DocumentCode
2303624
Title
Energy of grid based networks using MATLAB
Author
Rajan, Bharati ; Rajasingh, Indra ; Grigorious, Cyriac ; Stephen, Sudeep
Author_Institution
Dept. of Math., Loyola Coll., Chennai, India
fYear
2012
fDate
16-18 May 2012
Firstpage
404
Lastpage
408
Abstract
Eigenvalues of a graph are the eigenvalues of its adjacency matrix. The multiset of eigenvalues is called the spectrum. There are many properties which can be explained using the spectrum like energy, connectedness, vertex connectivity, chromatic number, and perfect matching etc. So it is very useful to calculate the spectrum of any graph. The energy of a graph is the sum of the absolute values of its eigenvalues. In this paper we calculate the energy of some grid based networks.
Keywords
eigenvalues and eigenfunctions; graph theory; mathematics computing; matrix algebra; network theory (graphs); MATLAB; adjacency matrix; chromatic number; eigenvalues; graph energy; grid based network energy; perfect matching; spectrum calculation; vertex connectivity; Application software; Eigenvalues and eigenfunctions; Geometry; Graph theory; Linear algebra; Optimization; Physics; cylinder; energy; grid; torus;
fLanguage
English
Publisher
ieee
Conference_Titel
Digital Information and Communication Technology and it's Applications (DICTAP), 2012 Second International Conference on
Conference_Location
Bangkok
Print_ISBN
978-1-4673-0733-8
Type
conf
DOI
10.1109/DICTAP.2012.6215426
Filename
6215426
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