Bounded Degree Conjecture Holds Precisely for c-Crossing-Critical Graphs with c ≤ 12-Reference-Cited by-同舟云学术

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Bounded Degree Conjecture Holds Precisely for c-Crossing-Critical Graphs with c ≤ 12

Published:2022-03-14 Issue:5 Volume:42 Page:701-728
ISSN:0209-9683
Container-title:Combinatorica
language:en
Short-container-title:Combinatorica

Author:

Bokal Drago,Dvořák Zdenĕk,Hlinĕný Petr,Leaños Jesús,Mohar Bojan,Wiedera Tilo

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Discrete Mathematics and Combinatorics

Link

https://link.springer.com/content/pdf/10.1007/s00493-021-4285-3.pdf

Reference22 articles.

1. B. Pinontoan and R. B. Richter: Crossing numbers of sequences of graphs II: planar tiles, J. Graph Theory 42 (2003), 332–341.

2. B. Mohar and C. Thomassen: Graphs on Surfaces, Johns Hopkins University Press, 2001.

3. B. Mohar, R. J. Nowakowski and D. B. West: Research problems from the 5th Slovenian Conference (Bled, 2003), Discrete Math. 307 (2007), 650–658.

4. C. Hernández-Vélez, G. Salazar and R. Thomas: Nested cycles in large triangulations and crossing-critical graphs, J. Comb. Theory, Series B 102 (2012), 86–92.

5. D. Bokal: Infinite families of crossing-critical graphs with prescribed average degree and crossing number, J. Graph Theory 65 (2010), 139–162.

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1. The crossing number of the generalized Petersen graph P(3k,k) in the projective plane;AKCE International Journal of Graphs and Combinatorics;2023-08-24

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