Every signed planar graph without cycles of length from 4 to 8 is 3-colorable

Author:

Hu Lili,Li Xiangwen

Funder

NSF of Fujian

NSF of China

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference11 articles.

1. On small faces in 4-critical graphs;Abbott;Ars Combin.,1991

2. Graph Theory with Applications;Bondy,1976

3. Structural properties of plane graphs without adjacent triangles and an application to 3-colorings;Borodin;J. Graph Theory,1996

4. Planar graphs without cycles of length from 4 to 7 are 3-colorable;Borodin;J. Combin. Theory Ser. B,2005

5. Steinberg’s conjecture is false;Cohen-Addad;J. Combin. Theory Ser. B,2017

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1. $(I,F)$-partition of planar graphs without cycles of length 4, 6, or 9;Discussiones Mathematicae Graph Theory;2023

2. Signed colouring and list colouring of k‐chromatic graphs;Journal of Graph Theory;2021-10-08

3. Planar graphs without intersecting 5-cycles are signed-4-choosable;Discrete Mathematics, Algorithms and Applications;2021-07-06

4. Concepts of signed graph coloring;European Journal of Combinatorics;2021-01

5. Alon–Tarsi Number and Modulo Alon–Tarsi Number of Signed Graphs;Graphs and Combinatorics;2019-06-22

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