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Open access Aug 2026

Bounds for the Hyperbolic Sombor Index in Terms of the Variable Euler–Sombor Index and Relations to Other Degree-Based Invariants

The Hyperbolic Sombor index HSO(G) of a graph G=(V(G),E(G)) is proposed as a new vertex-degree-based topological index. In this paper, we investigate the mathematical properties of this novel vertex-degree-based topological index for general graphs. We first establish tight upper and lower bounds on HSO(G) in terms of...

Wei-Peng Zhang, Saihua Liu, Rui Song · 0 citations

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