Normalized Laplacian spectrum of some subdivision-joins and R-joins of two regular graphs

In this paper we determine the full normalized Laplacian spectrum of the subdivision-vertex join, subdivision-edge join, R-vertex join, and R-edge join of two regular graphs in terms of the normalized Laplacian eigenvalues of the graphs. Moreover, applying these results we find non-regular normalize...

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Bibliographic Details
Main Authors: Arpita Das, Pratima Panigrahi
Format: Article
Language:English
Published: Taylor & Francis Group 2018-12-01
Series:AKCE International Journal of Graphs and Combinatorics
Online Access:http://www.sciencedirect.com/science/article/pii/S0972860016300822