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The Energy of Hesitancy Fuzzy Graph

Rajagopal Reddy N, Sharief Basha S

In this paper, the perception of the energy of the fuzzy graph is stretched to the energy of the Hesitancy Fuzzy Graph (HFG). We commit characterized the adjacency matrix of HFG and the energy of HFG is characterized regarding its adjacency matrix. The upper and lower boundaries are both derived for the hesitancy fuzzy graph’s energy.

Energy of a simple graph has been defined and many of its properties have been studied. In this paper, the concept of energy is extended to fuzzy graphs. Adjacency matrix of a fuzzy graph is defined and energy of a fuzzy graph is defined as the sum of absolute values of the eigenvalues of the adjacency matrix of the fuzzy graph.