The elliptic Sombor index of special graphs

Azami, Shahroud; Izanloo, Hassan

doi:10.22061/jdma.2025.12521.1164

The elliptic Sombor index of special graphs

Document Type : Full Length Article

Authors

Shahroud Azami ¹
Hassan Izanloo ²

¹ Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran

² School of Mathematics, University of Leeds, Woodhouse, Leeds, LS2 9JT, UK

10.22061/jdma.2025.12521.1164

Abstract

The elliptic Sombor index serves as a topological index that is based on vertex degrees. Our research focuses on the elliptic Sombor index within various graph types, including $m^{k}$-graphs, Jahangir graphs, Barbell graphs, and Friendship graphs. Additionally, we derive this index for the subdivided $m^{k}$-graphs. Furthermore, we present several u bounds for some of these indices.

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Main Subjects