自斜视在rook的图形上稳定了着色游戏

Q2 Mathematics

Electronic Notes in Discrete Mathematics Pub Date : 2018-07-01 DOI:10.1016/j.endm.2018.06.040

Stephan Dominique Andres, Helena Bergold, Raúl M. Falcón

引用次数: 4

摘要

我们在n×n车图上引入自自论稳定着色游戏的自自自论变体，作为后者的自然推广，使得每个棋盘构型都与尊重给定自自自自性的n阶部分拉丁方唯一相关(θ;π)。为此,我们区分π∈{Id(12)}和π∈{(13)、(23)、(123)、(132)}。该变异的复杂性是通过自拟真稳定博弈色数来检验的。给出了一些说明性的例子和结果。

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Autoparatopism stabilized colouring games on rook's graphs

We introduce the autoparatopism variant of the autotopism stabilized colouring game on the $n \times n$ rook's graph as a natural generalization of the latter so that each board configuration is uniquely related to a partial Latin square of order n that respects a given autoparatopism (θ; π). To this end, we distinguish between $π \in {Id, (12)}$ and $π \in {(13), (23), (123), (132)}$ . The complexity of this variant is examined by means of the autoparatopism stabilized game chromatic number. Some illustrative examples and results are shown.

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来源期刊

Electronic Notes in Discrete Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Electronic Notes in Discrete Mathematics is a venue for the rapid electronic publication of the proceedings of conferences, of lecture notes, monographs and other similar material for which quick publication is appropriate. Organizers of conferences whose proceedings appear in Electronic Notes in Discrete Mathematics, and authors of other material appearing as a volume in the series are allowed to make hard copies of the relevant volume for limited distribution. For example, conference proceedings may be distributed to participants at the meeting, and lecture notes can be distributed to those taking a course based on the material in the volume.