Malankara Catholic College
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Faculty Profile

Dr. K. Vijila Dafini

Dr. K. Vijila Dafini

M.Sc., M.Phil., Ph.D., SET | Assistant Professor
kdafini@gmail.com
+91 9655507775
Dept of Mathematics, Malankara Catholic College, Mariagiri, Kaliakkavilai - 629153
Graph Theory 7 Publications 20 Years Experience

Personal & Qualifications

Teaching Experience20 Years
Research Experience15 Years
Languages KnownTamil, English
Area of SpecializationGraph Theory
M.Sc., M.Phil., Ph.D.Manonmaniam Sundaranar University
SETQualified
Research FocusGeodetic Sets, Geodetic Polynomials, Topological Indices

Research Focus

Area of Specialization: Graph Theory – Geodetic Sets, Geodetic Polynomials, Topological Indices of Nanostructures, Line Graphs, Fan Graphs, Web Graphs, Tensor Product, and Total Graph of Path.

Academic Responsibilities

  • Assistant Professor, Department of Mathematics (2005 – till date)

International Publications (7)

  1. A. Vijayan and K. Vijila Dafini, "On geodetic sets and geodetic polynomial of Wheels and Paths", International J. of Math. Sci. & Engg. Appls. (IJMSEA), 0973-9424, Vol 6 No.III (May 2012), pp.123-137.
  2. A. Vijayan and K. Vijila Dafini, "On geodetic sets and geodetic polynomial of Centipede", International Journal of mathematical Archive-3(5), 2012, 1885-1894.
  3. A. Vijayan and K. Vijila Dafini, "On geodetic polynomial of Graphs with Extreme vertices", International Journal of mathematical Archive-3(6), 2012, 1-8.
  4. K. Vijila Dafini, "Edge geodetic polynomial of Graphs", Crossian Resonance A Multidisciplinary Research Journal, ISSN 0976-5417, Vol-7 No.1 June 2016, 99-103.
  5. Dr. Little Flower M and Dr. K Vijila Dafini, "Computation of Topological Indices of Double and Strong Double Graphs of Chain Silicate (CS_n)", NeuroQuantology, December 2022, Volume 20, Issue 20, Page 2749-2760, doi: 10.48047/NQ.2022.20.20.NQ109268.
  6. Dr. K Vijila Dafini, Dr. M Little Flower, Dr. X. Lenin Xaviour, "On Sanskruti Index of the Line Graphs of Certain Nanostructures", International Journal of Science and Research (IJSR) ISSN: 2319-7064 SJIF (2022): 7.942.
  7. Dr. K Vijila Dafini, Dr. A. Vijayan, "On Geodetic Sets and Geodetic Polynomials of Fan Graphs", Journal of Research in Applied Mathematics, Volume 9-Issue I(2023) pp:01-08.

Paper Presentations

  • "On Geodetic polynomials of Tensor Product and Total Graph of Path" – National Conference on Emerging Trends in Mathematics and Its Applications, Noorul Islam Centre for Higher Education, Kumaracoil (Oct 30-31, 2019).
  • "On Geodetic Sets and Polynomial of Web Graphs" – National Seminar on Recent Trends in Algebra and Graph Theory, Nanjil Catholic College of Arts and Science, Kaliyakkavilai (Feb 20, 2020).

Workshops & Conferences Attended

  • International Conference on Graph Theory – University of Kerala (2018).
  • National Seminar on Emerging Trends in Graph Theory – Scott Christian College (2022).
  • Faculty Development Programme on Graph Labelings – St. Xavier's College, Palayamkottai (2023).
  • Research Methodology Workshop – Manonmaniam Sundaranar University (2021).

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.

Professional Memberships

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