Volume 2 Number 4 (Jul. 2012)
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IJAPM 2012 Vol.2(4): 250-252 ISSN:2010-362X
DOI: 10.7763/IJAPM.2012.V2.103

About Adjacency Matrix of Semigraphs

C. M. Deshpande and Y. S. Gaidhani

Abstract—The aim of the paper is to define the adjacency matrix of a Semigraph. We expect to see many applications of this in the future. Incidence matrix of a semigraph has been defined by the authors[4].Here we not only define Adjacency Matrix associated with a semigraph, but also state necessary and sufficient conditions for a matrix to be semigraphical. At the end of the paper spectrum of a semigraph is defined and some of its spectral properties are studied.

Index Terms—Adjacency matrix of a semigraph, spectrum of a semigraph.

C. M. Deshpande is with the College of Engineering, Pune (e-mail: hod.maths@coep.ac.in).
Y. S. Gaidhani is with the M. E. S. Abasaheb Garware College, Pune. (e-mail: yogeshrigaidhani@gmail.com).

 

Cite: C. M. Deshpande and Y. S. Gaidhani, "About Adjacency Matrix of Semigraphs," International Journal of Applied Physics and Mathematics  vol. 2, no. 4, pp. 250-252, 2012.

General Information

ISSN: 2010-362X
Frequency: Bimonthly (2011-2014); Quarterly (Since 2015)
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca
Abstracting/ Indexing: Index Copernicus, EI (INSPEC, IET), Chemical Abstracts Services (CAS), Electronic Journals Library, Nanowerk Database, Google Scholar and ProQuest
E-mail: ijapm@iap.org
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