姬玉荣, 刘金萌, 毋述斐. 圈并图F(m,n)的边-平衡指数集[J]. 信阳师范学院学报(自然科学版), 2020, 33(4): 527-532. DOI: 10.3969/j.issn.1003-0972.2020.04.003
引用本文: 姬玉荣, 刘金萌, 毋述斐. 圈并图F(m,n)的边-平衡指数集[J]. 信阳师范学院学报(自然科学版), 2020, 33(4): 527-532. DOI: 10.3969/j.issn.1003-0972.2020.04.003
JI Yurong, LIU Jinmeng, WU Shufei. On Edge-Balanced Index Sets of Circle Union Graphs F(m,n)[J]. Journal of Xinyang Normal University (Natural Science Edition), 2020, 33(4): 527-532. DOI: 10.3969/j.issn.1003-0972.2020.04.003
Citation: JI Yurong, LIU Jinmeng, WU Shufei. On Edge-Balanced Index Sets of Circle Union Graphs F(m,n)[J]. Journal of Xinyang Normal University (Natural Science Edition), 2020, 33(4): 527-532. DOI: 10.3969/j.issn.1003-0972.2020.04.003

圈并图F(m,n)的边-平衡指数集

On Edge-Balanced Index Sets of Circle Union Graphs F(m,n)

  • 摘要: 在较小圈并图的基础上,利用组合设计技巧和分析归纳法,完全解决了圈并图F(m,n)的边-平衡指数集问题,得到了圈并图F(m,n)的具体计算公式,同时给出了每一个边平衡指数相应的图形构造.

     

    Abstract: On the basis of smaller circle union graphs, the edge-balance index sets of the circle union graphs F(m,n) were investigated using the new techniques of combinatorial design and analytical induction. The formulas are derived and the designing methods of the corresponding graphs are also provided.

     

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