Sign In

Login

Password

Forgot Password ? Sign Up

Hanani–Tutte theorem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Hanani–Tutte theorem" in English language version.

refsWebsite
Global rank English rank
11doi.org
2nd place
2nd place
10ams.org
451st place
277th place
2arxiv.org
69th place
59th place
1eudml.org
low place
low place
1depaul.edu
9,635th place
6,990th place
1semanticscholar.org
11th place
8th place
1jstor.org
26th place
20th place
1sysmath.com
low place
low place
1psu.edu
207th place
136th place

ams.org

mathscinet.ams.org

  • Schaefer, Marcus (2013), "Toward a theory of planarity: Hanani–Tutte and planarity variants", Journal of Graph Algorithms and Applications, 17 (4): 367–440, doi:10.7155/jgaa.00298 (inactive 2024-07-29), MR 3094190{{citation}}: CS1 maint: DOI inactive as of July 2024 (link).
  • Tutte, W. T. (1970), "Toward a theory of crossing numbers", Journal of Combinatorial Theory, 8: 45–53, doi:10.1016/s0021-9800(70)80007-2, MR 0262110.
  • Levow, Roy B. (1972), "On Tutte's algebraic approach to the theory of crossing numbers", Proceedings of the Third Southeastern Conference on Combinatorics, Graph Theory, and Computing (Florida Atlantic Univ., Boca Raton, Fla., 1972), Florida Atlantic Univ., Boca Raton, Fla., pp. 315–314, MR 0354426.
  • van Kampen, E. R. (1933), "Komplexe in euklidischen Räumen", Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 9 (1): 72–78, doi:10.1007/BF02940628, MR 3069580, S2CID 121909529.
  • Wu, Wen-Tsün (1955), "On the realization of complexes in Euclidean spaces. I", Acta Mathematica Sinica, 5: 505–552, MR 0076334.
  • Shapiro, Arnold (1957), "Obstructions to the imbedding of a complex in a Euclidean space. I. The first obstruction", Annals of Mathematics, Second Series, 66 (2): 256–269, doi:10.2307/1969998, JSTOR 1969998, MR 0089410.
  • Wu, Wen Jun (1985), "On the planar imbedding of linear graphs. I", Journal of Systems Science and Mathematical Sciences, 5 (4): 290–302, MR 0818118. Continued in 6 (1): 23–35, 1986.
  • Pelsmajer, Michael J.; Schaefer, Marcus; Stasi, Despina (2009), "Strong Hanani–Tutte on the projective plane", SIAM Journal on Discrete Mathematics, 23 (3): 1317–1323, CiteSeerX 10.1.1.217.7182, doi:10.1137/08072485X, MR 2538654.
  • Pach, János; Tóth, Géza (2000), "Which crossing number is it anyway?", Journal of Combinatorial Theory, Series B, 80 (2): 225–246, doi:10.1006/jctb.2000.1978, MR 1794693.
  • Pelsmajer, Michael J.; Schaefer, Marcus; Štefankovič, Daniel (2007), "Removing even crossings", Journal of Combinatorial Theory, Series B, 97 (4): 489–500, doi:10.1016/j.jctb.2006.08.001, MR 2325793.

arxiv.org

  • Fulek, Radoslav; Kynčl, Jan (2019), "Counterexample to an extension of the Hanani–Tutte theorem on the surface of genus 4", Combinatorica, 39 (6): 1267–1279, arXiv:1709.00508, doi:10.1007/s00493-019-3905-7
  • Fulek, Radoslav; Pelsmajer, Michael J.; Schaefer, Marcus (2021), "Strong Hanani–Tutte for the torus", in Buchin, Kevin; Colin de Verdière, Éric (eds.), 37th International Symposium on Computational Geometry, SoCG 2021, June 7–11, 2021, Buffalo, NY, USA (Virtual Conference), LIPIcs, vol. 189, Schloss Dagstuhl – Leibniz-Zentrum für Informatik, pp. 38:1–38:15, arXiv:2009.01683, doi:10.4230/LIPIcs.SoCG.2021.38

depaul.edu

ovid.cs.depaul.edu

doi.org

  • Schaefer, Marcus (2013), "Toward a theory of planarity: Hanani–Tutte and planarity variants", Journal of Graph Algorithms and Applications, 17 (4): 367–440, doi:10.7155/jgaa.00298 (inactive 2024-07-29), MR 3094190{{citation}}: CS1 maint: DOI inactive as of July 2024 (link).
  • Chojnacki, Ch. (1934), "Über wesentlich unplättbare Kurven im dreidimensionalen Raume", Fundamenta Mathematicae, 23 (1): 135–142, doi:10.4064/fm-23-1-135-142. See in particular (1), p. 137.
  • Tutte, W. T. (1970), "Toward a theory of crossing numbers", Journal of Combinatorial Theory, 8: 45–53, doi:10.1016/s0021-9800(70)80007-2, MR 0262110.
  • van Kampen, E. R. (1933), "Komplexe in euklidischen Räumen", Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 9 (1): 72–78, doi:10.1007/BF02940628, MR 3069580, S2CID 121909529.
  • Shapiro, Arnold (1957), "Obstructions to the imbedding of a complex in a Euclidean space. I. The first obstruction", Annals of Mathematics, Second Series, 66 (2): 256–269, doi:10.2307/1969998, JSTOR 1969998, MR 0089410.
  • Pelsmajer, Michael J.; Schaefer, Marcus; Stasi, Despina (2009), "Strong Hanani–Tutte on the projective plane", SIAM Journal on Discrete Mathematics, 23 (3): 1317–1323, CiteSeerX 10.1.1.217.7182, doi:10.1137/08072485X, MR 2538654.
  • Fulek, Radoslav; Kynčl, Jan (2019), "Counterexample to an extension of the Hanani–Tutte theorem on the surface of genus 4", Combinatorica, 39 (6): 1267–1279, arXiv:1709.00508, doi:10.1007/s00493-019-3905-7
  • Fulek, Radoslav; Pelsmajer, Michael J.; Schaefer, Marcus (2021), "Strong Hanani–Tutte for the torus", in Buchin, Kevin; Colin de Verdière, Éric (eds.), 37th International Symposium on Computational Geometry, SoCG 2021, June 7–11, 2021, Buffalo, NY, USA (Virtual Conference), LIPIcs, vol. 189, Schloss Dagstuhl – Leibniz-Zentrum für Informatik, pp. 38:1–38:15, arXiv:2009.01683, doi:10.4230/LIPIcs.SoCG.2021.38
  • Pach, János; Tóth, Géza (2000), "Which crossing number is it anyway?", Journal of Combinatorial Theory, Series B, 80 (2): 225–246, doi:10.1006/jctb.2000.1978, MR 1794693.
  • Pelsmajer, Michael J.; Schaefer, Marcus; Štefankovič, Daniel (2007), "Removing even crossings", Journal of Combinatorial Theory, Series B, 97 (4): 489–500, doi:10.1016/j.jctb.2006.08.001, MR 2325793.
  • Gutwenger, C.; Mutzel, P.; Schaefer, M. (2014), "Practical experience with Hanani–Tutte for testing c-planarity", 2014 Proceedings of the Sixteenth Workshop on Algorithm Engineering and Experiments (ALENEX), pp. 86–97, doi:10.1137/1.9781611973198.9, ISBN 978-1-61197-319-8.

eudml.org

jstor.org

psu.edu

citeseerx.ist.psu.edu

semanticscholar.org

api.semanticscholar.org

sysmath.com