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Faculty Profile

Dr. C. David Raj

Dr. C. DAVID RAJ

M.Sc., M.Phil., Ph.D. | Associate Professor
davidrajmccm@gmail.com
+91 9487431903
Dept of Mathematics, Malankara Catholic College, Mariagiri, Kaliakkavilai - 629153
Graph Theory 36 Publications

Personal & Qualifications

Teaching Experience25 Years
Research Experience16 Years
Ph.D. Guidance4 Awarded | 4 Pursuing
Technical SkillsC, C++
M.Sc.Mathematics, Manonmaniam Sundaranar University (1999)
M.Phil.Mathematics, Manonmaniam Sundaranar University
Ph.D.Mathematics, Manonmaniam Sundaranar University
B.Ed.Mathematics, M.S. University
Languages KnownTamil, English

Research Focus

Area of Specialization: Graph Theory, Harmonic Mean Labeling, Radio Labeling

Ph.D. Thesis: A study on Harmonic Mean labeling of Graphs

Approved Research Supervisor in Mathematics, M.S. University. Produced 4 Doctorates, currently guiding 4 scholars.

Academic Responsibilities

  • Associate Professor, Department of Mathematics (2000 – till date)
  • Research Guide, M.S. University
  • Member, Board of Studies in Mathematics
  • Coordinator for various academic committees

Ph.D. Scholars

#Name of ScholarStatus
1K. SunithaAwarded
2Brindha Mary V. T.Awarded
3K. Chinju KrishnaAwarded
4T. Mary ShaliniAwarded
5Jebitha Johnsy. J. EPursuing
6Asha. U. RPursuing
7Bensica CPursuing

International Publications (36)

