Department of

MATHEMATICS AND STATISTICS

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Dr. Sk. Md. Abu Nayeem Professor / MATHEMATICS AND STATISTICS

Email : nayeem.math@aliah.ac.in

Address : ALIAH UNIVERSITY, IIA/27, NEWTOWN, Kolkata - 700 160

Phone : +91-33-2341-6516

Head of the Department

 

Education

Ph.D. in Mathematics, Vidyasagar University, 2007.

M.Sc. in Applied Mathematics, Vidyasagar University, 2001.

Teaching Experience

Professor, Aliah University, 06/06/2021 - till date

Associate Professor, Aliah University, 06/06/2018 – 05/06/2021

Assistant Professor, Aliah University, 12/10/2010 – 05/06/2018.

Assistant Professor, Jhargram Raj College, 06/06/2006 – 11/10/2010.

Field of Specialization

Graph Theory, Advanced Optimization Techniques & Operations Research

Courses Taught/Teaching

  • Calculus
  • Linear Algebra
  • Numerical Analysis
  • Programming in C
  • Graph Theory
  • Optimization Techniques
  • Algebraic Graph Theory

Research Area

  • Algorithmic Graph Theory
  • Linear Algebraic Aspects of Graph Theory
  • Chemical Graph Theory
  • Graphs from Algebraic Structures

Experience

  • Head of the Department of Mathematics and Statistics, Aliah University, 2024 – 2026

  • Chairman, Departmental Research Committee, Department of Mathematics and Statistics, Aliah University, 2024 – 2026

  • NEP Coordinator, Aliah University, 2024 – till date

  • Member, Board of Studies of the Department of Management and Business Administration, Aliah University, 2023 – 2026

  • Controller of Examinations (Acting), Aliah University, 2022 – 2024

  • Member, Board of Studies of the Department of Computer Science and Engineering, Aliah University, 2021 – 2024

  • Convener, Departmental Research Committee, Department of Mathematics and Statistics, Aliah University, 2020 – 2024

  • Member, UG Board of Studies, Department of Mathematics, Raja Narendra Lal Khan Women’s College (Autonomous), Midnapore, West Bengal, 2019 – till date

  • Chairman, Aliah University Admission Test Committee – 2019

  • Member, Academic Council, Aliah University, 2018 – 2022

  • Head (Officiating), Department of Mathematics, Aliah University, 2013 – 2015

Conference Papers Published

  1. Nayeem, S. M. A. (2012, November). An expected value model of quadratic clique problem on a graph with fuzzy parameters. In 2012 12th International Conference on Intelligent Systems Design and Applications (ISDA). doi:10.1109/isda.2012.6416604

Journal Papers Published

  1. Hassan, M., & Nayeem, S. M. A. (2025). Laplacian eigenvalues of the clean graph of the ring Zn. Discrete Mathematics, Algorithms and Applications, 2550129. doi:10.1142/S1793830925501290

  2. Sahir, M. A., & Nayeem, S. M. A. (2025). Characterizing the degree-Kirchhoff, Gutman, and Schultz indices in pentagonal cylinders and Möbius chains. Circuits, Systems, and Signal Processing. doi:10.1007/s00034-025-03130-9

  3. Mandal, A., & Nayeem, S. M. A. (2024). On bounds of energy of a graph with self-loops. MATCH Commun. Math. Comput. Chem, 92, 703-727. doi:https://doi.org/10.46793/match.92-3.703M

  4. Mondal, O. G., & Nayeem, S. M. A. (2024a). Degree-based topological indices of the idempotent graph of the ring Zn. Examples and Counterexamples, 6, 100161. doi:https://doi.org/10.1016/j.exco.2024.100161

  5. Reja, M. S., & Nayeem, S. M. A. (2024). On Sombor index and graph energy of some chemically important graphs. Examples and Counterexamples, 6, 100158. doi:https://doi.org/10.1016/j.exco.2024.100158

  6. Mondal, O. G., & Nayeem, S. M. A. (2024b). Line idempotent graph of some commutative rings. Le Matematiche, 79(1), 79-92. https://lematematiche.dmi.unict.it/index.php/lematematiche/article/view/2578/1192

  7. Sahir, M. A., & Nayeem, S. M. A. (2024). On connective eccentric matrix of a graph. TWMS Journal of Applied and Engineering Mathematics, 14(1), 259-267. http://jaem.isikun.edu.tr/web/images/articles/vol.14.no.1/22.pdf

  8. Sahir, M. A., & Nayeem, S. M. A. (2023a). Bounds of the largest $A_{alpha}$ eigenvalue of a graph of girth 5 or more. International Journal of Applied and Computational Mathematics, 9(5), 91. doi:10.1007/540819-023-01588-2

  9. Reja, M. S., & Nayeem, S. M. A. (2023). On Sombor index and graph energy. MATCH Communications in Mathematical and in Computer Chemistry, 89(2), 451-466. doi:10.46793/match.89-2.451R

