On the bounds of the forgotten topological index

Suresh Elumalai; Toufik Mansour; Mohammad Ali Rostami

doi:https://doi.org/10.3906/mat-1610-127

On the bounds of the forgotten topological index

Suresh Elumalai, Toufik Mansour, Mohammad Ali Rostami

Department of Mathematics

University of Haifa

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

Abstract

The forgotten topological index is defined as the sum of cubes of the degrees of the vertices of the molecular graph G: In this paper, we obtain, analyze, and compare various lower bounds for the forgotten topological index involving the number of vertices, edges, and maximum and minimum vertex degree. Then we give Nordhaus-Gaddum- type inequalities for the forgotten topological index and coindex. Finally, we correct the number of extremal chemical trees on 15 vertices.

Original language	American English
Pages (from-to)	1687-1702
Number of pages	16
Journal	Turkish Journal of Mathematics
Volume	41
Issue number	6
DOIs	https://doi.org/10.3906/mat-1610-127
State	Published - 2017

Keywords

First Zagreb index
Forgotten topological index
Second Zagreb index

All Science Journal Classification (ASJC) codes

General Mathematics

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https://doi.org/10.3906/mat-1610-127

Cite this

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abstract = "The forgotten topological index is defined as the sum of cubes of the degrees of the vertices of the molecular graph G: In this paper, we obtain, analyze, and compare various lower bounds for the forgotten topological index involving the number of vertices, edges, and maximum and minimum vertex degree. Then we give Nordhaus-Gaddum- type inequalities for the forgotten topological index and coindex. Finally, we correct the number of extremal chemical trees on 15 vertices.",

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N2 - The forgotten topological index is defined as the sum of cubes of the degrees of the vertices of the molecular graph G: In this paper, we obtain, analyze, and compare various lower bounds for the forgotten topological index involving the number of vertices, edges, and maximum and minimum vertex degree. Then we give Nordhaus-Gaddum- type inequalities for the forgotten topological index and coindex. Finally, we correct the number of extremal chemical trees on 15 vertices.

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KW - First Zagreb index

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KW - Second Zagreb index

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JO - Turkish Journal of Mathematics

JF - Turkish Journal of Mathematics

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ER -

On the bounds of the forgotten topological index

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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