Research Supervision Capacity
About Me
I am Dr. Muhammad Awais Yousaf, an Associate Professor of Mathematics in the Department of Mathematics at The Islamia University of Bahawalpur (IUB), Pakistan. I received my PhD in Mathematics from Quaid-i-Azam University, Islamabad, where my research focused on algebraic and combinatorial structures, particularly finite homomorphic images of groups.
My research interests lie at the intersection of combinatorial group theory and modern cryptography. I actively work on algebraic cryptography, group-theoretic constructions of substitution boxes (S-boxes), digital signatures, image encryption, and secure communication protocols. A significant part of my work investigates how finite groups, group actions, coset diagrams, and algebraic structures can be employed to design cryptographically strong and computationally efficient security primitives.
I have published extensively in leading international journals, including IEEE Access, Scientific Reports, Symmetry, Multimedia Tools and Applications, Wireless Personal Communications, and others. My recent research also extends to post-quantum cryptography, chaotic encryption schemes, and medical image security.
In addition to academic research, I am interested in the dissemination of technical knowledge beyond formal publications, particularly where mathematical modeling, optimization, and algorithmic thinking intersect with real-world systems. As part of this broader educational outreach, I maintain an independent resource (https://growwithhydroponics.com) that focuses on structured, data-informed approaches to controlled-environment and sustainability-related technologies.
Alongside research, I am actively involved in teaching undergraduate and postgraduate courses such as Algebra, Linear Algebra, Calculus, Algebraic Cryptography, and Group Algorithm Programming. I have supervised multiple PhD and MPhil theses in mathematics, cryptography, and applied algebra.
I have also served as a Visiting Researcher at the University of Birmingham, UK, collaborating on problems in combinatorial group theory. My goal is to contribute to the development of secure, mathematically rigorous cryptographic systems and to mentor students in advanced mathematical research and applications.
Research Interest Keywords
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Research Publication
1. Zoya Abdullah, Awais Yousaf, Hüseyin Budak. 2025. “Sharp and general bounds for Hermite–Hadamard type inequalities via Jensen’s inequality in q-calculus.” Filomat 39. 10.2298/FIL2521195A
2. Najla Althuniyan, Ahmed Alamer, Awais Yousaf, Muhammad Waseem, Sarah Aljohani. 2025. “Heisenberg Group-Based Digital Signatures for Secure Communications.” IEEE Access 13. 10.1109/ACCESS.2025.3585273
3. M. Ameer, Walid Emam, Awais Yousaf, Muhammad Younis. 2025. “Selection of Optimized Diagnostic Approach for Cardiovascular Diseases Leveraging Dynamic Linguistic Intuitionistic Fuzzy Decision-Making Technique.” Engineering Reports 7. 10.1002/eng2.70038
4. Muhammad Nadeem, Awais Yousaf, Seemab Sheik. 2024. “A Novel Approach to Investigate Sadhana and PI Indices.” Polycyclic Aromatic Compounds 44. 10.1080/10406638.2023.2259566
5. Zoya Abdullah, Awais Yousaf, C. Promsakon, T. Sitthiwirattham. 2024. “On some new and general q-Hermite–Hadamard type inequalities for convex functions.” Miskolc Mathematical Notes 25. 10.18514/MMN.2024.4300
6. M. Wasim, Awais Yousaf, H. Alolaiyan, M. A. Akbar, A. Alburaikan, et al. 2024. “Optimizing decision-making with aggregation operators for generalized intuitionistic fuzzy sets and their applications in the tech industry.” Scientific Reports 14. 10.1038/s41598-024-57461-9
7. T. Alballa, A. Alamer, K. Nasir, Awais Yousaf, S. A. Alhabeeb, H. A. E. W. Khalifa. 2024. “A multiple attribute group decision making model based on 2-tuple linguistic Pythagorean fuzzy Dombi aggregation operators for optimal selection of potential global suppliers.” Heliyon 10. 10.1016/j.heliyon.2024.e34570
