
Dr. Rashid Farooq
Assistant Professor
Department of Mathematics
SNS
National University of Sciences and Technology (NUST)
H12, Islamabad
Tel :
+92 51 9085 5580
Email :
farooq (at mark) sns.nust.edu.pk
Specialization
Combinatorial Optimization, Spectral Graph Theory
Education
D.Sc. Mathematics (Kyoto University, Japan)



Profile
Education:
 19961998: Master of Science, QuaidiAzam University, Islamabad Pakistan.
 19982000: Master of Philosophy, QuaidiAzam University, Islamabad Pakistan.
 20032007: Doctor of Science (Supervised by Prof. Satoru Fujishige), Kyoto University, Japan.
Positions Held:
• October 01, 2012date: Head of Department (Mathematics) National University of Sciences and Technology, Islamabad, Pakistan • May, 2007 date: Assistant Professor National University of Sciences and Technology, Islamabad, Pakistan • March, 1999February, 2001: Teaching Assistant Institute of Business Administration and Technology Islamabad, Pakistan.
Research Research Interests:
My recent interest is in Spectral Graph Theory. More precisely, I work on Energy of Graphs and Digraphs, and Topological Indices. Moreover, I also work in Game Theory, specially, in Twosided Matching Markets problems.
Research Students
PhD
 Dr Yasir Ali 20072011
 Mr Mehar Ali Malik 2012present
 Mr Mehtab Khan 2013present
 Ms. Shehnaz Akhter 2015present
 Ms. Sumaira Hafeez 2015present
MPhil
SabeeleHafi 2015present
Fatima Farrrukh 2015 – present
Nazia Nazir 2015 2016
Mr. Yasir Masood 2014 2015
Ms Zarmina Zaman Babar 20132014
Ms Qudsia Noureen 20132014
Ms. Ayesha Mahmood 20112013
Ms Sumbul Azeem 20112013
Mr. M. Usman Ali 20112013 (CoSupervisor)
Foreign Research Visits
 Keio University, Yokohama Japan (July 2 ~ August 24, 2009). (Sponsored by Global COE, Kyoto University)
 Keio University, Yokohama Japan (June 19 ~ September 06, 2010). (Sponsored by Japan Students Services Organization JASSO)
 Abdus Salam International Centre for Theoretical Physics, Trieste Italy (September 2012). (Sponsored by NUST and ASICTP)
Publications Research Publications:
31. 
S. Akhter, R. Farooq, S. Pirzada; Exact formulae of general sumconnectivity index for some graph operations, MATEMATIČKI VESNIK (http://www.vesnik.math.rs/inpress/mv2017_080.pdf) 
30. 
Rashid Farooq, Mehtab Khan and Sarah Chand, On iota energy of signed digraphs, Linear and Multilinear Algebra (https://doi.org/10.1080/03081087.2018.1431200) 
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 Current Courses:
Previous Courses:
 Number Theory
 Graph Theory
 Optimization Theory
 Functional Analysis
 Real Analysis
 Linear Algebra
 Metric and Topological Spaces


