A formula for all minors of the adjacency matrix and an application

We supply a combinatorial description of any minor of the adjacency matrix of a graph. This description is then used to give a formula for the determinant and inverse of the adjacency matrix, A(G), of a graph G, whenever A(G) is invertible, where G is formed by replacing the edges of a tree by path...

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Bibliographic Details
Main Authors: Bapat R. B., Lal A. K., Pati S.
Format: Article
Language:English
Published: De Gruyter 2014-06-01
Series:Special Matrices
Subjects:
Online Access:http://www.degruyter.com/view/j/spma.2014.2.issue-1/spma-2014-0009/spma-2014-0009.xml?format=INT