• RELATION BETWEEN TOTAL DOMINATION NUMBER, ENERGY OF A GRAPH AND RANK

MANJULA C. GUDGERI*, SHAILAJA S. SHIRKOL, VARSHA, PALLAVI I. KALMATH

Abstract


Domination theory and energy of a graph are the fastest growing areas within graph theory. The energy of a graph is defined as the sum of the absolute values of all eigen values of its adjacency matrix of a graph. In this paper we present some sharp lower bounds which relate total domination number of a graph G, energy of G and rank of the incident matrix of some class of graphs.


Keywords


Incidence matrix, total domination number, Domination number, Energy of graph and Rank of incidence matrix.

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