Dr. M. REGEES
M.Sc., M.Phil., Ph.D. | Associate Professor & Head
regeesregees@gmail.com
+91 8089897231
Dept of Mathematics, Malankara Catholic College, Mariagiri, Kaliakkavilai - 629153
Graph Theory
49 Publications
4 PhDs Awarded
Personal & Qualifications
| Teaching Experience | 27 Years |
| Research Experience | 13 Years |
| Ph.D. Guidance | 4 Awarded | 3 Pursuing |
| M.Sc. | Mathematics, Bharathiyar University (1994) |
| M.Phil. | Mathematics, M.S. University (2007) |
| Ph.D. | Mathematics, M.S. University (2015) |
| B.Ed. | Mathematics, M.S. University (1995) |
| H.D.A. | Higher Diploma in Agriculture (1991) |
Research Focus
Area of Specialization: Graph Theory, Fuzzy Modelling and Algebra
Ph.D. Thesis: "Trimagic Labeling of Graphs" β Manonmaniam Sundaranar University, Tirunelveli
M.Phil. Dissertation: "A Study on Antimagic and Sum Graphs"
Approved Research Supervisor in Mathematics, M.S. University. Produced 4 Doctorates, guiding 3 scholars.
Positions & Responsibilities
- Head of the Department of Mathematics (1998 β till date)
- Research Guide, M.S. University (from 2017)
- Core Committee Coordinator for NAAC Preparations (1998-2023)
- Coordinator, Mathematics Research Centre (from 2019)
- Chief Editor for multiple National Conference Proceedings (2023-2025)
Ph.D. Scholars
| # | Name | Reg. Date | Status |
|---|---|---|---|
| 1 | J. A. Jose Ezhil | 10/01/2018 | Awarded |
| 2 | T. Sajitha Kumari | 10/01/2018 | Awarded |
| 3 | L. Merit Anisha | 05/07/2018 | Awarded |
| 4 | Lekshmi I | Oct 2021 | Awarded |
| 5 | Manju M | Oct 2021 | Doing |
| 6 | Breethu Bosco | May 2023 | Doing |
| 7 | Akhil Das Y P | Mar 2025 | Doing |
International Publications (49)
- C. Jayasekaran, M. Regees & C. David Raj, "Edge Trimagic Labeling for Some Graphs" International Journal of Combinatorial Graph Theory and Applications, Vol. 6, No. 2, pp.175-186,2013.
- M. Regees and C. Jayasekaran, "Edge Trimagic Total Labeling of Graphs", International Journal of Mathematical Sciences and Applications, Vol. 3, No. 1. pp. 295- 320, 2013.
- M. Regees and C. Jayasekarn, "More Results on Edge Trimagic Labeling of Graphs", International Journal of Mathematical Archive, Vol. 4, issue 11, pp. 247-255, 2013.
- M. Regees and C. Jayasekaran, "Super Edge Trimagic Total Labeling of Graphs", International Journal of Mathematical Archive, Vol. 4, issue 12, pp. 156-164, 2013.
- M. Regees and C. Jayasekaran, "A-Vertex Consecutive Edge Trimagic Total Labeling of Graphs", International Journal of Mathematical Sciences, Vol. 34, issue 1, pp. 1413-1419, 2014.
- M. Regees & C. Jayasekaran, "Trimagic Labeling in digraphs", Journal of Discrete Mathematical Sciences & Cryptography Vol. 17, issue 4, pp. 321-335, 2014.
- M. Regees & C. Jayasekaran, "Edge Trimagic Total Labeling of Disconnected Graphs" International Journal of Mathematical Trend & Technology, Vol. 6, issue-2, pp. 44-53, 2014.
- M. Regees & C. Jayasekaran, "On a-Vertex Consecutive Edge Trimagic Total Labeling of Some Classes of Graphs", International Journal of Computational and Applied Mathematics, vol. 9, no. 2, 2014.
- M. Regees & C. Jayasekaran, "Edge Trimagic Total Labeling of Disconnected Graphs" International Journal of Mathematical Archive, Vol. 6, issue 7, pp. 152-158, 2015.
- M. Regees and C. Jayasekaran, "Super Edge Trimagic Total Labeling of Generalized Prism and Web Graphs", Journal of Discrete Mathematical Sciences & Cryptography Vol. 19, issue 1, pp. 81-92, 2016.
- M. Regees, "Super Edge Trimagic Total Labeling of Some Star Type Graphs", Journal of Discrete Mathematical Sciences & Cryptography, vol. 20, issue 3, pp. 747-754, 2017.
- M. Regees and J. A Jose Ezhil, "Edge Trimagic Graceful Labeling of Some Graphs", International Journal of Mathematical Archive, Vol. 9, issue 4, pp. 152-158, 2018 (special issue).
