Dr.K.Kaliraj , M.Sc., M.Phil.,Ph.D.
Assistant Professor
Specialization :

Graph Theory and Differential Equation

Contacts :
Ramanujan Institute for Advanced Study in Mathematics,
University of Madras,
Chennai 600005.
Plot No:29, Second Floor-S2, 2nd Street,
Muthuyal Reddy Nagar,
Adambakkam, Chennai-600 088.
Tamilnadu, India.
Phone: Off : +91-44-2533 3381, Mobile: 7598554577, 919940998443
E-Mail: kaliraj@unom.ac.in,  k_kaliraj@yahoo.com,
Title : Equitable Coloring of Graphs
Duration : 2014-17
Funding Agency : DST - PURSE (Phase-II)
Amount Sanctioned (in Lakhs.) : 2
  1. On Equitable Coloring of Knodel Graphs, Kaliraj.K, J.Vernold Vivin, Akbar Ali.M.M, International Journal of Computer Mathematics, 91/Taylor and Francies, (2013), 1428-1433
  2. On Equitable Coloring of Sun let graph Families, K.Kaliraj, J.Vernold Vivin, M.M.Akbar Ali, Ars Combinatoria, 103, (2012), 497-504
  3. Equitable coloring of corona products of graphs, H. Furmanczyk, Kaliraj K, M. Kubale, J.Vernold Vivin, Advances and Applications of Discrete Mathematics, 11(2), (2013), 103-120
  4. Equitable Coloring on Corona graph of graphs, K.Kaliraj, J.Veninstine Vivik, J.Vernold Vivin, Journal of Combinatorial Mathematics and Combinatorial Computing, 81, (2012), 191-197
  5. Harmonious Coloring on Double Star Graph Families, M.Venkatachalam, J.Vernold Vivin, K.Kaliraj, Tamkang Journal of Mathematics, 43-2, (2012), 153-158
  6. Equitable Coloring on total graph of bigraphs and central graph of cycles and paths, J.Vernold Vivin, K. Kaliraj, M. M. Akbar Ali, International Journal of Mathematics and Mathematical Sciences, 2011, (2011), 1-5
  7. On Equitable Coloring of Helm and Gear Graph, Vol.4 (2010), pp. 32-37., K.Kaliraj, J.Vernold Vivin, International Journal of Mathematical Combinatorics, 4, (2010), 32-37
  8. On Equitable Coloring of Central Graphs and Total Graphs, M.M.Akbar Ali, Kaliraj, J.Vernold Vivin, Electronic Notes in Discrete Mathematics, 33, (2009), 1-6
  9. On Harmonious Coloring of Total Graph of C(Cn), C(K1,n) and C(Pn ), J. Vernold Vivin, M.M.Akbar Ali, K. Kaliraj, Proyecciones Journal of Mathematics, 21-1, (2010), 57-74
  10. Equitable Coloring on Mycielskian of Wheel graph and Bigrahps, K.Kaliraj, J.Vernold Vivin, M.M.Akbar Ali, Applied Mathematics E-Notes, 13, (2013), 174-182
  11. On Equitable Coloring of Wheel Graph Families, J.Vernold Vivin, K.Kaliraj, Proceedings of International Conference on Mathematical and Computational Models, ICMCM 09, (2009), 248-251
  12. Cycle Multiplicity of Middle Graph of Cn, Pn, and K1,n,, Akbar Ali.M.M, S.Panayappan, K.Kaliraj, J.Vernold Vivin, Proceedings of National Conference on Mathematical and Computational Model, Narosa Publication, (2007), 176-181
Seminar / Conference / Workshop :
  • Participated in the UGC SPONCERED ORIENTATION PROGRAMME,BATCH-118 , held at University of Madras, from 05-11-2014 to 02-12-2014 and obtained Grade A.
Research Guidence
Ph.D Awarded
Ph.D Students
M.Phil Awarded 1
M.Phil Students 2
Reviewers in Journals
Reviewer, Mathematical Reviews, American Mathematical Society, USA