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