@Article{JNMA-7-1446, author = {Sarveshkumar , B.Chaluvaraju , B. and Kumar , M. C. Mahesh}, title = {Some Bounds for the Steiner-Harary Index of a Graph}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {4}, pages = {1446--1460}, abstract = {
The Steiner distance for the set $S ⊆ V (G)$ would simply be the number of edges in the minimal subtree connecting them and is denoted as $d_G(S).$ The Steiner-Harary index is $SH_k(G),$ defined as the sum of the reciprocal of the Steiner distance for all subsets with $k$ vertices in $G.$ In this article, we calculate the exact value of $SH_k(G)$ for specific graphs and establish new best possible lower and upper bounds and characterization. Furthermore, we explore the relationship between $SH_k(G)$ and other graph indices based on Steiner distance.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.1446}, url = {http://global-sci.org/intro/article_detail/jnma/24245.html} }