On the spectra of reduced distance matrix of the generalized Bethe trees

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Abstract:

Let G be a simple connected graph and {v_1,v_2,..., v_k} be the set of pendent (vertices of degree one) vertices of G. The reduced distance matrix of G is a square matrix whose (i,j)-entry is the topological distance between v_i and v_j of G. In this paper, we compute the spectrum of the reduced distance matrix of the generalized Bethe trees.

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Journal title

volume 8  issue 3

pages  291- 298

publication date 2017-09-01

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