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中文摘要：
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.
英文摘要：
We research the problem of the edge-bMance 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× Pm3a （m ≥ 3） and to give the structure proof of the graph＇s edge-balance index. It completely solves such edge-balance index set problem.
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