Topological Polynomials and Indices of Line Graph of Wheel Graph

The First Zagreb polynomial of a graph G with vertex set <i>V(G)</i> and edge set <i>E(G)</i> is defined as <b>M<sub>1</sub>(G, x)</b> = . The First Zagreb index can be obtained from its polynomial as <b>M<sub>1</sub>(G)</b> = . In this paper, some topological polynomials and their indices are obtained for the line graph of the wheel graph.

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Publication Details

Journal
International Journal of Science and Research (IJSR)
Published
2024-12-03
DOI
https://doi.org/10.21275/mr241130160022
Primary Topic
Graph Theory and Algorithms
Type
article
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article

Topological Polynomials and Indices of Line Graph of Wheel Graph

N K Raut
2 links
International Journal of Science and Research (IJSR)
Graph Theory and Algorithms
article

Topological Polynomials and Indices of Line Graph of Wheel Graph

N K Raut
article en

Abstract

The First Zagreb polynomial of a graph G with vertex set <i>V(G)</i> and edge set <i>E(G)</i> is defined as <b>M<sub>1</sub>(G, x)</b> = . The First Zagreb index can be obtained from its polynomial as <b>M<sub>1</sub>(G)</b> = . In this paper, some topological polynomials and their indices are obtained for the line graph of the wheel graph.

International Journal of Science and Research (IJSR)Vol. 13(12)
Openalex Percentile: Top 78%
Graph Theory and Algorithms
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