论文标题

一些特殊图的星形颜色

Star edge-coloring of some special graphs

论文作者

Hou, Xuling, Li, Lingxi, Wang, Tao

论文摘要

由$χ_ {\ mathrm {star}}'(g)$表示的Multigraph $ g $的星形索引是$ g $的边缘,因此没有长度或周期的长度$ 4 $所需的最小颜色数量。在本文中,我们研究了Halin图,$ K $ - 功率图和广义Petersen Graphs $ P(3n,n)$的Star Edge色彩。

The star chromatic index of a multigraph $G$, denoted by $χ_{\mathrm{star}}'(G)$, is the minimum number of colors needed to properly color the edges of $G$ such that no path or cycle of length $4$ is bicolored. In this paper, we study the star edge-coloring of Halin graphs, $k$-power graphs and the generalized Petersen graphs $P(3n, n)$.

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