Cyclically Interval Total Colorings of Cycles and Middle Graphs of Cycles

Yongqiang Zhao, Shijun Su
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引用次数: 1

Abstract

A total coloring of a graph G is a functionsuch that no adjacent vertices, edges, and no incident vertices and edges obtain the same color. A k-interval is a set of k consecutive integers. A cyclically interval total t-coloring of a graph G is a total coloring a of G with colors 1,2,...,t, such that at least one vertex or edge of G is colored by i,i=1,2,...,t, and for any, the set is a -interval, or is a -interval, where dG(x) is the degree of the vertex x in G. In this paper, we study the cyclically interval total colorings of cycles and middle graphs of cycles.
循环区间的全着色与循环中间图
图G的全着色是一个函数,使得没有相邻的顶点、边以及没有入射的顶点和边获得相同的颜色。k区间是k个连续整数的集合。图G的循环区间全t-染色是G的具有颜色1,。。。,t、 使得G的至少一个顶点或边由i着色,i=1,2,。。。,t、 并且对于任何一个,该集是一个-区间,或者是一个区间,其中dG(x)是G中顶点x的度。本文研究了循环的循环区间总着色和循环的中间图。
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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