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  3. 2022 - Volume 14 [Issue 1]
  4. Original Research Article

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

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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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