Some New Status Neighborhood Indices of
Graphs

V.R. Kulli

doi:https://doi.org/10.14445/22315373/IJMTT-V66I9P517

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 9 | Year 2020 | Article Id. IJMTT-V66I9P517 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I9P517

Some New Status Neighborhood Indices of Graphs

V.R. Kulli

Abstract

The status of a vertex u in a connected graph G is the sum of the distances between u and all other vertices in a graph G. In this study, we define the atom bond connectivity (ABC) status neighborhood index, geometric-arithmetic (GA) status neighborhood index, arithmetic-geometric (AG) status neighborhood index, harmonic status neighborhood index, symmetric division status neighborhood index, inverse sum indeg status neighborhood index of a graph and compute exact formulas for some standard graphs, friendship graphs.

Keywords

distance in a graph, status neighborhood, ABC, GA, AG status neighborhood indices, graphs.

References

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Citation :

V.R. Kulli, "Some New Status Neighborhood Indices of Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 9, pp. 139-153, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I9P517