Paper Title
Spectra of Partial Complementary Graphs

Abstract
H.B. Walikar in 2003 defined partial complement of graphs. For a finite undirected graph G=(V,E) and a subset S of the vertex set V of a graph G, the partial complement of a graph G with respect to S is the graph denoted by ¯(G_S )=(V,E_S) where E_S=E(≤S>)∪ E(<¯S>)∪{uv|u∈ S,uv∉ E\ }; denote the subgraph of G induced by the set S and ≤ S > denote its complement and ¯((S) ), the usual complement of a set S . In this paper we defined energy of Partial complement of graph and obtained spectra of some standard graphs. We also computed several bounds for partial complement of graphs. Keywords - Partial Complement Spectrum, Partial Complement Eigen Values, Partial Complement Energy of Graphs.