Cyclically Interval Total Coloring of the One Point Union of Cycles

• 作者: Shijun Su Wenwei Zhao Yongqiang Zhao
• 来源期刊: 离散数学期刊(英文)
• 学科: 数学
• 关键词: TOTAL COLORING INTERVAL TOTAL COLORING Cyclically INTERVAL TOTAL COLORING CYCLE One POINT UNION of Cycles
• 年，卷（期）: 2018,（3）
• 页码范围: 65-72
• 页数: 8页
• 分类号: O1

摘要

A total coloring of a graph G with colors 1, 2, ..., t is called a cyclically interval total t-coloring if all colors are used, and the edges incident to each vertex v∈V(G) together with v are colored by (dG(v)+1) consecutive colors modulo t, where dG(v) is the degree of the vertex v in G. The one point union ?of k-copies of cycle Cn is the graph obtained by taking v as a common vertex such that any two distinct cycles? and? are edge disjoint and do not have any vertex in common except v. In this paper, we study the cyclically interval total colorings of , where n≥3 and k≥2.