  10. Sahir, M. A., & Nayeem, S. M. A. (2023b). On the Kirchhoff index and the number of spanning trees of cylinder/Möbius pentagonal chain. Discrete Applied Mathematics, 326, 47-61. doi:10.1016/j.dam.2022.11.007

  11. Sahir, M. A., & Nayeem, S. M. A. (2022). On energy of matrices of a weighted graph. Asian-European Journal of Mathematics, 2350054. doi:10.1142/S1793557123500547

  12. Amin, R., & Nayeem, S. M. A. (2022). Normalized Laplacian energy and normalized Laplacian-energy-like invariant of some derived graphs. Matematicki Vesnik, 74(4), 229-241. http://www.vesnik.math.rs/vol/mv22401.pdf

  13. Sahir, M. A., & Nayeem, S. M. A. (2021). $A_{alpha}$ spectra of graphs obtained by two corona operations and $A_{alpha}$ cospectral graphs. Discrete Mathematics, Algorithms and Applications. doi:10.1142/S1793830921501123

  14. Rana, S., & Nayeem, S. M. A. (2021). A linear time algorithm for minimum equitable dominating set in trees. Proyecciones (Antofagasta), 40(4), 805-814. https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4552/3830

  15. Khatun, S., Sircar, J., & Nayeem, S. M. A. (2020b). On some properties of Abian's semiring and its zero divisor graphs. Journal of the Indonesian Mathematical Society, 26, 64-73. doi:10.22342/jims.26.1.776.64-73

  16. Amin, R., & Nayeem, S. M. A. (2020b). Extremal F-indices for bicyclic graphs with k pendant vertices. The Pure and Applied Mathematics, 27(4), 171-186. doi:10.7468/jksmeb.2020.27.4.171

  17. Amin, R., & Nayeem, S. M. A. (2020a). Bounds for Kirchhoff index and Laplacian-energy-like invariant of some derived graphs of a regular graph. Discrete Mathematics, Algorithms and Applications, 2050022. doi:10.1142/$1793830920500226

  18. Khatun, S., Sircar, J., & Nayeem, S. M. A. (2020a). Abian's relation on semirings. Southeast Asian Bulletin of Mathematics, 44(1), 87-98.

  19. Amin, R., & Nayeem, S. M. A. (2018). On the F-index and F-coindex of the line graphs of the subdivision graphs. Malaya Journal of Matematik, 6(2), 362-368. doi:10.26637/MJM0602/0010

  20. Amin, R., & Nayeem, S. M. A. (2017). Trees with minimum F-coindex. Electronic Notes in Discrete Mathematics, 63, 303-310. doi:10.1016/j.endm.2017.11.026

  21. Khatun, S., & Nayeem, S. M. A. (2017). Graceful labeling of some zero divisor graphs. Electronic Notes in Discrete Mathematics, 63, 189-196. doi:10.1016/j.endm.2017.11.013

  22. De, N., Nayeem, S. M. A., & Pal, A. (2016b). The F-coindex of some graph operations. SpringerPlus, 5(1). doi:10.1186/s40064-016-1864-7

  23. De, N., & Nayeem, S. M. A. (2016). Computing the F-index of nanostar dendrimers. Pacific Science Review A: Natural Science and Engineering, 18(1), 14-21. doi:10.1016/j.psra.2016.06.001

  24. De, N., Nayeem, S. M. A., & Pal, A. (2016a). F-index of some graph operations. Discrete Mathematics, Algorithms and Applications, 08(02), 1650025. doi:10.1142/51793830916500257

  25. De, N., Pal, A., & Nayeem, S. M. A. (2016). The irregularity of some composite graphs. International Journal of Applied and Computational Mathematics, 2(3), 411-420. doi:10.1007/540819-015-0069-2

  26. De, N., Nayeem, S. M. A., & Pal, A. (2015a). Reformulated first Zagreb index of some graph operations. Mathematics, 3(4), 945-960. doi:10.3390/math3040945

  27. De, N., Nayeem, S. M. A., & Pal, A. (2015b). Modified eccentric connectivity index and polynomial of corona product of graphs. International Journal of Computer Applications, 132(9), 1-5. doi:10.5120/ijca2015907536

  28. De, N., Pal, A., & Nayeem, S. M. A. (2015). Total eccentricity index of some composite graphs. Malaya Journal of Matematik, 3(4), 523-529. https://www.malayajournal.org/articles/paper10_2015.pdf

  29. Nayeem, S. M. A. (2015). An expected value approach involving linear combination of possibility and necessity measures for a fuzzy EOQ model. Journal of Intelligent & Fuzzy Systems, 29(2), 761-767. doi:10.3233/ifs-141495

  30. De, N., Nayeem, S. M. A., & Pal, A. (2014b). Computing modified eccentric connectivity index and connective eccentric index of V-phenylenic nanotorus. Studia Universitatis Babes-Bolyai Chemia, 59(4), 129-137. http://chem.ubbcluj.ro/-studiachemia/issues/chemia2006_2015/Chemia2014_4.pdf

