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PRODUCT DISTANCE MATRIX OF A GRAPH AND SQUARED DISTANCE MATRIX OF A TREE

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Title PRODUCT DISTANCE MATRIX OF A GRAPH AND SQUARED DISTANCE MATRIX OF A TREE
 
Creator BAPAT, RB
SIVASUBRAMANIAN, S
 
Subject Distance
trees
degrees
block
line graph
 
Description Let G be a strongly connected, weighted directed graph. We define a product distance eta(i, j) for pairs i, j of vertices and form the corresponding product distance matrix. We obtain a formula for the determinant and the inverse of the product distance matrix. The edge orientation matrix of a directed tree is defined and a formula for its determinant and its inverse, when it exists, is obtained. A formula for the determinant of the (entry-wise) squared distance matrix of a tree is proved.
 
Publisher UNIV BELGRADE
 
Date 2014-10-17T05:06:54Z
2014-10-17T05:06:54Z
2013
 
Type Article
 
Identifier APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 7(2)285-301
http://dx.doi.org/10.2298/AADM130415006B
http://dspace.library.iitb.ac.in/jspui/handle/100/16025
 
Language en