arXiv · 2502.08304
On Euler-Sombor Energy of Graphs
Abstract
In 2024, Gutman et al. \cite{I.Gutman 3} defined a new molecular descriptor called as The Euler-Sombor $(ES)$ index of graph. By using this index we define the Euler-Sombor $(ES)$ matrix of a graph $G$ whoes $(i,j)^{th}$ entry is $\sqrt{{d_i}^2+{d_j}^2+d_i.d_j}$ if vertex $v_i$ is adjacent to vertex $v_j$, otherwise $0$. The $ES$ eigenvalues of the graph $G$ are the eigenvalues of its $ES$ matrix ,$ES(G)$. In this paper we discus $ES$ eigenvalues $ν_i$ and energy of some classes of graphs.
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Sopan Bansode, Sharad Barde, Ganesh Mundhe. 2025-02-12. On Euler-Sombor Energy of Graphs. https://arxiv.org/abs/2502.08304
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