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On Laplacian Energy of Certain Mesh Derived Networks

by Bharati Rajan, Albert William, Sudeep Stephen, Cyriac Grigorious
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 55 - Number 11
Year of Publication: 2012
Authors: Bharati Rajan, Albert William, Sudeep Stephen, Cyriac Grigorious
10.5120/8798-3017

Bharati Rajan, Albert William, Sudeep Stephen, Cyriac Grigorious . On Laplacian Energy of Certain Mesh Derived Networks. International Journal of Computer Applications. 55, 11 ( October 2012), 9-13. DOI=10.5120/8798-3017

@article{ 10.5120/8798-3017,
author = { Bharati Rajan, Albert William, Sudeep Stephen, Cyriac Grigorious },
title = { On Laplacian Energy of Certain Mesh Derived Networks },
journal = { International Journal of Computer Applications },
issue_date = { October 2012 },
volume = { 55 },
number = { 11 },
month = { October },
year = { 2012 },
issn = { 0975-8887 },
pages = { 9-13 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume55/number11/8798-3017/ },
doi = { 10.5120/8798-3017 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:56:58.319106+05:30
%A Bharati Rajan
%A Albert William
%A Sudeep Stephen
%A Cyriac Grigorious
%T On Laplacian Energy of Certain Mesh Derived Networks
%J International Journal of Computer Applications
%@ 0975-8887
%V 55
%N 11
%P 9-13
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Eigenvalues of a graph are the eigenvalues of its adjacency matrix. The multiset of eigenvalues is called its spectrum. There are many properties which can be explained using the spectrum like energy, connectedness, vertex connectivity, chromatic number, perfect matching etc. Laplacian spectrum is the multiset of eigenvalues of Laplacian matrix. The Laplacian energy of a graph is the sum of the absolute values of its Laplacian eigenvalues. In this paper we calculate the Laplacian energy of some grid based networks

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Index Terms

Computer Science
Information Sciences

Keywords

Grid cylinder torus energy Laplacian energy

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