Three-coloring triangle-free graphs on surfaces IV. Bounding face sizes of 4-critical graphs

Author:

Dvořák ZdeněkORCID,Král' Daniel,Thomas Robin

Funder

Czech Science Foundation

NSF

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference18 articles.

1. On continuation of 3-colouring of planar graphs;Aksionov;Diskrete Anal. Novosibirsk,1974

2. Three-coloring triangle-free planar graphs in linear time;Dvořák;Trans. Algorithms,2011

3. Three-coloring triangle-free graphs on surfaces II. 4-critical graphs in a disk;Dvořák;J. Comb. Theory, Ser. B,2018

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Three-coloring triangle-free graphs on surfaces VI. 3-colorability of quadrangulations;Journal of Combinatorial Theory, Series B;2024-01

2. Precoloring extension in planar near-Eulerian-triangulations;Proceedings of the 12th European Conference on Combinatorics, Graph Theory and Applications;2023

3. Characterization of 4-critical triangle-free toroidal graphs;Journal of Combinatorial Theory, Series B;2022-05

4. Three-coloring triangle-free graphs on surfaces VII. A linear-time algorithm;Journal of Combinatorial Theory, Series B;2022-01

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