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An Explicit Formula for the Eigenvectors of Acyclic Matrices and Weighted Trees

Published 8 Sep 2016 in math.CO | (1609.02399v1)

Abstract: Let AA be an acyclic symmetric matrix of order nn. There is a weighted forest FF whose adjacency matrix is AA. In this paper, using some results on matching polynomials, we provide an explicit formula for eigenvectors of AA.

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