冠图PnoSm与PnoTm,2的b-染色数与b-连续性  

The b-chromatic Number and b-continuity of Corona Graphs PnoSm and Pno Tm,2

作　　者：吕闯[1] 王科伦[2] 张若东[1] 景翔宇 LV Chuang1, WANG Ke-lun2, ZHANG Ruo-dong1, JING Xiang-yu2(1. Department of Mathematics, Jilin Medical University, Jilin 132013, China） （2. Department of Mathematics, Dalian Maritime University, Dalian 116026, China)

机构地区：[1]吉林医药学院数学教研室,长春吉林132013 [2]大连海事大学数学系,辽宁大连116026

出　　处：《数学的实践与认识》2018年第17期140-147,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61472058)

摘　　要：图的b-染色是一个满足任意两个不同色类之间至少存在一条边相连的正常点染色,把所用的最多颜色数称为b-色数.根据冠图的结构特点,通过构造具体染色方案,研究了冠图P_noS_m与P_noT_（m,2）的b-染色数与b-连续性.The b-coloring of a graph is a normal vertex coloring which satisfies there being at least one edge between any two different color classes. The most number of colors used for a b-coloring on a graph is called the b-chromatic number. According to the structural characteristics of the corona graph, the b-chromatic number and b-continuity of the corana graphs Pn o Sm and Pn o Tm,2 are obtained by constructing the specific coloring scheme.

关 键 词：色数 b-染色 b-色数 b-连续 m-度 冠图 

分 类 号：O157.5[理学—数学]