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Representing a set of vertices in a graph means of a matrix was introduced by E. Sampath Kumar. Let G(V,E) be a graph and S ⊆ V be a set of vertices. We can represent the set S by means of a matrix as follows, in the adjacency matrix A(G) of G replace the aii element by 1 if and only if, vi ∈ S. In this paper we study the special case of set S being dominating set and corresponding domination energy of some class of graphs. [ABSTRACT FROM AUTHOR]

Representing a subset of vertices in a graph by means of a matrix was introduced by E. Sampath Kumar. Let G(V, E) be a graph and S ⊆ V be a set of vertices. We can represent the set S by means of a matrix as follows, in the adjacency matrix A(G) of G replace the aii element by 1 if and only if, vi ∊ S. In this paper we study the set S being dominating set and corresponding domination energy of some class of graphs. [ABSTRACT FROM AUTHOR]

Representation of a set of vertices in a graph by means of a matrix was intro- duced by Sampath Kumar. Let G(V,E) be a graph and S ⊆ V be a set of vertices, we can represent the set S by means of a matrix as follows, in the adjacency matrix A(G) of G replace the aii element by 1 if and only if vi ϵ S. In this paper we define set energy and find its properties and also study the special case of set S being a dominating set and corresponding domination energy of some special class of graphs. [ABSTRACT FROM AUTHOR]

RC-graphs are special type of graphs. This paper deals with the Eigen values of adjacency matrices and other related matrices of RC-graphs. Many interesting results on eigen values apart from eigen values of general graphs are obtained for RC-graphs. Several directions are initiated towards possible future study. [ABSTRACT FROM AUTHOR]