University of Kashan Iranian Journal of Mathematical Chemistry 2228-6489 8 3 2017 09 01 On the Spectra of Reduced Distance Matrix of the Generalized Bethe Trees 291 298 48533 10.22052/ijmc.2017.30051.1116 EN A. Heydari Arak University of Technology Journal Article 2015 06 08 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. Reduced distance matrix Generalized Bethe Tree spectrum https://ijmc.kashanu.ac.ir/article_48533_625a9813ec4456891441f9eb3d1369f5.pdf