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.