Head of the Department

Dr Fouzul Atik

Department of Mathematics

Interests

  1. Spectral Graph Theory
  2. Matrix Theory

Education

2010

University of Burdwan
India
Bachelors

2012

Indian Institute of Technology Kharagpur
India
Masters

2017

Indian Institute of Technology Kharagpur
India
Ph.D.

Experience

  • July 2017-July 2018, Postdoctoral Fellow, Stat-Math Unit, Indian Statistical Institute | Delhi Centre, New Delhi, 110 016, India

Research Interest

  • Distance and Distance Signless Laplacian Spectra of Graphs.
  • Spectra of Resistance matrices of Graph.
  • Eigenvalue Localisation Problem.

Awards & Fellowships

  • 2010-2012, Institute MSc Fellowship, Indian Institute of Technology Kharagpur
  • 2012-2017, Institute PhD Fellowship, Indian Institute of Technology Kharagpur
  • 2017-2018, Institute Postdoctoral Fellowship, Indian Statistical Institute, Delhi Center.
  • 2017, National Postdoctoral Fellowship, Department of Science and Technology, Govt. of India.
  • 2018, NBHM Postdoctoral Fellowship, National Board of Higher Mathematics, India

Publications

Journal Papers (Indexed)

  • Detour Distance Laplacian Matrices for Signed Networks, K Biju, K Shahul Hameed, Fouzul Atik, Accepted for publication in Discrete Mathematics, Algorithms and Applications.
  • Eigenvalue localization and Gergsorin disc-related problems on distance and distance-related matrices of graphs, Asian-European Journal of Mathematics, Fouzul Atik, Priti Prasanna Mondal, DOI:10.1142/S1793557123500717.
  • On the distance spectra of m-generation n-prism graph, AKCE International Journal of Graphs and Combinatorics, Fouzul Atik, Priti Prasanna Mondal, Firdoshi Parveen, Vol 19 (3), 276-281 (2022).
  • Performance Analysis of Consensus Algorithms over Prism Networks Using Laplacian Spectra, IEEE Networking Letters, S. Dhuli, F. Atik, F. Parveen, O.J. Pandey, (2022), DOI: 10.1109/LNET.2022.3181203
  • On distance and Laplacian matrices of trees with matrix weights, Linear and Multilinear Algebra, F. Atik, M. Rajesh Kannan and Ravindra B. Bapat, Vol 69:14, 2607-2619, 2021.
  • On equitable partition of matrices and its applications, Linear and Multilinear Algebra, F. Atik, Vol 68:11, 2143-2156, 2020.
  • Identities for minors of the Laplacian, resistance and distance matrices of graphs with arbitrary weights, Linear and Multilinear Algebra, P. Ali, F. Atik and R. B. Bapat, Vol 68:2, 323-336, 2020.
  • Resistance matrices of graphs with matrix weights, Linear Algebra and its Applications., F. Atik, Ravindra B. Bapat and M. Rajesh Kannan, Vol 571, 41-57, 2019
  • Bounds on the maximal and minimal entries of the p-norm normalized principal eigenvector of the distance matrix of graphs, Graphs and Combinatorics, F. Atik and P. Panigrahi, Vol 34, 1019-1035, 2018.
  • On the distance and distance signless Laplacian eigenvalues of graphs and the smallest Gersgorin disc, Electronic Journal of Linear Algebra, F. Atik and P. Panigrahi, Vol 34, 191-204, 2018.
  • Spectral radius of power graphs on certain finite groups, Indagationes Mathematicae, S. Chattopadhyay, P. Panigrahi and F. Atik, Vol 29, 730-737, 2018.
  • Graph with few distinct distance eigenvalues irrespective of the diameters, Electronic Journal of Linear Algebra, F. Atik and P. Panigrahi, Vol 29, 194-205, 2016.
  • On the distance spectrum of distance regular graph, Linear Algebra and its Applications., F. Atik and P. Panigrahi, Vol 478, 256-273, 2015

Conference Proceedings

  • Distance spectral radius of k-partitioned transmission regular graph, F. Atik and P. Panigrahi, Lecture Notes in Computer Science, Vol 9602, 26-36, (2016).
  • A Novel Security System for IoT Applications, A. S. Sheikh, K. Annem, S. Dhuli, G. Likhita, BSV N. Jahnavi, and F. Atik. In 2021 12th International Conference on Computing Communication and Networking Technologies (ICCCNT), pp. 1-5. IEEE, 2021.
  • IoT Based Water Level Monitoring System for Dams, A. S. Sheikh, K. Annem, S. Dhuli, G. Likhita, BSV N. Jahnavi, and F. Atik, (ICCCNT), IEEE, IIT Kharagpur, 2021

Patent Published

  • A system for determining the performance of a consensus mechanism for an M-Dimensional scale-free network, V. Sateeshkrishna Dhuli, Fouzal Atik, Firdoshi Parveen and Om Jee Panday, (Application Number: 202241069312 A), The Patent Office Journal No. 52/2022, Dated 30/12/2022.

Conference Paper

  • A Novel Security System for IoT Applications, A. S. Sheikh, K. Annem, S. Dhuli, G. Likhita, BSV N. Jahnavi, and F. Atik. In 2021 12th International Conference on Computing Communication and Networking Technologies (ICCCNT), pp. 1-5. IEEE, 2021.
  • IoT Based Water Level Monitoring System for Dams, V. Aditya, Ch.T.S. Tanishq, C. B. Sai, S. Dhuli and F. Atik, (ICCCNT), IEEE, IIT Kharagpur, 2021.
  • Distance spectral radius of k-partitioned transmission regular graph, F. Atik and P. Panigrahi, Lecture Notes in Computer Science, Vol 9602, 26-36, (2016).

DST-SERB Sanctioned Research Projects as PI

  • I have received a research project from Science and Engineering Research Board, Government of India. The following are the details of the sanctioned project:
    Project Name: Start-up Research Grant (SRG)
    Project Title: Characterization of graphs by spectra of its distance and resistance matrix and some problems related to matrix theory and graph theory.
    File No: SRG/2019/000839
    Budget: 13,00,000 INR
    Duration: 2 years 4 months (Dec 2019-March 2022).

Contact Details

  • E-mail id: atik.f@srmap.edu.in
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