Elliptic Sombor index of chemical graphs

Document Type : Original paper


1 Universidad de Antioquia

2 University of Kragujevac


Let $G$ be a simple graph. The elliptic Sombor index of $G$ is defined as
$$    ESO(G) = \sum_{uv} \left(d_{u}+ d_{v} \right)\sqrt{d^{2}_{u}+d^{2}_{v}},$$ 
where $d_{u}$ denotes the degree of the vertex $u$, and the sum runs over the set of edges of $G$. In this paper we solve the extremal value problem of $ESO$ over the set of (connected) chemical graphs and over the set of chemical trees, with equal number of vertices.


Main Subjects

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