Dr. Imran Javaid
Professor of Mathematics (Tenured)
Centre for Advanced Studies in Pure and Applied Mathematics (CASPAM)
Bahauddin Zakariya University, Multan, Pakistan
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Profile
Dr. Imran Javaid is a tenured Professor of Mathematics at the Centre for Advanced Studies in Pure and Applied Mathematics (CASPAM), Bahauddin Zakariya University, Multan, where he served as Director from 2019 to 2022. He earned his PhD from the Abdus Salam School of Mathematical Sciences, GC University Lahore (2007), and joined BZU in 2008.
His research began in metric and resolvability parameters of graphs — metric dimension, partition dimension, fault tolerance, fixing and distinguishing numbers — and grew into a body of work on rough sets, information granulation and attribute reduction in graphs and information systems. Recent papers in Information Sciences, Applied Soft Computing and the Journal of Applied Mathematics and Computing bring these ideas to pattern recognition, social-network dynamics and explainable decision support.
Academic appointments
Education
Research interests
Graph & Network Theory, Rough Sets & Granular Computing, AI, Machine Learning & Decision Science, Quantitative Finance & Business Analytics.
Awards and honours
Research grants
Journal publications (69)
Impact Factor Bearing Journals (58)
- H. Arshad, I. Javaid. Metric-based granular computing in networks. Applied Soft Computing, 202, Part C (October 2026), 115965. doi:10.1016/j.asoc.2026.115965
- A. Fatima, I. Javaid, M. Akram. Rough Set Theory Applied to Group of Symmetries for Pattern Recognition. New Mathematics and Natural Computation, (2025), 1–20.
- I. Javaid, A. Fatima, M. Akram. Symmetry-based granulation in networks associated with commutative rings: application in social network dynamics. Journal of Applied Mathematics and Computing, (2025), 1–26.
- R. Alharbi, H. Arshad, I. Javaid, A. N. A. Koam, A. Haider. Distance-based granular computing in networks modeled by intersection graphs. AIMS Mathematics, 10(5), (2025), 10528–10553.
- H. Arshad, I. Javaid, A. Fahad. Granular computing in zero-divisor graphs of Zₙ. Kuwait Journal of Science, 51(3), (2024), 100231.
- A. Fatima, I. Javaid. Rough set theory applied to finite dimensional vector spaces. Information Sciences 659 (2024) 120072.
- M. N. Azhar, M. Fazil, I. Javaid, M. Murtaza. Graphs with distinguishing sets of size k. Kuwait Journal of Science 51 (2024) 100170.
- I. Javaid, H. Benish, M. Murtaza. The fractional local metric dimension of graphs. Contributions to Discrete Mathematics, 19(3) (2024), 163–177.
- I. Javaid, A. Haider, M. Salman, S. Mehtab. Resolvability in hypergraphs. Contributions to Discrete Mathematics, 18 (2) (2023), 176–187.
- A. Shah, I. Javaid, S. Ur. Rehman. Symmetries and Symmetry-Breaking in arithmetic graphs. Heliyon 9 (2023) e19820.
- S. Ur. Rehman, M. Imran, I. Javaid. On automorphism and fixing number of co-normal product of graphs. Indian J Pure Appl Math (2023). doi:10.1007/s13226-023-00421-2
- W. Wang, H. Arshad, A. Fahad, I. Javaid. On some Ev and Ve degree dependent indices of Benes network and its derived classes. Computer Modeling in Engineering & Sciences, 135(2), 2023, 1685–1699.
- I. Javaid, S. Ali, S. Ur Rehman, A. Shah. Rough sets in graphs using similarity relations. AIMS Mathematics, 7(4) 2022, 5790–5807.
- M. Fazil, I. Javaid, M. Murtaza. On the fixing number of functigraphs. Bulletin of the Korean Mathematical Society, 58(1) 2021, 171–181.
- M. Fazil, I. Javaid. On the fixatic number of graphs. Ars Combinatoria, 153(2020), 41–52.