  31. De, N., Nayeem, S. M. A., & Pal, A. (2014a). Total eccentricity index of the generalized hierarchical product of graphs. International Journal of Applied and Computational Mathematics, 1(3), 503-511. doi:10.1007/540819-014-0016-4

  32. De, N., Nayeem, S. M. A., & Pal, A. (2014d). Bounds for the modified eccentric connectivity index. Advanced Modeling and Optimization, 16(1), 133-142. https://camo.ici.ro/journal/vol16/v16a11.pdf

  33. De, N., Nayeem, S. M. A., & Pal, A. (2014c). Connective eccentricity index of some thorny graphs. Annals of Pure and Applied Mathematics, 7(1), 59-64. http://www.researchmathsci.org/apamart/APAM-v7n1-10.pdf

  34. De, N., Pal, A., & Nayeem, S. M. A. (2014b). On some bounds and exact formulae for connective eccentric indices of graphs under some graph operations. International Journal of Combinatorics, 2014, 1-5. doi:10.1155/2014/579257

  35. De, N., Pal, A., & Nayeem, S. M. A. (2014a). Modified eccentric connectivity of generalized thorn graphs. International Journal of Computational Mathematics, 2014, 1-8. doi:10.1155/2014/436140

  36. Nayeem, S. M. A., & Pal, M. (2013). Diameter constrained fuzzy minimum spanning tree problem. International Journal of Computational Intelligence Systems, 6(6), 1040-1051. doi:10.1080/18756891.2013.816027

  37. Nayeem, S. M. A., & Pal, A. (2009). Near-shortest simple paths on a network with imprecise edge weights. Journal of Physical Sciences, 13, 223-228. http://inet.vidyasagar.ac.in:8080/jspui/bitstream/123456789/781/2/Art20.pdf

  38. Nayeem, S. M. A., & Pal, M. (2008b). PERT on a network with imprecise edge weight. The Journal of Fuzzy Mathematics, 16(4), 853-874.

  39. Nayeem, S. M. A., & Pal, M. (2008a). The p-center problem on fuzzy networks and reduction of cost. Iranian Journal of Fuzzy Systems, 5(1), 1-26. doi:10.22111/ijfs.2008.313

  40. Nayeem, S. M. A., & Pal, M. (2007). Genetic algorithmic approach to find the maximum weight independent set of a graph. Journal of Applied Mathematics and Computing, 25(1-2), 217-229. doi:10.1007/bf02832348

  41. Nayeem, S. M. A., & Pal, M. (2005b). Genetic algorithm to solve the p-centre and p-radius problem on a network. International Journal of Computer Mathematics, 82(5), 541-550. doi:10.1080/00207160512331323380

  42. Nayeem, S. M. A., & Pal, M. (2005a). Shortest path problem on a network with imprecise edge weight. Fuzzy Optimization and Decision Making, 4(4), 293-312. doi:10.1007/s10700-005-3665-2

Books Published

  1. Nayeem, S. M. A., & Pal, M. (2016). Planning of a project with imprecise activity time. In Handbook of research on modern optimization algorithms and applications in engineering and economics (pp. 505-515). doi:10.4018/978-1-4666-9644-0.ch019

  2. Nayeem, S. M. A. (2014). A new expected value model for the fuzzy shortest path problem. In Advances in intelligent systems and computing (pp. 209-215). doi:10.1007/978-81-322-1602-5-23

  3. Nayeem, S. M. A., Mukhopadhyay, J., & Rao, S. B. (Eds.). (2013). Mathematics and Computing: Current Research and Developments. New Delhi, India: Narosa Publishing House.

Ph.D. Thesis Guidance

  1. Nilanjan De (2016). A study of some new topological indices of graphs (Degree awarded by National Institute of Technology, Durgapur, Co-supervisor: Dr. Anita Pal).

  2. Ruhul Amin (2020). Some extremal graphs with respect to some topological indices.

  3. Sarifa Khatun (2020). On some aspects of graphs obtained from some algebraic structures (Co-supervisor: Dr. Jayasri Sircar).

  4. Md Abdus Sahir (2024). On Laplacian, signless Laplacian and variants of eigenvalues of graphs.

  5. Md. Selim Reja (Thesis submitted). On some degree based and eigenvalue based topological indices and interconnections.

  6. Sohel Rana (Ongoing). Domination and related problems in some classes of intersection graphs.

  7. Abujafar Mandal (Ongoing). Graph energy and its several variants.

  8. Masud Hassan (Ongoing). On eigenvalues and other properties of graphs obtained from rings and modules.

  9. Osman Gani Mondal (Ongoing). A study on some properties of graphs obtained from algebraic structures.

Membership Of Learned Societies

  1. Life Member, Indian Mathematical Society




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