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math.CO2025
On the Hyperbolic Sombor Index and Its Counterpart
Abeer M. Albalahi, Shibsankar Das, Akbar Ali +2
For a graph with edge set , let denote the degree of a vertex in . The hyperbolic Sombor index of is defined by $$HSO(G)=\sum_{uv\in E}(\min\{d(u),d(v)\})^…
math.CO2025
Bounds and Optimal Results for the Total Irregularity Measure
Akbar Ali, Darko Dimitrov, Tamás Réti +2
A (molecular) graph in which all vertices have the same degree is known as a regular graph. According to Gutman, Hansen, and Mélot [J. Chem. Inf. Model. 45 (2005) 222-230], it is o…