- J. A Jose Ezhil, M. Regees & T Shyla Isac Mary, "Edge Trimagic Graceful Labeling Graphs", International Journal of Pure and Applied Mathematics, Vol. 120, issue. 3, pp. 487-496, 2018.
- M. Regees, J A Jose Ezhil and T Shyla Isac Mary, "Super Edge Trimagic Graceful Labeling of Some Graphs", International Journal of Scientific Research and Review, Vol. 7, issue 12, pp. 674-680, 2018.
- A Jose Ezhil, M. Regees & T Shyla Isac Mary, "Edge Trimagic Graceful Labeling of Some Snake Graphs", International Journal of Scientific Research and Review, Vol. 8, issue 4, pp. 280-283, 2019.
- A. Jose Ezhil, M. Regees & T Shyla Isac Mary, "Edge Trimagic Graceful Labeling of Some Disconnected Graphs", International Journal of Research and Analytical Review, vol. 6, no. 1, pp. 662Z-667Z, 2019.
- A. Jose Ezhil, M. Regees and T Shyla Isac Mary, "Edge Trimagic Graceful Labeling of Some Ladder Family Graphs", Adalya Journal, Vol. 8, issue 12, pp. 243-248, 2019.
- T. Sajitha Kumari, M. Regees & S. Chandra Kumar, "Partial Differentiability of Graphs, Malaya Journal of Mathematic", vol. S, no.1, pp. 99-101, 2019.
- T. Sajitha Kumari, M. Regees & S. Chandra Kumar, "Analytic Even Mean Labeling of Path Related Graphs", International Journal of Scientific Research and Review, Vol. 8, issue 4, pp. 505-510, 2019.
- T. Sajitha Kumari, M. Regees & S. Chandra Kumar, "Analytic Even Mean Labeling of Some Corona Graphs", International Journal of Scientific Research and Review, Vol. 8, no. 6, pp. 607-611, 2019.
- A Jose Ezhil, M. Regees and T Shyla Isac Mary, "Edge Trimagic Graceful Labeling of Degree Splitting Graphs", Journal of Shanghai Jiaotong University, Vol. 16, issue 11, pp. 235-238, 2020.
- T. Sajitha Kumari, M. Regees & S. Chandra Kumar, "Analytic Even Mean Labeling of Splitting Graphs," Malaya Journal of Mathematic, Vol. S, issue 1, pp. 515-517, 2020.
- T. Sajitha Kumari, M. Regees & S. Chandra Kumar, "Analytic Even Mean Labeling of Some Graphs", Malaya Journal of Mathematic, Vol. 8, issue 1, pp. 113-115, 2020.
- T. Sajitha Kumari, M. Regees & S. Chandra Kumar, "Some Results on Analytic Even Mean Labeling of Graphs", Advances in Mathematics: Scientific Journal, Vol. 9, issue 4, pp. 211s-212s, 2020.
- T. Sajitha Kumari, M. Regees & S. Chandra Kumar, "Analytic Even Mean Labeling of Square Graphs", Purrakala (UGC Care Journal), Vol. 31, issue. 14, pp. 936-940, 2020.
- M. Regees, L. Merrit Anisha & T. Nicolas, "Edge Magic and Bimagic Harmonious Labeling of Ladder Graphs", Malaya Journal of Mathematic, vol. 8, issue 1, pp. 206-215, 2020.
- L. Merrit Anisha, M. Regees & T. Nicolas, "Super Edge Bimagic Harmonious Labeling of Some Corona Graphs", Malaya Journal of Mathematic, Vol. S, issue 1, pp. 487-490, 2020.
- L. Merrit Anisha, M. Regees & T. Nicolas, "Some Bistar Related Edge Bimagic Harmonious Labeling of Graphs", Advances in Mathematics: Scientific Journal, Vol. 9, issue 4, pp.1713-1718, 2020.
- L. Merit Anisha, M. Regees & T. Nicolas, "Edge Magic and Bimagic Harmonious Labeling of Some Graphs", Purrakala (UGC Care Journal), Vol. 31, issue. 14, pp. 941-953, 2020.
- S L Victoria Jayafin Nisha, V M Arul Flower Mary and M.Regees, "The Minimum Dominating Seidel Energy of Some Graphs", Design Engineering (Toronto), Issue 6, pp.3145-3152, 2021. (IF - 1.409)
- S L Victoria Jayafin Nisha, V M Arul Flower Mary and M.Regees, "Minimum Dominating Distance Energy of Some Cycle Related Graphs", The International Journal of Analytical and Experimental Modal Analysis, 2021.
