论文标题

正确和多数颜色

Mrs. Correct and Majority Colorings

论文作者

Anholcer, Marcin, Bosek, Bartłomiej, Grytczuk, Jarosław, Gutowski, Grzegorz, Przybyło, Jakub, Zając, Mariusz

论文摘要

有向图的大多数着色是顶点着色,其中每个顶点的颜色与最多的近邻居的最大颜色相同。在本说明中,我们简化了一些证明技术,并在多数着色的各种概括方面概括了先前已知的结果。特别是,我们的统一和简化的方法可用于油漆 - 列表着色的在线类似物。

A majority coloring of a directed graph is a vertex coloring in which each vertex has the same color as at most half of its out-neighbors. In this note we simplify some proof techniques and generalize previously known results on various generalizations of majority coloring. In particular, our unified and simplified approach works for paintability - an on-line analog of the list coloring.

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