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...

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Published in:Journal of New Theory
Main Author: Hacer Özden Ayna
Format: Article
Language:English
Published: Naim Çağman 2024-09-01
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/4099890
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author Hacer Özden Ayna
author_facet Hacer Özden Ayna
author_sort Hacer Özden Ayna
collection DOAJ
container_title Journal of New Theory
description 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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publisher Naim Çağman
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spelling doaj-art-bcbbf19a56de4af2aa7a3473cdc99adf2025-08-20T01:27:55ZengNaim ÇağmanJournal of New Theory2149-14022024-09-0148486010.53570/jnt.15228032425A Study on Zagreb Indices of Vertex-Switching for Special Graph ClassesHacer Özden Ayna0https://orcid.org/0000-0003-1556-3511Bursa Uludağ ÜniversitesiMany 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.https://dergipark.org.tr/en/download/article-file/4099890vertex switchingvertex switched graphstar graphcomplete bipartite graphtadpole graph
spellingShingle Hacer Özden Ayna
A Study on Zagreb Indices of Vertex-Switching for Special Graph Classes
vertex switching
vertex switched graph
star graph
complete bipartite graph
tadpole graph
title A Study on Zagreb Indices of Vertex-Switching for Special Graph Classes
title_full A Study on Zagreb Indices of Vertex-Switching for Special Graph Classes
title_fullStr A Study on Zagreb Indices of Vertex-Switching for Special Graph Classes
title_full_unstemmed A Study on Zagreb Indices of Vertex-Switching for Special Graph Classes
title_short A Study on Zagreb Indices of Vertex-Switching for Special Graph Classes
title_sort study on zagreb indices of vertex switching for special graph classes
topic vertex switching
vertex switched graph
star graph
complete bipartite graph
tadpole graph
url https://dergipark.org.tr/en/download/article-file/4099890
work_keys_str_mv AT hacerozdenayna astudyonzagrebindicesofvertexswitchingforspecialgraphclasses
AT hacerozdenayna studyonzagrebindicesofvertexswitchingforspecialgraphclasses