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引用次数: 0
摘要
我们考虑了两种不同的图着色概念，即邦迪和西蒙诺维茨于 1974 年提出的顶点 t 周期着色，以及最近在非回溯算子谱理论中提出的面向边的周期着色。对于这两种着色，我们分别介绍了相应的着色数，它是通过最大化可能的着色数来给出的。我们首先分别研究这两种新的着色数，然后证明它们之间存在着深刻的关系。
We consider two different notions of graph colouring, namely, the t-periodic colouring for vertices that has been introduced in 1974 by Bondy and Simonovits, and the periodic colouring for oriented edges that has been recently introduced in the context of spectral theory of non-backtracking operators. For each of these two colourings, we introduce the corresponding colouring number which is given by maximising the possible number of colours. We first investigate these two new colouring numbers individually, and we then show that there is a deep relationship between them.
期刊介绍：
Graphs and Combinatorics is an international journal devoted to research concerning all aspects of combinatorial mathematics. In addition to original research papers, the journal also features survey articles from authors invited by the editorial board.
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