Distance spectral radius of some k-partitioned transmission regular graphs

Publications

Distance spectral radius of some k-partitioned transmission regular graphs

Author : Dr Fouzul Atik

Year : 2016

Publisher : Springer Verlagservice@springer.de

Source Title : Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Document Type :

Abstract

The distance matrix of a simple graph G is D(G) = (di,j), where di,j is the distance between the ith and jth vertices of G. The distance spectral radius of G, written λ1(G), is the largest eigenvalue of D(G). We determine the distance spectral radius of the wheel graph Wn, a particular type of spider graphs, and the generalized Petersen graph P(n, k) for k ∈ {2, 3}.