Inverses of q-distance matrices of a tree

被引：4

作者：

Bapat, R. B. ^{[1
]}

Rekhi, Pritha ^{[2
]}

机构：

[1] Indian Stat Inst, New Delhi 110016, India

[2] Univ Delhi, Dept Math, New Delhi 110007, India

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2009年 / 431卷 / 10期

关键词：

Tree; Distance matrix; q-Distance; Determinant; Inverse; ZETA-FUNCTIONS; COVERINGS; GRAPHS;

D O I：

10.1016/j.laa.2009.06.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The determinant and the inverse of the distance matrix of a tree have been investigated in the literature, following the classical formulas due to Graham and Pollak for the determinant, and due to Graham and Lovasz for the inverse. We consider two cl-analogs of the distance matrix of a tree and obtain formulas for the inverses of the two distance matrices. Yan and Yeh have previously obtained expressions for the determinants of the two distance matrices. Some related results are proved. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1932 / 1939

页数：8

共 10 条

[1] On distance matrices and Laplacians [J].