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FACULTY PROFILE

Dr. Sakander Hayat

Assistant Professor
Email: sakander.hayat@giki.edu.pk
Qualifications: PhD in Applied Mathematics (2018), University of Science and Technology of China. MPhil in Applied Mathematics (2014), National University of Sciences and Technology (NUST), Islamabad. BS (Hons.) in Mathematics (2012), GC University Faisalabad.
Research Interests: Algebraic Combinatorics, Applied Combinatorics, Mathematical Chemistry, Discrete Mathematics, Discrete Applied Mathematics
Telephone: 2568

Distinctions/Achievements/Awards


  • Awarded the HEC Approved PhD Supervisor certification by HEC, Pakistan.
  • Recipient of Outstanding International Student Award 2017 awarded by China Scholarship Council (CSC).
  • Awardee of CAS-TWAS President’s Fellowship for PhD (2014–2018) by the Chinese Academy of Sciences, China and The World Academy of Sciences, Italy.
  • Recipient of Presidential Gold Medal (2014) awarded by NUST on securing the first position in MPhil batch 2012–2014.
  • Recipient of Gold Medal (2012) awarded by GCUF on securing the top position in both morning and evening sessions of BS (H) batch 2008–2012.
  • Recipient of Shield of Performance (2011) by GCUF on securing the first position in BS during years 2008–2011.

Research Projects


1. Awarded a research grant under National Research Program for Universities (NRPU) by Higher Education Commission (HEC), Pakistan

  • Role: Co-PI
  • Project Title: Grain growth in three dimensional polycrystalline microstructures: A study on some complex problems at the intersection of Geometry, Topology and Graph theory
  • Funding Organization: Higher Education Commission (HEC), Pakistan
  • Grant Type: NRPU grants
  • Grant Number:  20-11682/NRPU/RGM/R&D/HEC/2020
  • Amount: 8.406 Million PKR
  • Duration: 02 years (September 2020 ~ September 2022)  
  • Status: In progress

2. Awarded a research grant under University Programme for Advance Research (UPAR) by United Arab Emirates University (UAEU)

  • Role: Co-PI
  • Project Title: Distance based graph invariants and their applications
  • Funding Organization: UAE University
  • Grant Type: UPAR grant
  • Grant Code:  G00003271
  • Amount: 0.2 Million AED (8.53 Million PKR)
  • Duration: 02 years (October 2019 ~ October 2021)  
  • Status: In progress

3. Awardee of a reaearch grant under SRGP by HEC

  • Role: Principle Investigator (PI)
  • Project Title: Spectral/chemical properties of topological descriptors and related matrices
  • Funding Organization: Higher Education Commission (HEC), Pakistan
  • Project No.: 2285
  • Grant No.:  21- 2285/SRGP/R&D/HEC/2018
  • Amount: 0.355 Million PKR
  • Duration: 09 months (December 2018 ~ September 2019)  
  • Status: Completed

Travel Awards & Grants


  • Travel Grant, $600,  $150 Visa Fee & Free Accommodation, London Mathematical Society, Graph Packing, London School of Economics, UK, April 2020.
  • Travel Grant, $400, Mathematical Seminar, United Arab Emirates University, UAE, July 2020.
  • Travel Grant, $500, Finite Geometry and Extremal Combinatorics, University of Delaware, USA, August 2019.
  • Travel Grant, $700, 5th Algorithmic and Enumerative Combinatorics Summer School 2019, Johannes Kepler University Linz, Austria, July 2019.
  • Travel Grant, $300, CIMPA School on Graphs, Algorithms and Randomness, University of Tabriz, Iran, May 2019.
  • Travel Grant, $700, London Mathematical Society, The 27th British Combinatorial Conference, University of Birmingham, UK, April 2019.
  • Travel Grant, $900, The 18th AHU-USTC Joint Seminar on Algebraic Combinatorics, Anhui University, China, March 2019.
  • Travel Grant, $500, Mathematical Seminar, United Arab Emirates University, UAE, December 2018.

