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Resistance Distance and Kirchhoff Index of a Class of Join Graphs
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作者 卢鹏丽 张腾 《Journal of Donghua University(English Edition)》 EI CAS 2016年第5期786-790,共5页
For some complicated graphs obtained by graph operations,it is very difficult to compute resistance distance and Kirchhoff index.Define a new graph operation,and obtain a class of new join graphs:the subdivision-verte... For some complicated graphs obtained by graph operations,it is very difficult to compute resistance distance and Kirchhoff index.Define a new graph operation,and obtain a class of new join graphs:the subdivision-vertex-vertex join G_1* G_2.Then,describe the Laplacian matrix of the graph G_1 * G_2 and use generalized inverse of the Laplacian matrix to get formulas for resistance distance and Kirchhoff index.Through the obtained formulas,the resistance distance of any pairs of vertices and Kirchhoff index of the join graph can be computed. 展开更多
关键词 Kirchhoff Laplacian vertex inverse compute operations distance undirected connected formulas
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An Algorithm on Edge Partition
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作者 JIA Zhen\|sheng Taiyuan University of Technology, Taiyuan 030024, Shanxi 《Systems Science and Systems Engineering》 CSCD 2000年第4期439-442,共4页
In this paper, we presened a simple algorithm on edge partition.
关键词 tree graph weighted graph weight of a vertex distance between vertex and edgeP
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