
THE NIRMALA’S MINIMUM DOMINATING ENERGY OF A GRAPH
Journal of Applied Physical Science International,
Page 14-21
DOI:
10.56557/japsi/2022/v14i17759
Abstract
Nirmala index is one of the recently discovered topological index. It is originally a vertex based topological invariant and is defined as the sum of \(\sqrt{d(r)+d(s)}\) terms on all edges of the graph, where \(d(r)\) is the degree of the vertex \(r\) in \(G\) . In this paper we put forward a new energy called as the nirmala minimum dominating energy of a graph \(N E_{D}(G)\) . Also, we compute \(N E_{D}(G)\) for cocktail party graph, star graph, complete bipartite graph and complete graph. The estimation of upper and lower bounds for \(N E_{D}(G)\) are found.
Keywords:
- Nirmala energy
- nirmala’s minimum dominating energy
- cocktail party graph
- star graph
- complete bipartite graph and complete graph
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