Associate Professor & Research Guide
Department of Mathematics
@ johnkrajanuni-at-gmail.com
# +91-8547552497
Academic Qualifications
- Ph. D. from University of Kerala
- M.Sc. Mathematics from University of Kerala
- M.Ed. from University of Kerala
Area of Interest (Teaching)
- Algebra
- Real Analysis
- Graph Theory
Area of Interest (Research)
- Spectral Graph Theory
Experience
- Associate Professor of Mathematics, University College, Thiruvananthapuram (March 2021- till date)
- Assistant Professor of Mathematics, University College, Thiruvananthapuram (June 2012- February 2021)
- Assistant Professor of Mathematics, KNM Govt.Arts & Science College Kanjiramkulam (November 2011 – June 2012)
- Assistant Professor of Mathematics, Govt. Polytechnic College Neyyattinkara (June 2010 – October 2011)
- Assistant Professor of Mathematics, College of Engineering Thiruvananthapuram (September 2009 – May 2010)
- Assistant Professor of Mathematics, Govt.Polytechnic College Kunnamkulam (March 2007 – September 2009)
Additional Responsibilities
- Member Anti-Narcotic Cell
- Member – ADMA
- Member – Kerala Mathematical Association
Journal Publications
- Some characterizations of proper power graphs of Certain finite groups Advances in Mathematics : Scientific Journal X (2020), UMA H AND MANILAL K no. Z, 1–10 ISSN1857-8365
- Construction of Larger Singular Graphs Using a Path, John K.Rajan, T.K.Mathew Varkey, B.Sunoj, Malaya Journal of Mathematik,8(4,2020)1614-1621.
- Bounds on AG Topological Indices of Some Graph Operations, Teena Liza John, T. K.Mathew Varkey, B.Sunoj, John K.Rajan,Advances in Mathematics;Scientific Journal 9(2020),no.10,8713-8724.
- Heat kernel and Dn,r decomposition of some families of wrakly semi -regular bipartite graphs,K.Manila,K.G.Sreekumar,John K.Rajan, Journal of Mathematics and Comuter Science, 21(2020),69-77.
- On the Spectrum and Energy of Singular Graphs,T.K.Mathew Varkey,John K.Rajan, AKCE International Journal of Graphs and Combinatorics, 16(2019),265-271.
- On the Spectrum and Energy of Concatenated Singular Graphs,T.K.Mathew Varkey, John K.Rajan,Annals of Pure and Applied Mathematics,14(3),2017,555-579.
- On the Spectrum and Energy of Rooted Product of Graphs,,T.K.Mathew Varkey, John K.Rajan, Aryabhatta Journal of Mathematics and Informatics, 9(2),2017,141-161.
- On the Construction of Larger Singular Graphs,,T.K.Mathew Varkey, John K.Rajan, Global Journal of Pure and Applied Mathematics,13(7),2017,2875-2891.
- On the Spectrum and Energy of Coalesced Singular Graphs,T.K.Mathew Varkey, John K.Rajan,Bulletin of Kerala Mathematics Association,13(1),2016,37-50.