关于平面图形dp着色不当的一个注记

IF 0.9 Q3 COMPUTER SCIENCE, THEORY & METHODS

International Journal of Computer Mathematics: Computer Systems Theory Pub Date : 2021-01-20 DOI:10.1080/23799927.2021.1872707

Hongyan Cai, Qiang Sun

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引用次数: 0

摘要

dp -着色(也称为对应着色)是由Dvořák和Postle提出的对列表着色的一种推广。许多关于图，特别是平面图的列表着色的结果，已经推广到dp着色的设置。最近，Pongpat和Kittikorn [P。Sittitrai和K. Nakprasit，平面图具有松弛dp -3可色性的充分条件，图与组合35 (2019)，pp. 837-845。介绍了DP-着色，以推广-着色和-选择性。他们证明了每一个无环的平面图G都是DP可着色的。在这篇笔记中，我们证明了以下结果:(1)每一个没有-环的平面图G都是DP-可着色的;(2)所有不带-环的平面图G都是DP-可着色的;(3)无-环的平面图G均可DP-着色。

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A note on improper DP-colouring of planar graphs

ABSTRACT DP-colouring (also known as correspondence colouring), introduced by Dvořák and Postle, is a generalization of list colouring. Many results on list-colouring of graphs, especially of planar graphs, have been extended to the setting of DP-colouring. Recently, Pongpat and Kittikorn [P. Sittitrai and K. Nakprasit, Suffficient conditions on planar graphs to have a relaxed DP-3-colourability, Graphs and Combinatorics 35 (2019), pp. 837–845.] introduced DP- -colouring to generalize -colouring and -choosability. They proved that every planar graph G without -cycles is DP- -colourable. In this note, we show the following results:(1) Every planar graph G without -cycles is DP- -colourable; (2) Every planar graph G without -cycles is DP- -colourable; (3) Every planar graph G without -cycles is DP- -colourable.

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来源期刊

International Journal of Computer Mathematics: Computer Systems Theory Computer Science-Computational Theory and Mathematics

CiteScore

1.80

自引率

0.00%

发文量