Generalized inverse of the Laplacian matrix and some applications
Generalized inverse of the Laplacian matrix and some applications
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DOI：
10.2298/bmat0429015g
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
I. Gutman;W. Xiao
中科院分区：
文献类型：
--
作者：
I. Gutman;W. Xiao
研究了连通图的拉普拉斯矩阵的广义逆\(L^{\dagger}\)，并确定了它的一些性质。在一些物理和化学研究中，会遇到量\(r_{ij}=(L^{\dagger})_{ii}+(L^{\dagger})_{jj}-(L^{\dagger})_{ij}-(L^{\dagger})_{ji}\)，它被称为电阻距离。基于对\(L^{\dagger}\)所得到的结果，我们证明了一些先前已知的结论，并推导出电阻距离的一些新性质。
The generalized inverse L† of the Laplacian matrix of a connected graph is examined and some of its properties are established. In some physical and chemical considerations the quantity rij = {L†)ii + (L†)jj — (L†)ij - (L†)ji is encountered; it is called resistance distance. Based on the results obtained for L† we prove some previously known and deduce some new properties of the resistance distance. .