8. Souad Ahmad Baowidan, Ahmed Alamer, Mudassar Hassan, Awais Yousaf. 2024. “Group-Action-Based S-box Generation Technique for Enhanced Block Cipher Security and Robust Image Encryption Scheme.” Symmetry 16. 10.3390/sym16080954
9. Mohammad Mazyad Hazzazi, Souad Ahmad Baowidan, Awais Yousaf, Muhammad Adeel. 2024. “An Innovative Algorithm Based on Chaotic Maps Amalgamated with Bit-Level Permutations for Robust S-Box Construction and Its Application in Medical Image Privacy.” Symmetry 16. 10.3390/sym16081070
10. Ibtisam Masmali, Muhammad Nadeem, Awais Yousaf, Ali Akbar, Abdul Razaq, Asima Razzaque. 2023. “An effective technique for developing the graphical polynomials of certain molecular graphs.” Scientific Reports 13. 10.1038/s41598-023-31623-7
11. M. Aamir, Awais Yousaf, I. Masmali, A. Razaq. 2023. “Number of Distinct Fragments in Coset Diagrams for PSL(2,Z).” Journal of Mathematics 2023. 10.1155/2023/4562518
12. Abdul Razaq, Shumaila Akhter, Awais Yousaf, Umer Shuaib, Musheer Ahmad. 2022. “A group theoretic construction of highly nonlinear substitution box and its applications in image encryption.” Multimedia Tools and Applications 81. 10.1007/s11042-021-11635-z
13. H. Alolaiyan, M. Aamir, Awais Yousaf, A. Razaq. 2022. “Counting of Distinct Equivalence Classes of Circuits in PSL(2,Z)-Space.” Journal of Mathematics 2022. 10.1155/2022/4863429
14. Abdul Razaq, Musheer Ahmad, Awais Yousaf, Moatsum Alawida, Atta Ullah, Umer Shuaib. 2022. “A Group Theoretic Construction of Large Number of AES-Like Substitution-Boxes.” Wireless Personal Communications 122. 10.1007/s11277-021-08981-4
15. Awais Yousaf, Abdul Razaq, Hira Baig. 2022. “A lightweight image encryption algorithm based on patterns in Rubik’s revenge cube.” Multimedia Tools and Applications 81. 10.1007/s11042-022-11898-0
16. Hanan Alolaiyan, Abdul Razaq, Awais Yousaf, Rida Zahra. 2021. “A Comprehensive Overview on the Formation of Homomorphic Copies in Coset Graphs for the Modular Group.” Journal of Mathematics 2021. 10.1155/2021/3905425
17. H. Alolaiyan, Muhammad Kashif Maqbool, Awais Yousaf, A. Razaq. 2021. “On quasi-irresolute characterization of topological loops.” Science Progress 104. 10.1177/00368504211044562
18. Awais Yousaf and Muhammad Nadeem. 2021. “An Efficient Technique to Construct Certain Counting Polynomials and Related Topological Indices for 2D-Planar Graphs.” Polycyclic Aromatic Compounds / Informa UK Limited 1. https://doi.org/10.1080/10406638.2021.1892780
19. Abdul Razaq and Iqra and Musheer Ahmad and Muhammad Awais Yousaf and Sarfaraz Masood. 2021. “A novel finite rings based algebraic scheme of evolving secure S-boxes for images encryption.” Multimedia Tools and Applications / Springer Science and Business Media LLC. https://doi.org/10.1007/s11042-021-10587-8
20. Muhammad Aamir, Muhammad Awais Yousaf, Abdul Razaq. 2021. “Number of Distinct Homomorphic Images in Coset Diagrams.” Journal of Mathematics 2021. 10.1155/2021/6669459
21. Abdul Razaq and Atta Ullah and Hanan Alolaiyan and Awais Yousaf. 2020. “A Novel Group Theoretic and Graphical Approach for Designing Cryptographically Strong Nonlinear Components of Block Ciphers.” Wireless Personal Communications / Springer Science and Business Media LLC 116. https://doi.org/10.1007/s11277-020-07841-x
22. Musheer Ahmad and Eesa Al-Solami and Ahmed Mohammed Alghamdi and Muhammad Awais Yousaf. 2020. “ Bijective S-Boxes Method Using Improved Chaotic Map-Based Heuristic Search and Algebraic Group Structures.” IEEE Access 8. https://doi.org/10.1109/ACCESS.2020.3001868
23. Muhammad Nadeem, Awais Yousaf, Abdul Razaq. 2020. “On sequences of molecular descriptors related to some counting polynomials of a Benzenoid graph.” UTILITAS MATHEMATICA 114.
24. Muhammad Kashif Maqbool, Muhammad Awais Yousaf and Abdul Razaq. 2020. “On Generalization of Quasi s-topological IP-loops.” Punjab University Journal of Mathematics 52.
