Title of article
Normalized Laplacian spectrum of two new types of join graphs
Author/Authors
Hakimi-Nezhaad, M. Department of Mathematics - Faculty of Science - Shahid Rajaee Teacher Training University, Tehran , Ghorbani, M. Department of Mathematics - Faculty of Science - Shahid Rajaee Teacher Training University, Tehran
Pages
9
From page
1
To page
9
Abstract
Let G be a graph without an isolated vertex, the normalized Laplacian matrix
~ L(G) is dened as ~ L(G) = D1
2 L(G)D12
, where D is a diagonal matrix whose entries are
degree of vertices of G. The eigenvalues of ~ L(G) are called as the normalized Laplacian
eigenvalues of G. In this paper, we obtain the normalized Laplacian spectrum of two new
types of join graphs. In continuing, we determine the integrality of normalized Laplacian
eigenvalues of graphs. Finally, the normalized Laplacian energy and degree Kirchhoindex
of these new graph products are derived
Keywords
Join of graphs , normalized Laplacian eigenvalue
Journal title
Astroparticle Physics
Serial Year
2017
Record number
2441842
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