Dr. Yogendra Singh

Designation: Assistant Professor

Biography:

Dr. Yogendra Singh is an Assistant Professor of Mathematics whose research interests include topological graph theory, algebraic graph theory, and spectral graph theory. He received his Ph.D. in Mathematics from the Indian Institute of Information Technology Allahabad (IIIT Allahabad) in 2024. His research focuses on the spectral properties of power graphs of finite groups, doubly semi-equivelar maps, and Hosoya polynomials, with applications to algebraic and topological graph theory. He has authored several research articles published in reputed SCIE-indexed international journals and continues to contribute actively to research in graph theory and its applications.

  • Ph.D. in Mathematics, IIIT Allahabad (2018–2024)
  • M.Sc. in Mathematics, DDU Gorakhpur University, Gorakhpur (2013–2015)
  • B.Sc. in Mathematics, DAVPG College, Gorakhpur (2010–2013)

  • Assistant Professor, Vignan’s Foundation for Science, Technology and Research (VFSTR), Guntur, Andhra Pradesh (September 2023 – May 2026)
  • Assistant Professor, Shambhunath Institute of Engineering and Technology (SIET), Prayagraj, Uttar Pradesh (January 2023 – August 2023)

  • Topological Graph Theory
  • Spectral Graph Theory
  • Algebraic Graph Theory
  • Combinatorial Topology

  1. A. Singh, Y. Singh, A. K. Tiwari, Distance spectra of power graphs over metacyclic groups, Indian Journal of Pure and Applied Mathematics, 2026. DOI:10.1007/s13226-026-00964-0. (SCIE)
  2. Y. Singh, A. Singh, A. K. Tiwari, On the Hosoya Polynomial of Joined Union Graph: Theory and Code, National Academy Science Letters, 2026. DOI:10.1007/s40009-025-01917-7. (SCIE)
  3. Y. Singh, A. K. Tiwari, S. Kushwaha, Hamiltonicity of doubly semi-equivelar maps on the torus, Analele Științifice ale Universității Ovidius Constanța, Seria Matematică, 2026. DOI: 10.2478/auom-2026-0013. (SCIE)
  4. A. Singh, Y. Singh, A. K. Tiwari, S. Pirzada, On the Aα matrix over finite metacyclic groups, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2025. DOI: 10.1007/s40010-025-00933-y. (SCIE)
  5. Y. Singh, A. K. Tiwari, M. Pandey, F. Ali, On the power graph of Gyrogroup, Asian European Journal of Mathematics, 2025. DOI: 10.1142/S1793557125400121. (ESCI/Scopus)
  6. A. K. Tiwari, Y. Singh, A. Tripathi, 2-semi equivelar maps on the torus and the Klein bottle with few vertices, Communications in Combinatorics and Optimization, 10(4), 877–904, 2024. DOI: 10.22049/cco.2024.29269.1919. (ESCI/Scopus)
  7. Y. Singh, A. K. Tiwari, Enumeration of doubly semi-equivelar maps on the Klein bottle, Indian Journal of Pure and Applied Mathematics, 56, 571–594, 2023. DOI: 10.1007/s13226-023-00503-1. (SCIE)
  8. Y. Singh, A. K. Tiwari, Doubly semi-equivelar maps on the plane and the torus, AKCE International Journal of Graphs and Combinatorics, 19(3), 296–310, 2022. DOI: 10.1080/09728600.2022.2146549. (SCIE)
  9. A. K. Tiwari, A. Tripathi, Y. Singh, P. Gupta, Doubly Semi-equivelar Maps on Torus and Klein Bottle, Journal of Mathematics, 2020, DOI: 10.1155/2020/5674172. (SCIE)

  1. On the Hosoya Polynomial of Joined Union Graphs, Recent Advances in Computational Mathematics and Allied Sciences (RACMAS-2026), Shri Mata Vaishno Devi University, India, January 21–23, 2026.
  2. On the Aα and RDα Spectrum of Power Graph over Certain Group, 88th Annual Conference of The Indian Mathematical Society: An International Meet, BIT Mesra, India, December 27–30, 2022.
  3. Doubly Semi-equivelar Maps on the Plane, Conference on Mathematics and its Application in Science (NCMAS-2022), Uttarakhand Open University, India, December 22–23, 2022.
  4. A Generalization of 2-uniform Maps on the Torus, 27th International Conference of International Academy of Physical Sciences on Recent Advances in Pure and Applied Algebra (RAPAA), NIT Jamshedpur, India, October 26–28, 2021.
  5. Doubly Semi-equivelar Maps, 3rd International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2020), NIT Jamshedpur, India, December 21–22, 2020.

Bridging Algebra and Topology Through Power Graphs – Research project proposal submitted to the National Board for Higher Mathematics (NBHM), Department of Atomic Energy, India, as Principal Investigator (January 2025; under review).

  1. International Faculty Development Programme (IIT Guwahati, 2025)
  2. NEP 2020 Orientation Programme (IIT Kharagpur, 2025)
  3. FDP on AI, Data Science & Modeling (IIT Roorkee, 2024)
  4. Annual Foundation Schools-1, IIT Kanpur (2018)
  5. Annual Foundation Schools-2, Central University of Rajasthan (2018)

  • CSIR-UGC NET AIR 81 (June 2017)
  • CSIR-UGC NET AIR 76 (June 2018)
  • CSIR-UGC NET AIR 75 (December 2018)