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两类3-正则图的邻点可区别I-全染色

杨随义 杨晓亚 唐保祥 何万生

山西大学学报(自然科学版)2012,Vol.35Issue(4):641-647,7.
山西大学学报(自然科学版)2012,Vol.35Issue(4):641-647,7.

两类3-正则图的邻点可区别I-全染色

Adjacent Vertex-distinguishing I-total Coloring of Two Kinds of 3-regular Graphs

杨随义 1杨晓亚 1唐保祥 1何万生1

作者信息

  • 1. 天水师范学院数学与统计学院,甘肃天水741001
  • 折叠

摘要

Abstract

The I-total coloring of a graphs G is an assignment of some colors to its vertices and edges such that no two adjacent vertices receive the dame color and no two adjacent edges receive the same color. Under the I-total coloring of G,the color set of a vertex x of G is the set of all colors which are assigned to vertex x or the edges incident to x. An I-total coloring is called adjacent vertex distinguishing if any two adjacent vertices have different color sets. The minimum number of colors required in an adjacent vertex-distinguishing I-total coloring is called adjacent vertex-distinguishing I-total chromatic number. The adjacent vertex-distinguishing I-total coloring of two kind of 3-regular graphs are discussed.

关键词

I-全染色/邻点可区别I-全染色/邻点可区别I-全色数

Key words

I-total coloring/ adjacent vertex-distinguishing I-total coloring/ adjacent vertexdistinguishing I-total chromatic number

分类

数理科学

引用本文复制引用

杨随义,杨晓亚,唐保祥,何万生..两类3-正则图的邻点可区别I-全染色[J].山西大学学报(自然科学版),2012,35(4):641-647,7.

基金项目

甘肃省自然科学基金(096RJZE106) (096RJZE106)

天水师范学院中青年教师科研资助项目(TSA1102) (TSA1102)

山西大学学报(自然科学版)

OA北大核心CSCDCSTPCD

0253-2395

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