Geodesic
Bounds on Inverse Sum Indeg Index of Subdivision Graphs
Serdica Journal of Computing, Tome 12 (2018) no. 4, pp. 281-298.

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The inverse sum indeg index $ISI(G)$ of a simple graph $G$ is defined as the sum of the terms $frac{d_G(u)d_G(v)}{d_G(u)+d_G(v)}$ over all edges $uv$ of $G$, where $d_G(u)$ denotes the degree of a vertex $u$ of $G$. In this paper, we present several upper and lower bounds on the inverse sum indeg index of subdivision graphs and $t$-subdivision graphs. In addition, we obtain the upper bounds for inverse sum indeg index of $S$-sum, $S_t$-sum, $S$-product, $S_t$-product of graphs. ACM Computing Classification System (1998): G.2.2, G.2.3.
Keywords: Degree, Subdivision Graph, Inverse Sum Indeg Index, Graph Operations 
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     author = {Pattabiraman, Kannan},
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Pattabiraman, Kannan. Bounds on Inverse Sum Indeg Index of Subdivision Graphs. Serdica Journal of Computing, Tome 12 (2018) no. 4, pp. 281-298. http://geodesic.mathdoc.fr/item/SJC_2018_12_4_a4/