THE NIRMALA’S MINIMUM DOMINATING ENERGY OF A GRAPH

B. K. DIVYASHREE; R. JAGADEESH; . SIDDABASAPPA

doi:10.56557/japsi/2022/v14i17759

THE NIRMALA’S MINIMUM DOMINATING ENERGY OF A GRAPH

B. K. DIVYASHREE

R. JAGADEESH

. SIDDABASAPPA

Journal of Applied Physical Science International, Page 14-21
DOI: 10.56557/japsi/2022/v14i17759
Published: 9 July 2022

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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How to Cite

DIVYASHREE, B. K., JAGADEESH, R., & SIDDABASAPPA, . (2022). THE NIRMALA’S MINIMUM DOMINATING ENERGY OF A GRAPH. Journal of Applied Physical Science International, 14(1), 14-21. https://doi.org/10.56557/japsi/2022/v14i17759

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