- M. Murtaza, I. Javaid, M. Fazil. Covering codes of a graph associated to a finite vector space. Ukrains' kyi Matemattychnyi Zhurnal, 72(7) 2020, 952–959.
- S. Rehman, M. Imran, I. Javaid. On the metric dimension of arithmetic graph of a composite number. Symmetry, 2020.
- M. Murtaza, M. Fazil, I. Javaid. Locating-dominating sets of functigraphs. Theoretical Computer Science, 799(2019), 115–123.
- H. Benish, I. Javaid, M. Murtaza. Automorphism related parameters of graph associated to a finite vector space. Utilitas Mathematica, 111(2019),35–48.
- S. Akhter, M. Imran, M. R. Farahani, I. Javaid. On topological properties of hexagonal and silicate networks. Hacettepe Journal of Mathematics and Statistics, 48(3) 2019, 711–723.
- I. Javaid, M. Salman, M. Murtaza, F. Iftikhar, M. Imran. Weak total resolving sets in graphs. Utilitas Mathematica, 110(2019), 11–26.
- I. Javaid, H. Benish, M. Imran, A. Khan, Z. Ullah. On some bounds of the topological indices of generalized Sierpiński and extended Sierpiński graphs. Journal of Inequalities and Applications, (2019) 2019:37. doi:10.1186/s13660-019-1990-1
- I. Javaid, M. S. Aasi, I. Irshad, M. Salman. On fixing sets of composition and corona product of graphs. Utilitas Mathematica, 109(2018), 17–28.
- M. Salman, I. Javaid, M. A. Chaudhry. Resolving share and topological index. Utilitas Mathematica, 108(2018), 89–105.
- M. Fazil, M. Murtaza, Z. Ullah, U. Ali, I. Javaid. On the Distinguishing Number of Functigraphs. Symmetry, 2018, 10, 332. doi:10.3390/sym10080332
- I. Javaid, S. Rehman, M. Imran. Bounds on the domination number and the metric dimension of co-normal product of graphs. Journal of Inequalities and Applications (2018) 2018:162. doi:10.1186/s13660-018-1752-5
- M. Salman, I. Javaid, M. A. Chaudhry. Minimum Fault-Tolerant, local and strong metric dimension of graphs. Ars Combinatoria 138 (2018), 333–353.
- M. N. Azhar, I. Javaid. Metric Basis in Circulant Networks. Ars Combinatoria 136 (2018), 277–286.
- I. Javaid, M. Murtaza, M. Asif, F. Iftikhar. On the fixed number of graph. Bulletin of Iranian Mathematical Society, 43(7)(2017)2281–2292.
- A. Younus, I. Javaid, A. Zohra. On Controllability and Observability of Fractional Continuous-Time Linear Systems with Regular Pencils. Bulletin of the Polish Academy of Sciences Technical Sciences, 3(65)(2017), 297–304.
- M. Fazil, I. Javaid, M. Salman, U. Ali. Locating-dominating sets in hypergraphs. Periodica Mathematica Hungarica, 72(2016) , 224–234.
- M. Imran, M. Salman, M. Rehmat, I. Javaid. The crossing number of chordal ring networks. Periodica Mathematica Hungarica, 2(71) (2015) 193–209.
- K. Ali, I. Tomescu, I. Javaid. On path-sunflower Ramsey numbers. Mathematical Reports 17(67), 4(2015) 385–390.
- U. Ali, F. Azam, I. Javaid, A. Haider. Braids with Trivial Simple Centralizer. Algebra Colloquium 22 : 4 (2015) 561–566.
- I. Javaid, F. Khalid, A. Ahmad, M. Imran. On a weaker version of sum labeling of graphs. Mathematical Reports, 16(66), 3(2014), 413–420.
- I. Javaid, M. Salman, M. A. Chaudhry. Graphs of order n with fault-tolerant partition dimension n−1. U. P. B. Sci. Bull. Uni. Series A, 3(76)(2014), 159–168.
