%0 Journal Article %T 一类无限路幂圈嵌套图边-平衡指数的研究<br>RESEARCH ON THE EDGE-BALANCE INDEX SETS OF A NESTED GRAPH WITH THE INFINITE PATHS AND POWER CIRCLES %A 作者 %A 成军祥 %A 陈刚 %A 田红娟 %A 郑玉歌 %J 数学杂志 %D 2015 %X 本文研究了无限路幂圈嵌套图C3m×Pm3(m ≥ 3)的边-平衡指数集.利用套圈计算的方法给出无限路幂圈嵌套图C3m×Pm3(m ≥ 3)最大的边-平衡指数的计算公式和其他指数对应图形的构造性证明,最后完全解决此类图的边-平衡指数集问题.<br>We research the problem of the edge-balance index sets of the nested graph with infinite paths and power circles C3m×Pm3(m ≥ 3). Then, using ring calculation methods to get the calculation formula of the maximum edge-balance index set of C3m×Pm3(m ≥ 3) and to give the structure proof of the graph's edge-balance index. It completely solves such edge-balance index set problem %K 边-友好标号 边-平衡指数 无限路幂圈嵌套图 带齿套圈子图< %K br> %K edge-friendly labeling edge-balance index the nested graph with the infinite paths and power circles the nested-cycle subgraph with clawed %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20150123&flag=1