On the Normalized Laplacian Spectrum of Some Graphs


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Authors: R. P. VARGHESE AND D. SUSHA

DOI: 10.46793/KgJMat2003.431V

Abstract:

In this paper we determine the normalized Laplacian spectrum of duplication vertex join of two graphs, duplication graph, splitting graph and double graph of a regular graph. Here we investigate some graph invariants like the normalized Laplacian energy, Kemeny’s constant and number of spanning tree of these graphs.



Keywords:

Normalized Laplacian spectrum, normalized Laplacian energy, Kemeny’s constant, spanning tree.



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