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|Title: ||PRODUCT DISTANCE MATRIX OF A GRAPH AND SQUARED DISTANCE MATRIX OF A TREE|
|Authors: ||BAPAT, RB|
|Issue Date: ||2013|
|Publisher: ||UNIV BELGRADE|
|Citation: ||APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 7(2)285-301|
|Abstract: ||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.|
|Appears in Collections:||Article|
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