[PDF][PDF] About adjacency matrix of semigraphs

CM Deshpande, YS Gaidhani - International Journal of Applied Physics …, 2012 - ijapm.org
International Journal of Applied Physics and Mathematics, 2012ijapm.org
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.
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.
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