TITLE:
Cyclically Interval Total Coloring of the One Point Union of Cycles
AUTHORS:
Shijun Su, Wenwei Zhao, Yongqiang Zhao
KEYWORDS:
Total Coloring, Interval Total Coloring, Cyclically Interval Total Coloring, Cycle, One Point Union of Cycles
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.8 No.3,
May
18,
2018
ABSTRACT: 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.