3 papers
math.CO2026
Corrigendum to "On the Maximum Symmetric Division Deg Index of -Cyclic Graphs [J. Math. 2022, (2022) \#7783128]"
Abeer M. Albalahi, Akbar Ali
The proof of Proposition 1 in the paper [J. Math. 2022, (2022) #7783128] contains a gap, but its statement is correct. Here, we fix this gap.
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…