Author

Hafiz Muhammad Afzal Siddiqui

Department of Mathematics, Lahore Campus, COMSATS University Islamabad, Lahore, Punjab, 54000, Pakistan

ORCID 0000-0003-1794-6460

Published papers: 2
Citations: 0
Views: 614
Downloads: 230

Publications

2 papers

Open Access Research Article·pp. 279–312·Vol. 29, Issue 2Feb 2026

Investigating topological spaces arising from commutative rings via associated zero divisor graphs : A holistic approach

Nasir Ali, Maysoon Qousini, Muhammad Imran Qureshi, Hafiz Muhammad Afzal Siddiqui

Published Online: 28 Apr 2025DOI: 10.47974/JIM-2161

In this paper: This research investigates the construction of topological spaces (TS) through zero divisor graphs (ZD-graphs) of finite commutative rings (FCR), denoted by Γ(R), having order at most 10. The vertices...

Abstract References Full Text PDF (1.3 MB)Views: 351Downloads: 107Citations: 0

Open Access Research Article·pp. 235–250·Vol. 47, Issue 1Jan 2026

Edge reflexive irregularity strength of mk -graph of path graph

Muhammad Amir Asif, Hafiz Muhammad Afzal Siddiqui, Muhammad Faisal Nadeem

Published Online: 03 Feb 2025DOI: 10.47974/JIOS-1586

In this paper: In graph theory we define the total labeling, such that the edge labels and vertex labels are positive integers and even integers respectively and for different edges we have distinct weights, whereas...

Abstract References Full Text PDF (1.2 MB)Views: 263Downloads: 123Citations: 0