| Issue |
RAIRO-Oper. Res.
Volume 59, Number 4, July-August 2025
|
|
|---|---|---|
| Page(s) | 2201 - 2212 | |
| DOI | https://doi.org/10.1051/ro/2025086 | |
| Published online | 14 August 2025 | |
Results on the elliptic Sombor index
Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran
* Corresponding author: f.movahedi@gu.ac.ir
Received:
7
May
2024
Accepted:
20
June
2025
The newly introduced elliptic Sombor index of a graph G is defined as follows
ESO(G) = ∑uvϵE (d(u) + d(v))√d(u)2 + d(v)2
in which E and d(u) are the edge set of G and the degree of the vertex u in G, respectively. In this paper, we compute the elliptic Sombor index for certain graphs. Furthermore, we obtain new results and bounds for the elliptic Sombor index in a graph.
Mathematics Subject Classification: 05C40 / 05C90
Key words: Elliptic Sombor index / degree / topological index / Sombor index
© The authors. Published by EDP Sciences, ROADEF, SMAI 2025
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