A. Alanazi

collaborators

3 papers

math.CO2025

"Overpartitionized" Rogers--Ramanujan type identities

Abdulaziz Alanazi, Augustine O. Munagi, Andrew V. Sills

Many classical $q$ -series identities, such as the Rogers--Ramanujan identities, yield combinatorial interpretations in terms of integer partitions. Here we consider algebraically m…

math.CO2025

On a Conjecture Concerning the Complementary Second Zagreb Index

Hicham Saber, Tariq Alraqad, Akbar Ali +2

The complementary second Zagreb index of a graph $G$ is defined as $c M_{2} (G) = \sum_{uv \in E (G)} ∣ (d_{u} (G))^{2} - (d_{v} (G))^{2} ∣$ , where $d_{u} (G)$ denotes the degree of a vertex $u$ in $G$ and…

math.NT2024

Some Properties of Overpartitions into Nonmultiples of Two Integers

Abdulaziz M. Alanazi, Augustine O. Munagi, Manjil P. Saikia

We consider properties of overpartitions that are simultaneously {\ell}-regular and μ-regular, where {\ell} and μ are positive relatively prime integers. We prove a seven-way combi…