- I. Javaid, H. Benish, A. Haider, M. Salman. Determining and distinguishing number of hypergraphs. U. P. B. Sci. Bull. Uni. Series A, 2(76)(2014), 75–84.
- H. U. Afzal, A. Q. Baig, M. Imran, I. Javaid. Super edge-magic labeling of volvox and pancyclic graphs. Util. Math. 93 (2014), 49–56.
- S. Naz, M. Salman, U. Ali, I. Javaid, S. Ihtsham-ul-Haq Bukhary. On the Constant Metric Dimension of Generalized Petersen Graphs P(n,4). Acta Math. Sin. (Engl. Ser.) 7(30)(2014), 1145–1160.
- Z. Ullah, I. Javaid, M. A. Chaudhry. On generalized triple derivations on lattices. Ars Combin. 113 (2014), 463–471.
- I. Javaid, A. Ismail, M. Salman, A. Ahmad, Slamin. Labeling of Chordal Rings. Utilitas Mathematica, 90(2013), 61–75.
- A. Rauf, M. A. Chaudhry, I. Javaid. Derivations on semiprime Γ-rings. Utilitas Mathematica, 90(2013), 171–185.
- Z. Ullah, I. Javaid, M. A. Chaudhry. Derivations involving centralizers. Utilitas Mathematica, 90(2013), 383–392.
- M. Salman, M. A. Chaudhry, I. Javaid. On the locatic number of graphs. International Journal of Computer Mathematics, 5(90)(2013), 912–920.
- S. Ahmad, I. Javaid, M. A. Chaudhry, M. Salman. On the metric dimension of generalized Petersen graphs. Quaestiones Mathematicae, 36(2013), 421–435.
- M. Imran, A. Q. Baig, S. A. Bokhary, I. Javaid. On the metric dimension of circulant graphs. Applied Mathematics Letters 25(2012) 320–325.
- A. Q. Baig, M. Imran, I. Javaid, Andrea Semanicova-Fenovcikova. Super edge-magic deficiency of graphs. Utilitas Mathematica 87(2012), 355–365.
- I. Javaid, S. Ahmad, M. N. Azhar. On the Metric Dimension of Generalized Petersen Graphs. Ars Combinatoria 105(2012) 171–182.
- M. A. Chaudhry, A. Rauf, I. Javaid. On (α,β)-generalized derivations on lattices. Ars Combinatoria 105(2012) 525–533.
- M. Salman, I. Javaid, M. A. Chaudhry. Resolvability in circulant graphs. Acta Mathematica English Series 9(28) (2012) 1851–1864.
- M. Salman, I. Javaid, M. A. Chaudhry. 2-size resolvability in graphs. Appl. Math. Inform. Sci. 6(2)(2012), 371–376.
- A. Ahmad, I. Javaid, M. F. Nadeem. Further results on super edge magic deficiency of unicyclic graphs. Ars Combinatoria 99(2011), 129–138.
- M. T. Rahim, K. Ali, I. Javaid. On antimagic total labelings of some families of graphs. Ars Combinatoria 95(2010), 225–234.
- M. A. Chaudhry, I. Javaid, M. Salman. Fault-tolerant metric and partition dimension of graphs. Utilitas Mathematica 83 (2010), 187–199.
- I. Javaid, M. Salman, M. A. Chaudhry, S. Shokat. Fault-Tolerance in Resolvability. Utilitas Mathematica 80(2009) 263–275.
- I. Javaid, M. T. Rahim, K. Ali. Families of regular graphs with constant metric dimension. Utilitas Mathematica 75 (2008), 21–33.
- I. Tomescu, I. Javaid. On the metric dimension of Jahangir graph. Bulletin Mathematique de la Societe des Sciences Mathematiques de Romanie 50(2007) 371–376.
