A Study on Zagreb Indices of Vertex-Switching for Special Graph Classes

Many graph theorists have studied graph operations due to their applications and the advantages with heavy calculations. In a recent paper, the vertex-switching operation is analyzed, and some vertex-switched graphs are determined for some graph classes. This paper calculates the first Zagreb index and the second Zagreb index of vertex-switched star, complete bipartite, and tadpole graphs. It finally discusses the need for further research.

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Publication Details

Journal
Journal of New Theory
Published
2024-09-30
DOI
https://doi.org/10.53570/jnt.1522803
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
0.00
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article

A Study on Zagreb Indices of Vertex-Switching for Special Graph Classes

Hacer Özden Ayna
Journal of New Theory
Graph theory and applications
article

A Study on Zagreb Indices of Vertex-Switching for Special Graph Classes

Hacer Özden Ayna
article en

Abstract

Many graph theorists have studied graph operations due to their applications and the advantages with heavy calculations. In a recent paper, the vertex-switching operation is analyzed, and some vertex-switched graphs are determined for some graph classes. This paper calculates the first Zagreb index and the second Zagreb index of vertex-switched star, complete bipartite, and tadpole graphs. It finally discusses the need for further research.

Journal of New Theory(48)
Bursa Uludağ Üni̇versi̇tesi̇ (TR)
Openalex Percentile: Top 73%
Graph theory and applications
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A Study on Zagreb Indices of Vertex-Switching for Special Graph Classes — Hacer Özden Ayna · Journal of New Theory (2024) | TGRS Research Map | TGRS