4 papers
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)\})^…
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…
On the Difference of Atom-Bond Sum-Connectivity and Atom-Bond-Connectivity Indices
Akbar Ali, Ivan Gutman, Izudin Redzepovic +3
The atom-bond-connectivity (ABC) index is one of the well-investigated degree-based topological indices. The atom-bond sum-connectivity (ABS) index is a modified version of the ABC…
Harmonic-Arithmetic Index of (Molecular) Trees
Abeer M. Albalahi, Akbar Ali, Abdulaziz M. Alanazi +2
Let be a graph. Denote by , , and the degree of a vertex in , the set of edges of , and the degree set of , respectively. This paper proposes to…