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arXiv · 1712.08999

Planar graphs without 4-cycles adjacent to triangles are DP-4-colorable

Seog-Jin Kim·Xiaowei Yu
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Abstract

DP-coloring (also known as correspondence coloring) of a simple graph is a generalization of list coloring. It is known that planar graphs without 4-cycles adjacent to triangles are 4-choosable, and planar graphs without 4-cycles are DP-4-colorable. In this paper, we show that planar graphs without 4-cycles adjacent to triangles are DP-4-colorable, which is an extension of the two results above.

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Seog-Jin Kim, Xiaowei Yu. 2017-12-25. Planar graphs without 4-cycles adjacent to triangles are DP-4-colorable. https://arxiv.org/abs/1712.08999

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