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双圈图的代数连通度(英文) 被引量:4

On the algebraic connectivity of bicyclic graphs
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摘要 边数等于点数加1的连通图称为双圈图.研究双圈图G的代数连通度,记作α(G),证明了结论:对所有的n(n≥10)阶双圈图G都有α(G)≤1成立,并且确定了满足α(G)=1的所有n(n≥10)阶双圈图. Bicyclic graphs are connected graphs in which the number of edges equals the number of vertices plus one.The aothors study the algebraic connectivity α(G)of a bicyclic graph G on n vertices and prove that α(G)≤1 for all bicyclic graphs G on n(n≥10)vertices.Funhermore they determine all the bicyclic graphs G on n(,n≥10)vertices such that α(G)=1.
机构地区 同济大学数学系
出处 《黑龙江大学自然科学学报》 CAS 北大核心 2007年第4期451-454,共4页 Journal of Natural Science of Heilongjiang University
基金 Supported by Natural Science Foundation of Shanghai Educational Committee(05EZ50)
关键词 双圈图 LAPLACIAN矩阵 代数连通度 Bicyclic graphs Laplacian matrix Algebraic connectivity
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