Representative Publications


  • S. Hayat, On the anti-Kekule number of graphs,  Journal of Mathematical Chemistry, 59 (2021) 871--941.
  • S. Khan, S. Hayat, A. Khan, M.Y.H. Malik, J. Cao, Hamilton-connectedness and Hamilton-laceability of planar geometric graphs with applications, AIMS Mathematics, 6(4) (2021) 3947--3973, (SCI, IF 0.882).
  • S. Hayat, H.M A. Siddiqui, M. Imran, H.M. Ikhlaq, J. Cao, On the zero forcing number and propagation time of oriented graphs, AIMS Mathematics, 6(2) (2020) 1833–1850, (SCI, IF 0.882).
  • S. Hayat, S. Khan, A. Khan, M. Imran, Distance-based topological descriptors for measuring the π-electronic energy of benzenoid hydrocarbons with applications to carbon nanotubes, Mathematical Methods in the Applied Sciences. (2020) DOI: 10.1002/mma.6668 (SCI, IF 1.626).
  • J. Zhao, J.-B. Liu, S. Hayat, Resistance distance-based graph invariants and the number of spanning trees of linear crossed octagonal graphs, Journal of Applied Mathematics and Computing, 63 (2020) 1–27, (SCI, IF  1.242).
  • S. Hayat, M, Imran, J.-B. Liu, Correlation between the Estrada index and π-electronic energies for benzenoid hydrocarbons with applications to boron nanotubes, International Journal of Quantum Chemistry, vol. 116(23) (2019), e26016, (SCI, IF 2.263) .
  • S. Hayat, H.M.A. Siddiqui,  A. Khan, M. Imran, A. Razzaq, J.-B. Liu, Resolvability and fault-tolerant resolvability structures of convex polytopes, Theoretical Computer Sciences, 796C (2019)  114--128, (SCI, IF: 0.718)
  • S. Hayat, J. Koolen, M. Riaz, A spectral characterization of the s-clique extension of the square grid graphs, European Journal of Combinatorics, 76 (2019) 104–116, (SCI, IF 0.911).
  • H. Raza, S. Hayat, X.-F. Pan, On the fault-tolerant metric dimension of certain interconnection networks, Journal of Applied Mathematics and Computing, 60 (2019) 517–535, (SCI, IF  1.242).
  • H. Raza, S. Hayat, M. Imran, X.-F. Pan, Fault-tolerant resolvability and extremal structures of graphs, Mathematics, 7 (2019) 78, (SCI, IF 1.105).
  • S. Hayat, S. Wang, J. Liu, Valency-based topological descriptors of chemical networks and their applications, Applied Mathematical Modelling, 60 (2018) 164–178, (SCI, IF 2.841).
  • H. Raza, S. Hayat, X.-F. Pan, On the fault-tolerant metric dimension of convex polytopes, Applied Mathematics and Computation, 339 (2018) 172–185, (SCI, IF 3.092).
  • H. Raza, S. Hayat, X.-F. Pan, Binary locating-dominating sets in rotationally-symmetric convex polytopes, Symmetry, 10 (2018) 727, (SCI, IF 2.143).
  • S. Hayat, M. Javaid, J. Koolen, Graphs with two main and two plain eigenvalues, Applicable Analysis and Discrete Mathematics, 11 (2017) 244–257, (SCI, 0.967).
  • S. Hayat, Computing distance-based topological descriptors of complex chemical networks: New theoretical techniques, Chemical Physics Letters, 688 (2017) 51–58, (SCI, 1.901).
  • S. Hayat, J. Koolen, F. Liu, Z. Qiao, A note on graphs with exactly two main eigenvalues, Linear Algebra and its Applications, 511 (2016) 318–327, (SCI, IF 0.977).
  • J. Koolen, S. Hayat, Q. Iqbal, Hypercubes are determined by their distance spectra, Linear Algebra and its Applications, 505 (2016) 97–108, (SCI, IF 0.977).
  • J. Koolen, S. Hayat, Q. Iqbal, Corrigendum to “Hypercubes are determined by their distance spectra”, Linear Algebra and its Applications, 506 (2016) 628-629, (SCI, IF 0.977).
  • S. Hayat, M. Imran, Computation of topological indices of certain networks, Applied Mathematics and Computation, 240 (2014) 213–228, (SCI, IF 3.092).
  • M. Imran, S. Hayat, M.Y.H. Malik, On topological indices of certain interconnection networks, Applied Mathematics and Computation, 244 (2014) 936–951, (SCI, IF 3.092).

