
Dr. Rashid Farooq
Associate Professor
Department of Mathematics
SNS
National University of Sciences and Technology (NUST)
H12, Islamabad
Tel :
+92 51 9085 5550
Email :
farooq (at mark) sns.nust.edu.pk
Specialization
Combinatorial Optimization, Spectral Graph Theory
Education
Doctor of Science, Kyoto University, Japan, Master of Philosophy,QuaidiAzam University, Islamabad, Pakistan, Master of Science, QuaidiAzam University, Islamabad, Pakistan , Bachelor of Science, Bahauddin Zakariya University, Multan, Pakistan



Profile Dr. Rashid Farooq joined the Research Institute for Mathematical
Sciences (RIMS), a research institute at Kyoto University, Japan, as a Research
student in April 2002. He joined the doctoral programme of RIMS in April 2003 and
earned Doctor of Science degree in Mathematics in March 2007. Soon after the
completion of his doctoral degree, he joined NUST in May 2007.
Dr. Rashid Farooq has
numerous research papers to his credit in the area of graph theory and game
theory. He has supervised several doctoral and master students. His recent
research interests include spectral graph theory and metric graph theory. Dr.
Rashid was appointed as Head of Mathematics Department in October 2012 for a
period of 3 years. In October 2018, he assumed the charge of Head of Mathematics Department for the second time. In June 2019, he took charge of the NUST School of Natural Sciences as Principal.
Research Recent research interests of Dr Rashid include spectral graph
theory and metric graph theory. In particular, he works on energy of graphs and
digraphs, topological indices, metric and strong metric dimension of graphs.
Publications Research Publications:
36. 
S. Akhter, R. Farooq: Computing the eccentric connectivity index and eccentric adjacency index of conjugated trees, Utilitas Mathematica (to appear) 
35. 
S. Akhter, R. Farooq: Metric dimension of fullerene graphs, Electronic Journal of Graph Theory and Applications (to appear) 
34. 
S. Akhter, R. Farooq: On the eccentric adjacency index of unicyclic graphs and trees, AsianEuropean Journal of Mathematics (to appear) 
33. 
Naila Mehreen, R. Farooq, Shehnaz Akhter: On partition dimension of fullerene graphs, AIMS Mathematics, 3(3), 343352 (2018). 
32. 
S. Hafeez, R. Farooq, M. Khan: Bicyclic signed digraphs with maximal energy, Applied Mathematics and Computation, 347, 702–711 (2019) 
31. 
S. Akhter, R. Farooq, S. Pirzada; Exact formulae of general sumconnectivity index for some graph operations, MATEMATIČKI VESNIK, 70(3) (2018), 267282.

30. 
R. Farooq, Mehtab Khan and Sarah Chand, On iota energy of signed digraphs, Linear and Multilinear Algebra, VOL.67, NO.4,705–724 (2019)

29. 
Rashid Farooq, Sarah Chand and Mehtab Khan, On iota energy of bicyclic signed digraphs, AsianEuropean Journal of Mathematics (https://doi.org/10.1142/S1793557119500785) 
28. 
Zahid Iqbal, Muhammad Ishaq, Rashid Farooq; Computing different versions of atombond connectivity index of dendrimers, Journal Of Informatics And Mathematical Sciences, Vol. 9, No. 1, pp. 217–229, 2017 
27. 
R. Farooq, A. Mahmood; A note on a twosided discreteconcave market with possibly bounded salaries, International Game Theory Review, Vol. 19, No. 3, (2017) pp: 17500171  175001721. 
26. 
Fatima Farrukh, Rashid Farooq and Mohammad Reza Farahani: On the atombond connectivity and geometricarithmetic indices of SiO2 layer structure, Moroccan Journal of Chemistry, Vol. 5 No. 2 (2017) 384390. 
25. 
M. Khan, R. Farooq; On the energy of bicyclic signed digraphs, Journal of Mathematical Inequalities, Vol. 11, No. 3 (2017), 845–862. 
24. 
R. Farooq, M. Khan, F. Ahmad: Extremal iota energy of bicyclic digraphs, Applied Mathematics and Computation, 303 (2017) 24–33. 
23. 
M. A. Malik, R. Farooq: Computing topological indices of some hyperbranched macromolecules, Journal of Optoelectronics and Advanced Materials, Vol. 18, No. 1112, 2016, 1057 – 1068. 
22. 
S. Akhter, R. Farooq: Computing bounds for the general sumconnectivity index of some graph operations, Algebra and discrete mathematics (to appear). 
21. 
M. Khan, R. Farooq, J. Rada: Complex adjacency matrix and energy of digraphs, Linear Multilinear Algebra, http://dx.doi.org/10.1080/03081087.2016.1265064 
20. 
Fatima Farrukh, SabeeleHafi, Rashid Farooq, Mohammad R. Farahani; Calculating some topological indices of SiO2 layer structure, Journal Of Informatics And Mathematical Sciences, Vol. 8, No. 3, pp. 181–187, 2016 
19. 
W. Gao, W. F. Wang, M. K. Jamil, R. Farooq, M. R. Farahani: Generalized atombond connectivity analysis of several chemical molecular graphs, Bulgarian Chemical Communications, Vol. 48, Number 3 (pp. 543  549) 2016. 
18. 
R. Farooq, M. A. Malik, Q. Naureen and S. Pirzada, On the nullity of a family of tripartite graphs, Acta Univ. Sapientiae, Informatica, Vol. 8(1), pp. 96–107, (2016) 
17. 
Nazia Nazir, R. Farooq, Mehar Ali Malik: Computing some degreebased topological indices of a heterofunctional dendrimer, Journal of Optoelectronics and Advanced Materials, Vol. 18, Iss. 56, May – June 2016, p. 574  586 
16. 
M. A. Malik, R. Farooq; On the eccentricconnectivity index of some 3fence graphs and their line graphs,International Journal of Applied and Computational Mathematics (to appear)

