List-edge and list-total colorings of graphs embedded on surfaces of negative Euler characteristic

Ying Wang; Wu Wang

doi:10.1117/12.2639672

17 May 2022 List-edge and list-total colorings of graphs embedded on surfaces of negative Euler characteristic

Ying Wang, Wu Wang

Proceedings Volume 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022); 122590M (2022) https://doi.org/10.1117/12.2639672
Event: 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing, 2022, Kunming, China

Abstract

In this paper, we prove that if G is a graph with maximum degree ∆ and without intersecting triangles embedded on a surface of Euler characteristic ε < 0 and Δ ≥√24-16ε+3, then χ _'list (G) = Δand 1)( χ list ′′ G +Δ=+1 .

Citation Download Citation

Ying Wang and Wu Wang "List-edge and list-total colorings of graphs embedded on surfaces of negative Euler characteristic", Proc. SPIE 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), 122590M (17 May 2022); https://doi.org/10.1117/12.2639672

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