  1. C. Jayasekaran, S.S. Sandhya and C. David Raj, "Harmonic Mean Labeling on Double Triangular snakes", International Journal of Mathematics Research, Vol. 5(2) (2013), 251-256.
  2. C. David Raj, S.S. Sandhya and C. Jayasekaran, "One Modulo Three Harmonic mean labeling of Graphs", International Journal of Mathematics Research, Vol. 5(4) (2013), 411-422.
  3. S.S. Sandhya, C. Jayasekaran and C. David Raj, "Harmonic Mean Labeling of Degree Splitting graph", Bulletin of Pure and Applied Sciences (Math and Stat.), Vol. 32 E(1) (2013), 99-112.
  4. S.S. Sandhya, C. David Raj and C. Jayasekaran, "Some New Results on Harmonic Mean graphs", International Journal of Mathematical Archive, 4(5)(2013), 1-6.
  5. S.S. Sandhya, C. Jayasekaran and C. David Raj, "Some New Families of Harmonic Mean graphs", International Journal of Mathematics Research, Vol. 5(2)(2013), 223-232.
  6. C. Jayasekaran, M. Regees and C. David Raj, "Edge Trimagic Labeling of some graphs", International Journal of Computer technology and applications, Vol.6(2)(2013), 175-186.
  7. C. David Raj, C. Jayasekaran and S.S. Sandhya, "Harmonic Mean Labeling on Double Quadrilateral Snake Graph", Global Journal of Theoretical and Applied Mathematics Sciences, Vol. 3(2)(2013), 67-72.
  8. C. David Raj and C. Jayasekaran, "Some results on One modulo three harmonic mean graphs", International Journal of Mathematical Archive, Vol. 5(3)(2014), 203-208.
  9. C. David Raj and C. Jayasekaran, "Some Results on Super Harmonic Mean Graphs", International Journal of Mathematics Trends and Technology, Vol. 6(3)(2014), 215-224.
  10. C. David Raj and C. Jayasekaran, "Some more Results on One Modulo Three Harmonic Mean graphs", International Journal of Mathematical Archive, 6(3)(2015), 142-145.
  11. C. David Raj and C. Jayasekaran, "Harmonic mean labeling on some more special types of graphs", Mathematical sciences International Research Journals, Vol.4(2)(2015), 141-143.
  12. C. David Raj, C. Jayasekaran and S.S. Sandhya, "Few Families of Harmonic mean graphs", Journal of Combinatorial Mathematics and Combinatorial Computing, JCMCC96(2016), 235-243.
  13. C. Jayasekaran, C. David Raj and S.S. Sandhya, "Harmonic mean labeling of disconnected graphs", Journal of Discrete Mathematical Sciences and Cryptography, Vol.19, no.1, Feb 2016.
  14. K. Sunitha, Dr. C. David Raj and Dr. A. Subramanian, "Radio Mean square labeling of some cycle related graphs", First international conference on collaborative research in mathematical sciences, 23rd September 2017.
  15. K. Sunitha, Dr. C. David Raj and Dr. A. Subramanian, "Radio Mean labeling of path and cycle related graphs", Global journal of mathematical sciences: Theory and Practical, Vol.9, No.3(2017), 337-345.
  16. Dr. C. David Raj, Dr. A. Subramanian and K. Sunitha, "Radio mean labeling of double triangular snake graph and quadrilateral snake graph", International journal of mathematical archive-8(8), 2017, 80-84.
  17. Dr. C. David Raj, K. Sunitha and Dr. A. Subramanian, "Radio odd mean and even mean labeling of some graphs", International journal of mathematical archive -8(11), 2017, 109-115.
  18. K. Sunitha, Dr. C. David Raj and Dr. A. Subramanian, "Radio labeling of Hurdle graph and Biregular rooted trees", IOSR Journal of mathematics, Vol.13, Issue 5 ver.III (Sep-Oct 2017), 37-44.
  19. C. David Raj, "R-Harmonic labeling of graphs", Journal of computer and mathematical sciences, Vol.10(3), 579-583, March 2019.
  20. C. David Raj, M. Deva Saroja, Brindha Mary V. T., "Radio mean labeling on degree splitting of graphs", The International journal of analytical and experimental modal analysis, Vol.XII, Issue II, Feb 2020.
  21. Chinju Krishna K., David Raj C., Rubin Mary K, "Some Standard results on Even sum graphs", Malaya Journal of Matematik, Vol: 8(4), 2020, 2282-2284.
  22. Brindha Mary V. T., C. David Raj and C. Jayasekaran, "Radio even mean graceful labeling on some special graphs", Malaya Journal of Matematik, Vol: 8(4), 2020, 2323-2328.
  23. Chinju Krishna K., David Raj C., Rubin Mary K, "Path related Even sum graphs", Turkish online journal of Qualitative Inquiry, Vol.12, Issue 7, July 2021, 6341-6344.
  24. Dr. C. David Raj, Dr. K. Rubin Mary, K. Chinju Krishna, "Sum Graphs and its related concepts", International journal of Aquatic science, Vol.12, issue 02, 2021, 126-129.
  25. Brindha Mary V. T., C. David Raj and C. Jayasekaran, "Radio mean graceful labeling on splitting of wheel related graphs", Design Engineering, issue:8, 2021, 16122-16131.
  26. Chinju Krishna K., David Raj C., Rubin Mary K., "Disconnected Even sum graphs", Stochastic Modeling and Applications, Vol.26, no:3, 2022 part:2, 1054-1056.
  27. Chinju Krishna K., David Raj C., Rubin Mary K., "Some results on Even sum ladder graphs", Turkish journal of Physiotherapy and Rehabilitation, Vol.32, Issue 3, 2022, 32682-32684.
  28. Chinju Krishna K., David Raj C., Rubin Mary K., "Some results on Disconnected Even sum graphs", Journal of Fundamental and comparative research, Vol.8, Issue 1(16), 2022, 116-118.
  29. Brindha Mary V. T., C. David Raj and C. Jayasekaran, "Even radio mean graceful labeling on degree splitting of snake related graphs", South East Asian Journal of Mathematics and Mathematical sciences, Vol: 18, no:2 (2022), 197-204.
  30. C David Raj and Brindha Mary V. T., "Radio mean graceful labeling on degree splitting of cycle related graphs", Advances and applications in Mathematical sciences, Vol: 21, no:6 April (2022), 3057-3064.
  31. T. Mary Shalini, C. David Raj and K. Rubin Mary, "Radio Geometric Mean Graceful Labeling on Degree Splitting of Some Special Graphs", Turkish Journal of Computer and Mathematics Education, Vol.11, no. 3 (2020), 2235-2243.
  32. C. David Raj, T. Mary Shalini and K. Rubin Mary, "Radio Geometric Mean Graceful Labeling on Degree Splitting of Cycle related Graphs", Mathematical Statistician and Engineering Applications, Vol.70, no. 2 (2021), 655-663.
  33. T. Mary Shalini and C. David Raj, "Radio Geometric Mean Graceful Labeling on Splitting of Wheel related Graphs", Neuroquantology, Vol.20 (2022), 2874-2881.
  34. C. David Raj, T. Mary Shalini and K. Rubin Mary, "Radio Geometric Mean Graceful Labeling on Degree Splitting of some Graphs", Dogo Rangsang Research Journal, Vol.13, Issue 3 (2023), 55-62.
  35. T. Mary Shalini and C. David Raj, "Radio Even Geometric Mean Graceful Labeling on Splitting of Snake related Graphs", Eur. Chem. Bull, Vol.12 (2023), 4361-4371.
  36. Chinju Krishna K. and David Raj. C, "Some results on Oath Related Even sum graphs", Library Progress International, Vol. 44, no. 3, (2024), 4169-4172.

