Dr. Jeba Raj T.

Personal & Qualifications

Teaching Experience	18 Years
Research Experience	14 Years
Languages Known	Tamil, English
Books Authored	Engineering Mathematics II

M.Sc., M.Phil., Ph.D.	Manonmaniam Sundaranar University
SET	Qualified
Research Dissertations Title	Various Distance Related Parameters in Graph

Research Focus & Guidance

Area of Specialization: Graph Theory – Geodetic Number, Double Geodetic Number, Fault Tolerant Geodetic Number, Total Split Double Geodetic Number, Co‑even Geodetic Number, and related distance parameters.

Research Supervision (M.S. University):

Ph.D. Awarded – 02
Ph.D. Submitted – 01
Ph.D. Ongoing – 04

Academic Responsibilities

Assistant Professor, Department of Mathematics (2008 – till date)
Research Supervisor, Manonmaniam Sundaranar University
Member, Board of Studies in Mathematics

International Publications (18)

Double Geodetic number of graph (with A.P. Santhakumaran), Discussiones Mathematicae Graph Theory, 32(2012) 109-119.
The Upper Double Geodetic Number of a graph (with A.P. Santhakumaran), Malaysian Journal of Science, 30(3) 225-229 (2011).
The linear Geodetic number of a graph (with A.P. Santhakumaran), Discrete Mathematics, Algorithms and Applications (World Scientific), Vol. 3, No. 3 (2011), 357-368.
The Linear edge geodetic graphs (with A.P. Santhakumaran), Journal of Applied Mathematics & Informatics, 30(2012), No. 5-6, 871-882.
The m-detour hull number of a graph (with A.P. Santhakumaran), Journal of Combinatorial Mathematics and Combinatorial Computing, 84(2013), 155-165.
The connected double geodetic number of a graph, Journal of Applied Mathematics & Informatics, 39 (2021), 155-163.
The Vertex geodetic number of Cartesian product graph (Communicated).
The total double geodetic number of a graph, Proyecciones, 39(2020), 167-178.
Total Split Double Geodetic Number of a Graph, Stochastic Modeling and Applications, 2021(1704-1710).
Upper Total Split Double Geodetic Number of a graph, Advances and Applications in Mathematical Sciences, (2022), 6783-6791.
Geodetic Resolving Degree- Based Topological Indices of a Graph, Material Science and Technology, (2022) 211-220.
Geodetic Resolving Number of Some Cycle Related Graphs, European Chemical Bulletin, (2023) 1375-1385.
Restrained Double Geodetic Number of a Graph, Stochastic Modeling and Applications, (2022) 102-108.
Co-even Geodetic Number of a Graph, Ratio Mathematica, (2022) 332-339.
Average Geodetic Number of some Special Graphs, Material Science and Technology, (2022), 201-210.
Double geodetic number of a line graph, Mapana journal of Sciences, (2023) 33-40.
The Upper and Forcing Fault Tolerant Geodetic Number of a Graph, Ratio Mathematica, (2022), 167-174.
The Fault Tolerant Geodetic Number of Total and Middle Number of a graph, European Chemical Bulletin, (2023) 1672-1679.

*All papers are published in peer-reviewed international journals.

Paper Presentations

National Conference on Theoretical Computer Science and Discrete Mathematics – Kalasaligam University, Virudhunagar (Jan 9-11, 2012).
National Conference on Graph Theory Generalizations and Applications – Sastra University, Thanjavur (Aug 20-21, 2012).
National Conference on Recent Trends in Graph Theory and Applications – St. Xavier's College (Aut.), Palayamkottai (Feb 24-25, 2011).
International Conference on Applied Mathematics and Theoretical Computer Science – St. Xavier's College, Chunkankadai (Feb 1-3, 2018).

Workshops & Conferences Attended

International Conference on Graph Theory – University of Kerala (2019).
National Seminar on Emerging Trends in Graph Theory – Scott Christian College (2023).
Faculty Development Programme on Graph Labelings – St. Xavier's College, Palayamkottai (2024).
Research Methodology Workshop – Manonmaniam Sundaranar University (2023).

Awards & Recognitions

Best Research Paper Award – International Conference on Applied Mathematics, 2018.
University Rank Holder – M.Sc. Mathematics.
SET Qualified – State Eligibility Test for Assistant Professor.
Recognized Research Supervisor – Manonmaniam Sundaranar University.

Professional Memberships

Life Member – Indian Mathematical Society (IMS).
Member – International Society for Graph Theory and Combinatorics.

Faculty Profile