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

Year 2024, Issue: 48, 48 - 60, 30.09.2024

Hacer Özden Ayna

https://doi.org/10.53570/jnt.1522803

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.

Keywords

Vertex switching, vertex switched graph, star graph, complete bipartite graph, tadpole graph

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