Paper Presentations

  • "Few Families of Harmonic Mean Graphs" – National Seminar on Emerging Trends in Graph Connections (NCETGC 2014), University of Kerala (Jan 2014).
  • "Harmonic Mean Labeling of Disconnected Graphs" – UGC Sponsored National Conference (IVANO NCAM 2013), Mar Ivanios College (Sep 2013).
  • "Super Harmonic Mean Labeling" – Second International Conference of KAAS 2013, Sree Ayyappa College for Women (Sep 2013).
  • "Harmonic Mean Labeling on Some More Special Type of Graphs" – International Conference on Mathematics, University of Kerala (Nov 2015).
  • "Strict Block Antidiagonal Dominance: H-Matrix Characterization and convergence Analysis of Anti-Jacobi Method" – AAA College of Engineering and Technology (Mar 2026).
  • National Conference on Recent Trends in Algebra and Graph Theory – Malankara Catholic College (2023).

Seminars & Conferences Attended

  • UGC Sponsored National Seminar on Recent Trends in Analysis and Graph theory – St. Jude's College (Jan 2015).
  • National Seminar on Emerging Trends in Graph Connections – University of Kerala (2014).
  • UGC Sponsored National Conference on Emerging Trends in Applied Mathematics – Mar Ivanios College (2013).
  • State level Seminar on Fuzzy Logic and its Applications – Sree Ayyappa College for Women (2013).
  • Second International Conference of KAAS – 2013 (Presented paper).
  • International Conference on Applied Mathematics and Theoretical Computer Science – St. Xavier's College of Engineering (2013).
  • One Day National Seminar on Graph Theory and its Application – St. Xavier's College of Engineering (2012).
  • One Day Seminar on Recent Trends in Mathematics – Manonmaniam Sundaranar University (2004).
  • National Seminar on Recent Trends in Graph Theory – Pioneer Kumaraswamy College (2016).
  • International Conference on Mathematics – University of Kerala (2015).
  • Workshop on Management of Environment and its Resources – Nesamony Memorial Christian College (2020).
  • National Seminar on Re-inventing Quality Assurance – Malankara Catholic College (2020).
  • National webinar on Sustainability of Quality Parameters – Nehru Arts and Science College (2020).

Awards & Recognitions

  • Prof. A.J. Harris Prize – Top rank in II M.Sc Mathematics (1998-99), Nesamony Memorial Christian College.
  • Prof. Vedamuthu Merit Prize – Best student with highest marks in M.Sc Mathematics (1998-99), Nesamony Memorial Christian College.
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