25. Muhammad Kashif Maqbool and Awais Yousaf and Muhammad Siddique Bosan and Saeid Jafari. 2020. “ A-paracompactness and Strongly A-screenability in Topological Groups.” European Journal of Pure and Applied Mathematics 13. https://doi.org/10.29020/nybg.ejpam.v13i2.3637
26. Awais Yousaf and Hanan Alolaiyan and Abdul Razaq and Muhammad Younis. 2020. “ Evolution of ambiguous numbers under the actions of a Bianchi group.” Journal of Taibah University for Science 14. https://doi.org/10.1080/16583655.2020.1760511
27. Abdul Razaq and Hanan Alolaiyan and Musheer Ahmad and Muhammad Awais Yousaf and Umer Shuaib and Waqar Aslam and Moatsum Alawida. 2020. “ A Novel Method for Generation of Strong Substitution-Boxes Based on Coset Graphs and Symmetric Groups.” IEEE Access 8. https://doi.org/10.1109/ACCESS.2020.2989676
28. Muhammad Awais Yousaf and Hanan Alolaiyan and Musheer Ahmad and Muhammad Dilbar and Abdul Razaq. 2020. “ Comparison of Pre and Post-Action of a Finite Abelian Group Over Certain Nonlinear Schemes.” IEEE Access 8. https://doi.org/10.1109/ACCESS.2020.2975880
29. Muhammad Kashif Maqbool, Awais Yousaf, Muhammad Dilbar, Muhammad Siddique Bosan, Muhammad Younis, Shafaqat Sadique. 2020. “A Paradigmatic approach to Quasi Topological Loops: Classification and Characterization.” Punjab University Journal of Mathematics 52.
30. Muhammad Kashif Maqbool and Muhammad Awais Yousaf. 2019. “On Separately Irresolute and Pre semi open Multiplication Mapping of Topological Spaces defined on Loops.” Punjab University Journal of Mathematics 51.
31. Qaiser Mushtaq and Abdul Razaq and Awais Yousaf. 2019. “On contraction of vertices of the circuits in coset diagrams for PSL(2,Z) .” Proceedings - Mathematical Sciences 129. https://doi.org/10.1007/s12044-018-0450-z
32. Abdul Razaq, Qaiser Mushtaq and Awais Yousaf. 2019. “Polynomials associated with the fragments of coset diagrams.” Journal of the Ramanujan Mathematical Society 34.
33. Hanan Alolaiyan and Awais Yousaf and M. Ameer and Abdul Razaq. 2019. “ Non-Conjugate Graphs Associated With Finite Groups.” IEEE Access 7. https://doi.org/10.1109/ACCESS.2019.2938083
34. Muhammad Nadeem , Awais Yousaf, Hanan Alolaiyan, Abdul Razaq. 2019. “ Certain polynomials and related topological indices for the series of benzenoid graphs.” Scientific Reports 9. https://doi.org/10.1038/s41598-019-45721-y
35. Abdul Razaq and Qaiser Mushtaq and Awais Yousaf. 2018. “The number of circuits of length 4 in PSL(2,Z).” Communications in Algebra / Informa UK Limited 46. https://doi.org/10.1080/00927872.2018.1461880
36. S. Bukhari, Awais Yousaf, S. Niazi, M. R. Anjum. 2018. “A Novel Technique for the Generation and Application of Substitution Boxes (S-box) for the Image Encryption.” The Nucleus 55. 10.71330/thenucleus.2018.229
37. Qaiser Mushtaq and Awais Yousaf. 2018. “ Alternating groups as a quotient of PSL( 2 , Z [i]).” Proceedings - Mathematical Sciences 128. https://doi.org/10.1007/s12044-018-0381-8
38. Abdul Razaq and Awais Yousaf and Umer Shuaib and Nasir Siddiqui and Atta Ullah and Adil Waheed. 2017. “ A Novel Construction of Substitution Box Involving Coset Diagram and a Bijective Map.” Security and Communication Networks 2017. https://doi.org/10.1155/2017/5101934
39. QAISER MUSHTAQ and AWAIS YOUSAF. 2014. “ Diagrams for certain quotients of PSL ( 2 , Z[i]).” Proceedings - Mathematical Sciences 124. https://doi.org/10.1007/s12044-014-0193-4
The Islamia University of Bahawalpur was established in the year 1975 by upgrading historical institute of the Jamia Abbasia.
