一类无限路幂圈嵌套图边-平衡指数的研究

摘要

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。%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.