Dr. Manilal K.

Former Professor & Research Guide

Department of Mathematics

@  manilalvarkala-at-gmail.com

# +91-9447693678

Academic Qualifications

  • Ph. D. from University of Kerala
  • M Phil. Mathematics from University of Kerala
  • M Sc. Mathematics from University of Kerala
  • B Ed. from University of Kerala

Area of Interest (Teaching)

  • Topology
  • Algebra
  • Real Analysis
  • Complex Analysis
  • Functional Analysis
  • Linear Algebra

Area of Interest (Research)

  • Algebraic Graph Theory


  • Associate Professor of Mathematics, University College, Thiruvananthapuram (June 2018- till date)
  • Assistant Professor of Mathematics, University College, Thiruvananthapuram (June 2008- June 2018)
  • Assistant Professor of Mathematics, Government College for Women, Thiruvananthapuram (June 2006 – June 2008)
  • Lecturer in Mathematics , Government Polytechnic college, Ezhukone (March 2005 – June 2006)
  • Lecturer in Mathematics L B S College of Engineering, Kasargod (July 2003 – July 2005)

Additional Responsibilities

  • Tutor, BSc Mathematics 2019 Admission
  • Member P G Board of studies, University of Kerala.
  • Member Board of studies Fatima Mata National College, Kollam,
  • Member of U G Board of studied of Sree Narayanaguru Open university, Kollam.

Extension Activities

  • Online teaching for PG and U G, Bridge Course in S B College Changanassery

Positions Held

  • Convenor Anti Ragging Cell
  • Convenor- Career Guidance and Counselling Cell
  • Executive Member of PTA

Journal Publications

  • Some characterizations of proper power graphs of Certain finite groupsAdvances in Mathematics : Scientific Journal X (2020), UMA H AND MANILAL K no. Z, 1–10 ISSN1857-8365
  • RANK DECREASING GRAPH OF UPPER TRIANGULAR MATRIX RINGS OVER ZP, Advances in Mathematics: Scientific Journal 9 (2020), no.6, 4277–4286 ISSN: 1857-8365 (printed); 1857-8438
  • Heat kernel and D n,r decomposition of some families of weakly semi-regular bipartite graphs K. Manilal, K. G. Sreekumar ∗ , John K. Rajan, J. Math. Computer Sci., 21 (2020), 69–77,Online: ISSN 2008-949X
  • On the Spectra of Power Graphs of a Special Class of Finite Groups, Uma H , Manilal K ISSN:0971-1260 Vol-22- Issue-14-December-2019
  • Automorphism Groups Of Weakly Semi-Regular, Bipartite Graphs,Sreekumar . K . G,Manilal .K, INTERNATIONAL JOURNAL OF SCIENTIFIC & TECHNOLOGY RESEARCH VOLUME 8, ISSUE 11, NOVEMBER 2019 ISSN 2277-8616
  • Distance matrices and Adjacency Matrices of Some families of Graphs Sreekumar.K.G , Manilal. K, International Journal of Applied Engineering Research ISSN 0973-4562 Volume 14, Number 9 (2019) pp. 2121-2125
  • Algorithm for finding Wiener indices of some families of graphs, Manilal K And Sreekumar K G, Volume 39, Number 6, 18 August 2018, pp. 134a9-1361Journl of Information and Optimization Sciences, publisher: Taylor and Francis Ltd, ISSN 0252-2667
  • Hosoya polynomial and Harary index of SM family of graphs, ournal of Information and optimization Sciences. Manilal K and Sreekumar KG, Volume 39 Number2, March 2018. pp 581-590, ISSN0252-2667
  • n th SM Sum Graphs and Some Parameters, K. G. Sreekumar, Manilal K, International Journal of Mathematical Analysis, Vol. 11, 2017, no. 3, 105 – 113, HIKARI Ltd, www.m-hikari.com
  • The relation between wiener index and Nandu sequence of SM family of Graphs Manilal K.,Sreekumar K G, Global Journal of Pure and Applied Mathematics. ISSN 0973-1768 Volume 13, Number 2 (2017), pp. 215–224
  • Some Parameters of SM family of Graphs, Sreekumar.K.G , Manilal. K, OSR Journal of Mathematics (IOSR-JM),e-ISSN: 2278-5728, p-ISSN: 2319-765X. Volume 12, Issue 6 Ver. II (Nov. – Dec.2016), PP 07-13
  • n th SM Balancing Graphs and some of its parameters,nternational Journal of Computer and Mathematical Sciences,IJCMS, ISSN 2347-8527, Volume 5, Issue 10, October 2016, Manilal K and Sreekumar K G
  • Some Generalities on Power Graphs, and Strong Power Graphs, G. Suresh Singh and Manilal K,Int. J. Contemp. Math. Sciences, Vol. 5, 2010, no. 55, 2723 – 2730