15. 
R. Farooq, M. Khan, Y. Masood; Extremal energy of digraphs, Kragujevac Journal of Mathematics, Vol 40(1) P 79–89, 2016.

14. 
R. Farooq, N. Nazir, M. A. Malik, M. Arfan; Eccentricity based topological indices of a hetrofunctional dendrimer, Journal of Optoelectronics and Advanced Materials, Vol. 17, No. 1112, pp. 1799 – 1807, 2015. 
13.

R. Farooq, M. A. Malik; On some eccentricity based topological indices of nanostar dendrimers, Optoelectronics and Advanced MaterialsRapid Communications; Vol. 9, No. 56, pp. 842—849, 2015. 
12. 
M. A. Malik, R. Farooq; Some conjectures on energy and Estrada index of CNCk[n] nanocones, Optoelectronics and Advanced MaterialsRapid Communications; Vol. 9, No. 34, pp. 415 – 418, 2015. 
11. 
M. A. Malik, R. Farooq; Computational results on the energy and Estrada index of TUC4C8(R)[m, n] nanotubes, Optoelectronics and Advanced MaterialsRapid Communications, Vol. 9, No. 12, pp. 311313, 2015. 
10. 
Sumbul Azeem, R. Farooq; M^{\natural}convexity and Ultramodularity on Integer Lattice; Mathematical Inequalities and Applications; Vol. 18, Number 3, pp. 949—958, 2015. 
9. 
M. Khan, R. Farooq, A.A. Siddiqui, On the extremal energy of bicyclic digraphs; Journal of Mathematical Inequalities, Vol. 9, Number 3, pp. 799—810, 2015. 
8. 
R. Farooq, T. Fleiner, A. Tamura; Matching with partially ordered contracts; Japan Journal of Industrial and Applied Mathematics, Vol. 29, pp. 401417, 2012 
7. 
Y. Ali, R. Farooq; Existence of stable outcome in a job market with linear valuations and possibly bounded salaries; Pacific Journal of Optimization, Vol. 7, No.3, pp.531550, 2011. 
6. 
Y. Ali, R. Farooq; Pairwise stability in a twosided matching market with indivisible goods and money; Journal of Operations Research Society of Japan, Vol. 54, No. 1, pp.111, 2011. 
5. 
R. Farooq; A polynomialtime algorithm for a stable matching problem with linear valuations and bounded side payments; Japan Journal of Industrial and Applied Mathematics, Vol. 25, No 1, pp. 8389, 2008. 
4. 
R. Farooq, Y.T. Ikebe, A. Tamura; On labor allocation model with possibly bounded salaries; Journal of Operations Research Society of Japan, Vol. 51, No 2, pp. 136154, 2008. 
3. 
R. Farooq, A. Shioura; A note on the equivalence between substitutability and M^{n}convexity; Pacific Journal of Optimization, Vol. 1, No 1, pp. 243252, January 2005. 
2. 
R. Farooq, A. Tamura; A new characterization of M^{n}convex set functions by substitutability; Journal of Operations Research Society of Japan, Vol. 47, No 1, pp. 1824, 2004. 
1. 
A. Ali, R. Farooq; A note on finite metabelian groups of wielandt length two; Southeast Asian Bulletin of Mathematics, Vol. 25, pp. 187190, 2001. 
Teaching Taught following
courses at undergraduate and postgraduate level:
 Operations Research
 Game Theory
 Analysis
 Abstract Algebra
 Number Theory
 Cryptography
 Graph Theory
 Optimisation Theory
 Functional Analysis
 Real Analysis
 Linear Algebra
 Metric and Topological Spaces


