University of KashanIranian Journal of Mathematical Chemistry2228-64898320170901On the Spectra of Reduced Distance Matrix of the Generalized Bethe Trees2912984853310.22052/ijmc.2017.30051.1116ENA.HeydariArak University of TechnologyJournal Article20150608Let 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.https://ijmc.kashanu.ac.ir/article_48533_625a9813ec4456891441f9eb3d1369f5.pdf