 

 

Review Activities


Referee of the following  journals:

  • Mathematical Reviews-American Mathematical Society (2018-present)
  • Discrete Mathematics (Elsevier–SCI)
  • Graphs and Combinatorics (Springer–SCI)
  • Journal of Combinatrial Optimization (Springer-SCI)
  • Linear and Multilinear Algebra (Taylor & Francis–SCI)
  • IEEE Transactions on Pattern Analysis and Machine Intelligence (IEEE--SCI)
  • Theoretical Computer Science (Elsevier-SCI)
  • Journal of Inequalities and Applications (Springer–SCI)
  • Applied Mathematics and Computation (Elsevier–SCI)
  • Journal of Applied Mathematics and Computing (Springer–SCI)
  • Indian Journal of Pure and Applied Mathematics (Springer--SCI)
  • Ain Shams Engineering Journal (Elsevier–SCI)
  • Advances in Mathematics of Communications (AIMS--SCI)
  • Mathematical Problems in Engineering (Hindawi--SCI)
  • AIMS Mathematics (AIMS--SCI)
  • IEEE Access (IEEE–SCI)
  • Arabian Journal of Chemistry (Elsevier–SCI)
  • Theoretical Chemistry Accounts (Springer--SCI)
  • Frontiers in Physics (Frontiers--SCI)
  • Zeitschrift für Naturforschung A (De Gruyter–SCI)
  • Taiwanese Journal of Mathematics (Mathematical Society of China–SCI)
  • Journal of Molecular Structure (Elsevier-SCI)
  • International Journal of Quantum Chemistry (Wiley--SCI)
  • Journal of Cluster Science (Springer–SCI)
  • Journal of Physical Organic Chemistry (Willey--SCI)
  • Mechanics of Advanced Materials and Structures (Taylor & Francis–SCI)
  • Polycyclic Aromatic Compounds (Taylor & Francis–SCI)
  • Canadian Journal of Chemistry (NRC Research Press–SCI)
  • Fullerenes, Nanotubes and Carbon Nanostructures (Taylor & Francis–SCI)
  • Ars Combinatoria (Winnipeg: Utilitas Mathematica Publishing Inc.–SCI)
  • Utilitas Mathematica (Winnipeg: Utilitas Mathematica Publishing Inc.–SCI)
  • Optoelectronics & Advanced Materials-Rapid Communications (INOE–SCI)
  • Journal of Chemistry (Hindawi–SCI)
  • Kuwait Journal of Science (Academic Publication Council–SCI)
  • Applied Sciences (MDPI-SCI)
  • AKCE International Journal of Graphs and Combinatorics (Elsevier–ESCI)

 

Research Presentations


Presented papers in the following conferences/workshops:

  • A spectral characterizaton of the s-clique extension of the square grid graphs, The 27th British Combinatrial Conference, University of Birmingham, UK, 29 July to 02 August, 2019
  • Graphs with two main eigenvalues and generalized adjacencny matrices, The 18th AHU-USTC Joint Workshop on Algebraic Combinatorics, Anhui University, China, June 22, 2019.
  • Co-edge-regular graphs which are cospectral with the s-clique extension of the square grid graphs, The 12th AHU-USTC Joint Workshop on Algebraic Combinatorics, Anhui University, China, Dec. 2, 2017.
  • Graphs with exactly two main eigenvalues, Ninth Shanghai Conference on Combinatorics, Shanghai Jiao-Tong University, China, May 24–28, 2017.
  • Hypercubes are determined by their distance spectra, International Workshop on Algebraic Combinatorics, Anhui University, China, Oct. 28-31, 2016.
  • Some results in spectral graph theory, 7th Anhui-USTC Joint Seminar on Algebraic Combinatorics, University of Science and Technology of China, China, Sept. 24, 2016.
  • Hypercubes are determined by their distance spectra, International Workshop on Network Topologies, Tsinghua-Sanya International Mathematical Forum, China, Jul. 11-15, 2016.
  • On topological indices of certain chemical graphs, International Workshop on Discrete Structures, National University of Sciences and Technology, Mar. 5–7, 2014.

 



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