段汕,陈筱.全通道双圈图的谱半径[J].中南民族大学学报自然科学版,2010,(4):
全通道双圈图的谱半径
Spectral Radius of Fully Loaded Bicyclic Graphs
  
DOI:10.12130/znmdzk.201004113
中文关键词: 谱半径  全通道双圈图  Perron向量
英文关键词: spectral radius  fully loaded bicyclic graph  Perron vector
基金项目:中南民族大学中央高校基本科研业务费专项资金资助项目
作者:段汕  陈筱
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中文摘要:
      根据全通道双圈图具有任意圈中不存在度小于3的顶点的性质,利用邻接矩阵,得到了所有含n个向量的全通道双圈图中谱半径最大的图,并判定了其存在的唯一性.
英文摘要:
      A fully loaded bicyclic graph is a bicyclic graph with the property that there is no vertex with degree less than 3 in its cycles.In this paper, we determine the unique graph with the largest spectral radius with respect to the adjacency matrix among all the fully loaded bicyclic graph with n vertices.
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