On the Elliptic Sombor and Euler Sombor indices of Corona product of certain graphs (2406.15861v1)

Abstract: Elliptic Sombor and Euler Sombor indices are recently defined topological indices using Sombor index. Elliptic sombor index is defined as $ESO(G)=\sum_{uv\in E(G)}(d_u+ d_v)\sqrt{d^2_u+ d^2_v}$ and Euler Sombor index is defined as $EU(G)= \sum_{uv\in E(G)}\sqrt{{d_{u}^2+d_{v}^2}+d_ud_v}$, where $d_u$ and $d_v$ are degrees of vertices $u$ and $v$ in graph $G$. In this article, we compute the elliptic Sombor and Euler Sombor indices of some resultant graphs. Using the operations join and Corona product on standard graphs like path, cycle and complete graphs.