DEPARTMENT OF Basic Science and Humanities

Educational qualification                                                                            

• MPhil, Futures Studies, University of Kerala
• MSc, Mathematics, University of Kerala

Area of Research

• Graph theory

Research papers published

1. Jacob, M. Changat, (2023), Segment Transit Function of the Induced Path Function of Graphs and Its First-Order Definability, In Indian Conference on Logic and Its Applications, pp. 117–129. Cham: Springer Nature Switzerland, http://doi.org/10.1007/978-3-031- 26689-8_9.
2. Jacob, M. Changat, L. K. Sheela, A. Rasheeda S. and A. Udaya A., (2023)Axiomatic characterization of the interval function of partial cubes and partial Hamming graphs, AKCE International Journal of Graphs and Combinatorics,

http://doi.org/10.1080/09728600.2023.2245455

3. Jacob, M. Changat, (2023), First-order logic with metric betweenness–the case of non-definability of some graph classes, AKCE International Journal of Graphs and Combinatorics, 1-6, http://doi.org/ 10.1080/09728600.2023.2282105.
4. Chalopin, M. Changat, V. Chepoi, J. Jacob, First-order logic axiomatization of metric graph theory, Theoretical Computer Science, 114460, https://doi.org/10.1016/j.tcs.2024.114460
5. K. Sheela, M. Changat, J. Jacob, (2024). The Weak-Toll Function of a Graph: Axiomatic Characterizations and First-Order Non-definability. In: Kalyanasundaram, S., Maheshwari, A. (eds) Algorithms and Discrete Applied Mathematics. CALDAM 2024. Lecture Notes in Computer Science, vol 14508. Springer, Cham. https://doi.org/10.1007/978-3-031-52213-0_20.

Research papers presented

1. “An extended first order graph language using the interval function” in the National Conference on Advances in Graph Theory and Combinatorics (NCAGTC-2018) organized by Department of Mathematics, St. Stephen’s College, Pathanapuram, Kerala from 27/09/2018 to 28/09/2018.
2. “First-order definability of segment transit function on graphs: interval function & induced path function” in the Conference on Metric Graph Theory and Related Topic (MGT 2021) organized by Laboratoire d’Informatique et Systemes-LIS-UMR CNRS 7020, Aix Marseille Universite, France, from 6/12/2021 to 10/12/2021.
3. “First-order nondefinability of some graphs with respect to metric betweenness in graphs” in the International Seminar on Algebra and Discrete Mathematics organized by the Department of Mathematics, St. Berchmans College, Changanassery, Kerala, from 12/12/2022 to 14/12/2022.
4. “First-Order Logic with Metric Betweenness – The Case of Non-definability of Some Graph Classes” in the International Conference on Recent Advances in Graph Theory and Allied Areas (ICRAGAA 2023), organized by the Department of Mathematics, St. Aloysius College, Elthuruth, Thrissur, Kerala, from 02/02/2023 to 04/02/2023.
5. “Segment Transit Function of the Induced Path Function of Graphs and Its First-Order Definability” in the 10th Indian Conference on Logic and its Applications (ICLA 2023), IIT, Indore, India, from 03/03/2023 to 05/03/2023.
6. First Order non-Definability of Some Transit Functions on Graphs” in the International Conference on Graph Theory and its Application (ICGTA 2023), organized by Department of Mathematics, School of Engineering, Amritha Vishwa Vidyapeetham, Coimbatore, from 18/12/2023 to 20/12/2023.