The distance matrix of a bidirected tree

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Published: Jan 1, 2009
DOI: https://doi.org/10.13001/1081-3810.1308
Keywords:
Tree Distance matrix Laplacian matrix Determinant Block matrix

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Ravindra B. Bapat
Arbind K. Lal
Sukanta Pati

Abstract

A bidirected tree is a tree in which each edge is replaced by two arcs in either direction. Formulas are obtained for the determinant and the inverse of a bidirected tree, generalizing well-known formulas in the literature.


 

Article Details

Issue
Vol. 18 (2009)
Section
Article