A. Albalahi

activity

20222026

most citedOn the Maximum Atom-Bond Sum-Connectivity Index of Graphs

17 citations · 26 across the 8 of their papers we have counts for

collaborators

8 papers

math.CO2026

Corrigendum to "On the Maximum Symmetric Division Deg Index of $k$ -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 $G$ with edge set $E$ , let $d (w)$ denote the degree of a vertex $w$ in $G$ . The hyperbolic Sombor index of $G$ 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…

math.CO2023

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…

math.CO2023

Harmonic-Arithmetic Index of (Molecular) Trees

Abeer M. Albalahi, Akbar Ali, Abdulaziz M. Alanazi +2

Let $G$ be a graph. Denote by $d_{x}$ , $E (G)$ , and $D (G)$ the degree of a vertex $x$ in $G$ , the set of edges of $G$ , and the degree set of $G$ , respectively. This paper proposes to…

math.GM2023★ 17 cited

On the Maximum Atom-Bond Sum-Connectivity Index of Graphs

Tariq Alraqad, Hisham Saber, Akbar Ali +1

The atom-bond sum-connectivity (ABS) index of a graph $G$ with edges $e_{1}, \dots, e_{m}$ is the sum of the numbers $1 - 2 (d_{e_{i}} + 2)^{- 1}$ over $1 \leq i \leq m$ , where $d_{e_{i}}$ is…

math.CO2022★ 4 cited

On the Maximum Sigma Index of k-Cyclic Graphs

Akbar Ali, Abeer M. Albalahi, Abdulaziz M. Alanazi +2

Let $G$ be a graph with edge set $E (G)$ . Denote by $d_{w}$ the degree of a vertex $w$ of $G$ . The sigma index of $G$ is defined as $\sum_{uv \in E (G)} (d_{u} - d_{v})^{2}$ . A connected graph o…

math.CO2022★ 5 cited

On the Vertex-Degree-Function Indices of Connected (n,m)-Graphs of Maximum Degree at Most Four

Abeer M. Albalahi, Igor Z. Milovanovic, Zahid Raza +2

Consider a graph $G$ and a real-valued function $f$ defined on the degree set of $G$ . The sum of the outputs $f (d_{v})$ over all vertices $v \in V (G)$ of $G$ is usually known as the v…