- I. Tomescu, I. Javaid, Slamin. On the partition dimension and connected partition dimension of wheels. Ars Combinatoria 84 (2007), 311–317.
ISI Listed Journals (5)
- S. A. U. H. Bokhary, M. Imran, I. Javaid. On vertex irregularity strength of rotationally symmetric polytopes. Science International Lahore 24(3)(2012), 251–256.
- A. Rauf, I. Javaid, M. A. Chaudhry. Permuting Tri-Derivations on Incline Algebras. World Applied Science Journal,19(11)(2012), 1649–1652.
- I. Javaid, N. K. Raja, M. Salman, M. N. Azhar. The Partition Dimension of Circulant Graphs. World Applied Science Journal, 18(12)(2012), 1705–1717.
- I. Javaid, M. N. Azhar, M. Salman. Metric Dimension and Determining Number of Cayley Graphs. World Applied Science Journal,18(12)(2012), 1800–1812.
- I. Javaid, F. Iftikhar, M. Salman. Total resolvability in graphs. Middle East Journal of Scientific Research, 11 (12)(2012), 1649–1658.
International Journals (3)
- A. R. Khan, M. A. Chaudhry, I. Javaid. Some results on prime and semiprime Γ-rings. Analele Universităţii Oradea Fasc. Matematica, Tom XXIII (2016), Issue No. 1, 177–187.
- A. Ahmad, K. M. Awan, I. Javaid, Slamin. Total vertex irregularity strength of wheel related graphs. Austr. Journal of Combinatorics, 51(2011) 147–156.
- A. Ahmad, M. F. Nadeem, I. Javaid, R. Hasni. On the super edge-magic deficiency of some families related to ladder graphs. Austr. Journal of Combinatorics, 51(2011), 201–208.
National Journals (3)
- A. I. Pitafi, A. R. Khan, R. A. Memon, I. Javaid, M. S. Ullah. An Identity Related to Generalized Derivations on Semiprime Γ-Rings. Sindh Univ. Res. Jour. (Sci. Ser.) 48 (4)(2016) 855–858.
- I. Javaid, S. Shokat. On the partition dimension of some wheel related graphs. Journal of Prime Research in Mathematics, 4 (2008), 154–164.
- I. Javaid, M. Fazil, U. Ali, M. Salman. On some parameters related to fixing sets in graphs. Journal of Prime Research in Mathematics, 14(2018), 1–12.
PhD supervision (13)
MPhil supervision (74)
Invited talks and presentations
Organised
Administrative positions
Boards and committees
- University of Narowal — Steering Committee
- COMSATS University Islamabad — Board of Studies
- Islamia University Bahawalpur — Board of Studies
- Sadiq Women University — Board of Studies; Advanced Studies & Research Board
- GC University Faisalabad — Board of Studies; Tenure Review
- University of Gujrat — Departmental Tenure Review
- Ghazi University DG Khan — Board of Studies
- Emerson University Multan — Board of Studies
- KFUEIT Rahim Yar Khan — Board of Studies
- Multan Flying Club — BSc Aviation Sciences Board of Studies
- BZU — Board of Studies, Affiliation, Semester Reforms, TTS Standing, Admissions and Examination committees
External examiner
NUST Islamabad, University of the Punjab, GC University Lahore, GC University Faisalabad, COMSATS, University of Sargodha, Islamia University Bahawalpur.
Courses taught
Operations Research, Business Analytics, Optimization Theory, Actuarial Mathematics, Mathematical Foundations of Finance, Data Analysis using Excel, Machine Learning, Artificial Intelligence, Database Systems, Discrete Structures, Probability & Mathematical Statistics, Linear Algebra & Matrix Computation, Real & Complex Analysis, Control Theory, Combinatorics & Graph Theory, Algebraic Graph Theory, Fuzzy Graphs & Hypergraphs, Differential Equations, Group Theory & Algebra, Calculus I–III.
Languages
English, Urdu, Punjabi, Saraiki.
References
Available on request.
Updated October 2026.