Results on the elliptic Sombor index

‎The newly introduced elliptic Sombor index of a graph $G$‎‏ ‎is defined as follows‎‎[[EQUATION]]‎ ‎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.

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Publication Details

Journal
RAIRO. Operations research
Published
2025-06-24
DOI
https://doi.org/10.1051/ro/2025086
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
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article

Results on the elliptic Sombor index

Fateme Movahedi
RAIRO. Operations research
Geometric Analysis and Curvature Flows
article

Results on the elliptic Sombor index

Fateme Movahedi
article en

Abstract

‎The newly introduced elliptic Sombor index of a graph $G$‎‏ ‎is defined as follows‎‎[[EQUATION]]‎ ‎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.

RAIRO. Operations research
Golestan University (IR)
Openalex Percentile: Top 78%
Geometric Analysis and Curvature Flows
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Results on the elliptic Sombor index — Fateme Movahedi · RAIRO. Operations research (2025) | TGRS Research Map | TGRS