Every planar graph without 4-cycles and 5-cycles is (3,3)-colorable
Author:
Funder
Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Discrete Mathematics and Combinatorics,Theoretical Computer Science
Link
https://link.springer.com/content/pdf/10.1007/s00373-023-02713-0.pdf
Reference22 articles.
1. Borodin, O.V., Kostochka, A.V.: Defective 2-coloring of sparse graphs. J. Combin. Theory Ser. B 104, 72–80 (2014)
2. Borodin, O.V., Glebov, A.N., Raspaud, A.R., Salavatipour, M.R.: Planar graphs without cycles of length from 4 to 7 are 3-colorable. J. Combin. Theory Ser. B 93, 303–311 (2005)
3. Chen, M., Wang, Y., Liu, P., Xu, J.: Planar graphs without cycles of length 4 or 5 are $$(2,0,0)$$-colorable. Discrete Math. 339, 886–905 (2016)
4. Cho, E.K., Choi, I., Park, B.: Partitioning planar graphs without 4-cycles and 5-cycles into bounded degree forests. Discrete Math. 433(1), 112172 (2021)
5. Choi, I., Esperet, L.: Improper coloring of graphs on surfaces. J. Gr. Theory 91, 16–34 (2019)
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