Reducing the adjacency matrix of a tree

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Reducing the Adjacency Matrix of a Tree

Let T be a tree, A its adjacency matrix, and a scalar. We describe a linear-time algorithm for reducing the matrix In +A. Applications include computing the rank of A, nding a maximum matching in T , computing the rank and determinant of the associated neighborhood matrix, and computing the characteristic polynomial of A.

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ژورنال

عنوان ژورنال: The Electronic Journal of Linear Algebra

سال: 1996

ISSN: 1081-3810

DOI: 10.13001/1081-3810.1002