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Iranian Journal of Mathematical Chemistry
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Heydari, A. (2017). On the spectra of reduced distance matrix of the generalized Bethe trees. Iranian Journal of Mathematical Chemistry, 8(3), 291-298. doi: 10.22052/ijmc.2017.30051.1116
A. Heydari. "On the spectra of reduced distance matrix of the generalized Bethe trees". Iranian Journal of Mathematical Chemistry, 8, 3, 2017, 291-298. doi: 10.22052/ijmc.2017.30051.1116
Heydari, A. (2017). 'On the spectra of reduced distance matrix of the generalized Bethe trees', Iranian Journal of Mathematical Chemistry, 8(3), pp. 291-298. doi: 10.22052/ijmc.2017.30051.1116
Heydari, A. On the spectra of reduced distance matrix of the generalized Bethe trees. Iranian Journal of Mathematical Chemistry, 2017; 8(3): 291-298. doi: 10.22052/ijmc.2017.30051.1116

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

Article 5, Volume 8, Issue 3, Summer and Autumn 2017, Page 291-298  XML PDF (1178 K)
Document Type: Research Paper
DOI: 10.22052/ijmc.2017.30051.1116
Author
A. Heydari
Arak University of Technology
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.
Keywords
Reduced distance matrix; Generalized Bethe Tree; spectrum
Main Subjects
Spectral Graph Theory
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