A short note on inverse sum indeg index of graphs

Selvaraj Balachandran; Suresh Elumalai; Toufik Mansour

doi:10.1142/s1793557120501521

A short note on inverse sum indeg index of graphs

Selvaraj Balachandran, Suresh Elumalai, Toufik Mansour

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

The inverse sum indeg index of a graph G is defined as ISI(G) =?uv E(G) d(u)d(v) d(u)+d(v), where d(u) is the degree of the vertex u. In a recent paper, Pattabiraman [Inverse sum indeg index of graphs, AKCE Int. J. Graphs Combinat. 15(2) (2018) 155-167] gave some lower and upper bounds on ISI index of all connected graphs in terms of Harmonic index, second Zagreb index and hyper Zagreb index. But some results were erroneous. In this note, we have corrected these results.

Original language	American English
Article number	2050152
Journal	Asian-European Journal of Mathematics
Volume	14
Issue number	1
DOIs	https://doi.org/10.1142/s1793557120501521
State	Published - Jan 2021

Keywords

Inverse sum indeg index
maximum degree
minimum degree

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1142/s1793557120501521

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abstract = "The inverse sum indeg index of a graph G is defined as ISI(G) =?uv E(G) d(u)d(v) d(u)+d(v), where d(u) is the degree of the vertex u. In a recent paper, Pattabiraman [Inverse sum indeg index of graphs, AKCE Int. J. Graphs Combinat. 15(2) (2018) 155-167] gave some lower and upper bounds on ISI index of all connected graphs in terms of Harmonic index, second Zagreb index and hyper Zagreb index. But some results were erroneous. In this note, we have corrected these results.",

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N2 - The inverse sum indeg index of a graph G is defined as ISI(G) =?uv E(G) d(u)d(v) d(u)+d(v), where d(u) is the degree of the vertex u. In a recent paper, Pattabiraman [Inverse sum indeg index of graphs, AKCE Int. J. Graphs Combinat. 15(2) (2018) 155-167] gave some lower and upper bounds on ISI index of all connected graphs in terms of Harmonic index, second Zagreb index and hyper Zagreb index. But some results were erroneous. In this note, we have corrected these results.

AB - The inverse sum indeg index of a graph G is defined as ISI(G) =?uv E(G) d(u)d(v) d(u)+d(v), where d(u) is the degree of the vertex u. In a recent paper, Pattabiraman [Inverse sum indeg index of graphs, AKCE Int. J. Graphs Combinat. 15(2) (2018) 155-167] gave some lower and upper bounds on ISI index of all connected graphs in terms of Harmonic index, second Zagreb index and hyper Zagreb index. But some results were erroneous. In this note, we have corrected these results.

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A short note on inverse sum indeg index of graphs

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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