Department of Mathematics

Research Group 5: Cryptography, Soft Algebraic and Graph Structures and Combinatorial Algebra

Research Group Title Cryptography, Soft Algebraic and Graph Structures and Combinatorial Algebra
Area of Research Graph Theory, Algebraic Graph theory, Chemical Graph Theory, Encryption, Data Security
Theme of Research / Goals Graph theory, its applications and Security of image data
Faculty Members Dr. Muhammad Javaid
Dr. Sohail Zafar
Dr. Zohaib Zahid
Dr. Agha Kashif Arshad Khan
Collaborating UMT Departments Mathematics
Collaborating National Institutes Prof. Dr. Akhlaq Ahmad Bhatti (FAST-NUCES, Lahore)
Dr. Uzma Ahmad (University of the Punjab, Lahore)
Dr. Zia Bashir (Quaid-i-Azam University Islamabad)
Collaborating International Institutes Prof. Dr. Jia-Bao Liu, School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, P.R. China
Dr. Yilun Shang, Department of Computer and Information Sciences, Northumbria University, Newcastle NE1 8ST, UK
Names of Active Senior Students Aroba Fatima, Faiz Farid, Muhammad Akraam
Short Description of the Research Theme Everybody wants to maintain solitariness to some extent or entirely in his dealings with other people during different modes of communication. To retain privacy, researchers materialized distinct image encryption algorithms. A distinctive approach can be used to generate a key stream using a combination of multi-dimensional chaotic maps. Security and statistical analysis are used to verify the encryption methods. An ample key space is important for the security of data.
SDGs Covered SDG4, SDG9, SDG11
List of 5 relevant publications:
  1. Albalahi AM, Du Z, Ali A, Javaid M, Hamza AE. On the sum of a topological index and its reciprocal index for unicyclic graphs. MATCH Commun Math Comput Chem. 2025;93(3):839–852. doi:10.46793/match.93-3.839A
  2. Zafar S, Shahzadi S, Farhat Jabeen F, Zafar T, Zafar A, Sajjad A. Unveiling intraspecific variations in Notopterus notopterus and Chitala chitala through landmark-based morphometry and mitochondrial DNA barcoding. Int J Biol Rep. 2025;3(1):83–108. doi:10.22034/INJBIR.3.1.83.
  3. Faheem M, Ahmad M, Zahid Z, Almutire NSE, Khalifa HA El-Wahed, Radwan T. Investigating the metric and fault-tolerant dimensions in para-line network topologies. AKCE Int J Graphs Combin. 2025;??:1–12. doi:10.1080/09728600.2025.2487427.
  4. Nadeem A, Azhar K, Kashif A, Zafar S. Fault tolerant metric resolvability of convex polytopes. Hacet J Math Stat. 2025;54(6):2256–2268. doi:10.15672/hujms.1336986

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