正确的太太和大多数的颜色

IF 0.7 3区数学 Q2 MATHEMATICS

Discrete Mathematics Pub Date : 2025-05-23 DOI:10.1016/j.disc.2025.114577

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

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引用次数: 0

摘要

有向图的多数着色是顶点着色，其中每个顶点与最多一半的外邻居具有相同的颜色。在这篇笔记中，我们简化了一些证明技术，并推广了先前已知的关于多数着色的各种推广的结果。特别是，我们统一和简化的方法适用于可涂性-在线模拟列表着色。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Mrs. Correct and majority colorings

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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来源期刊

Discrete Mathematics 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

424

审稿时长

6 months

期刊介绍： Discrete Mathematics provides a common forum for significant research in many areas of discrete mathematics and combinatorics. Among the fields covered by Discrete Mathematics are graph and hypergraph theory, enumeration, coding theory, block designs, the combinatorics of partially ordered sets, extremal set theory, matroid theory, algebraic combinatorics, discrete geometry, matrices, and discrete probability theory. Items in the journal include research articles (Contributions or Notes, depending on length) and survey/expository articles (Perspectives). Efforts are made to process the submission of Notes (short articles) quickly. The Perspectives section features expository articles accessible to a broad audience that cast new light or present unifying points of view on well-known or insufficiently-known topics.