Kemeny's constant and the effective graph resistance

被引：24
|
作者：
Wang, Xiangrong [1 ]
Dubbeldam, Johan L. A. [1 ]
Van Mieghem, Piet [1 ]
机构：
[1] Fac Elect Engn Math & Comp Sci, POB 5031, NL-2600 GA Delft, Netherlands
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2017年 / 535卷
关键词：
Kemeny constant; Effective graph resistance or; Kirchhoff index; Multiplicative degree-Kirchhoff index; Moore-Penrose pseudo-inverse; Spectral graph theory; KIRCHHOFF INDEX; COMPLEX NETWORKS; DISTANCE; BOUNDS;
D O I：
10.1016/j.laa.2017.09.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Kemeny's constant and its relation to the effective graph resistance has been established for regular graphs by Palacios et al. [1]. Based on the Moore Penrose pseudo-inverse of the Laplacian matrix, we derive a new closed-form formula and deduce upper and lower bounds for the Kemeny constant. Furthermore, we generalize the relation between the Kemeny constant and the effective graph resistance for a general connected, undirected graph. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：231 / 244
页数：14
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