 551–564, arXiv:0907.5474, doi:10.7155/jgaa.00238, S2CID 10356432.

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cs.brown.edu

doi.org

  • Gervacio, Severino V.; Lim, Yvette F.; Maehara, Hiroshi (2008), "Planar unit-distance graphs having planar unit-distance complement", Discrete Mathematics, 308 (10): 1973–1984, doi:10.1016/j.disc.2007.04.050, MR 2394465
  • Gerbracht, Eberhard H.-A. (2011), "Symbol-crunching the Harborth graph", Advances in Applied Mathematics, 47 (2): 276–281, doi:10.1016/j.aam.2010.09.003, MR 2803803. For additional details see the earlier preprint in Gerbracht, Eberhard H.-A. (2006), "Minimal Polynomials for the Coordinates of the Harborth Graph", arXiv:math/0609360{{cite arXiv}}: CS1 maint: overridden setting (link).
  • Kurz, Sascha; Pinchasi, Rom (2011), "Regular matchstick graphs", American Mathematical Monthly, 118 (3): 264–267, arXiv:1401.4372, doi:10.4169/amer.math.monthly.118.03.264, MR 2800336, S2CID 866740.
  • Lavollée, Jérémy; Swanepoel, Konrad (August 18, 2023), "A Tight Bound for the Number of Edges of Matchstick Graphs", Discrete & Computational Geometry, arXiv:2209.09800, doi:10.1007/s00454-023-00530-z, ISSN 1432-0444
  • Eades, Peter; Wormald, Nicholas C. (1990), "Fixed edge-length graph drawing is NP-hard", Discrete Applied Mathematics, 28 (2): 111–134, doi:10.1016/0166-218X(90)90110-X.
  • Cabello, Sergio; Demaine, Erik D.; Rote, Günter (2007), "Planar embeddings of graphs with specified edge lengths" (PDF), Journal of Graph Algorithms and Applications, 11 (1): 259–276, doi:10.7155/jgaa.00145.
  • Abel, Zachary; Demaine, Erik D.; Demaine, Martin L.; Eisenstat, Sarah; Lynch, Jayson; Schardl, Tao B. (2016), "Who needs crossings? Hardness of plane graph rigidity", in Fekete, Sándor; Lubiw, Anna (eds.), 32nd International Symposium on Computational Geometry (SoCG 2016), Leibniz International Proceedings in Informatics (LIPIcs), vol. 51, Dagstuhl, Germany: Schloss Dagstuhl–Leibniz-Zentrum fuer Informatik, pp. 3:1–3:15, doi:10.4230/LIPIcs.SoCG.2016.3, ISBN 978-3-95977-009-5.
  • Itai, Alon; Papadimitriou, Christos H.; Szwarcfiter, Jayme Luiz (1982), "Hamilton paths in grid graphs", SIAM Journal on Computing, 11 (4): 676–686, CiteSeerX 10.1.1.383.1078, doi:10.1137/0211056, MR 0677661.
  • Fruchterman, Thomas M. J.; Reingold, Edward M. (1991), "Graph Drawing by Force-Directed Placement", Software: Practice and Experience, 21 (11), Wiley: 1129–1164, doi:10.1002/spe.4380211102, S2CID 31468174.
  • Carlson, Josiah; Eppstein, David (2006), "Trees with convex faces and optimal angles", in Kaufmann, Michael; Wagner, Dorothea (eds.), Proceedings of the 14th International Symposium on Graph Drawing, Lecture Notes in Computer Science, vol. 4372, Springer-Verlag, pp. 77–88, arXiv:cs.CG/0607113, doi:10.1007/978-3-540-70904-6_9, ISBN 978-3-540-70903-9, MR 2393907, S2CID 12598338.
  • Eppstein, David; Wortman, Kevin A. (2011), "Optimal angular resolution for face-symmetric drawings", Journal of Graph Algorithms and Applications, 15 (4): 551–564, arXiv:0907.5474, doi:10.7155/jgaa.00238, S2CID 10356432.

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