- S L Victoria Jayafin Nisha, V M Arul Flower Mary and M.Regees, "The Minimum Dominating Energy of Star Related Graphs", Adalya Journal, Vol.10, no. 7, pp. 36-42, 2021. (IF - 5.3)
- S L Victoria Jayafin Nisha, V M Arul Flower Mary and M.Regees, "The Minimum Dominating Energy of Certain Graphs", Proceedings of International Conference on Advanced Mathematical Modeling and Computational Techniques, Chennai, June 2021, pp.277-281.
- S L Victoria Jayafin Nisha, V M Arul Flower Mary and M.Regees, "Minimum Dominating Energy of Star Related Graphs", National Conference on Recent Concepts in Algebraic Graph Theory (NCAGT 2021), Nanjil Catholic College, Oct 2021.
- S L Victoria Jayafin Nisha, V M Arul Flower Mary and M.Regees, "Minimum Dominating Energy of Some Bipartite Graphs", The International Journal of Advance and Innovative Research, Vol. 8, No. 4(I), 2021 (IF - 7.36).
- Lekshmi, I & M, Regees, "A literature survey on fuzzy multi-criteria decision-making methods", International Journal of Mechanical Engineering, vol.7, no.1, pp.3341-3344, 2022. (SCOPUS)
- Lekshmi, I & M, Regees, "Performance evaluation of students - a decision-making strategy based on fuzzy TOPSIS method." Advances & Applications in Mathematical Sciences, vol.21, no.8, pp.4273-4288, 2022. (ESCI)
- Lekshmi, I & M, Regees, "A review on fuzzy multi criteria decision-making methods in medical diagnosis", International Journal of Health Sciences, vol.6, no.S5, pp.2546-2554, 2023. (SCOPUS)
- Lekshmi I & M Regees, "A fuzzy decision-making model based on F-MARCOS method to detect vector-borne diseases", Conference proceedings, International conference Mathematical science and its Recent Advancements, Rathinam College, Coimbatore, pp.199-204, 2022.
- Lekshmi I & M Regees, "A Fuzzy Decision-Making Model Based on Modified Fuzzy Value-Based Ranking Method to Detect Vector-Borne Diseases", Conference Proceedings, International Conference on Advances in Mathematics and Computer Engineering, Nesamony Memorial Christian College, Marthandam, pp.49, 2022.
- Merrit Anisha L & M. Regees, "Properties of edge bimagic harmonious labeling of graphs", Conference Proceedings, National Conference on Advances in Graph theory, Malankara Catholic College, pp.37, 2023.
- Sajithakumari T & M. Regees, "Analytic Even Mean Labeling of Some Graphs", Conference Proceedings, National Conference on Advances in Graph theory, Malankara Catholic College, pp.81, 2023.
- Lekshmi I & M Regees, "A Comparative Study of F-MARCOS and F-COPRAS Methods to diagnose Vector-Borne Diseases", Conference Proceedings, National Conference on Advances in Graph theory, Malankara Catholic College, pp.105, 2023.
- M. Regees & K. Manju, "A β Vertex Consecutive Edge Trimagic Harmonious Labeling of some Cycle Related Graphs", Conference Proceedings, National Conference on Advances in Graph theory, Malankara Catholic College, pp.30, 2023.
- Lekshmi, I & M, Regees, "Fuzzy NoVaRM Approach to Medical Diagnosis via Analyzing the Risk Factors of Tuberculosis", European Chemical Bulletin, vol.12, no.6, pp.7566-7575.
- Lekshmi, I & M, Regees, "Some Reverse Super Edge Magic Harmonious Graph Structures", Palestine Journal of Mathematics, Vol 14(Special Issue II) 2025, pp.444-447.
- Lekshmi, I & M, Regees, "Graph Neural Network in Network Neuroscience", Conference Proceedings, Advances in Fractal Analysis and Geometric Functions, 2025, pp.176-181.
- Lekshmi, I & M, Regees, "An Extended Approach of F-Nonarm for sustainable development: A Case study", Conference Proceedings, Advances in Fractal Analysis and Geometric Functions, pp.122-128, 2025.
- Lekshmi, I & M, Regees, "Multi-Strain Epidemics and SEIR Modeling: A Review of Methods and applications", Conference Proceedings, Advances in Fractal Analysis and Geometric Functions, pp.176-181, 2025.
Invited Talks & Conferences
- Invited talk on "An introduction to graph labeling" β Pioneer Kumaraswamy College (2014)
- Invited talk on "Magic Squares and Magic Type Labeling of Graphs" β St. Jude's College (2015)
- Invited talk on "Importance of Mathematics" β Pioneer Kumaraswamy College (2023)
- Invited talk on "Algebraic Structures" β St. Alphonsa College (2025)
- Conducted PG State Level Dr. S. S. Pillai Mathematics Quiz β Scott Christian College (2024)
- Organized 6 National Conferences as Chief Editor.
Seminars & Training Programs
- Orientation Programme β Loyola Extension Service (1998)
- Faculty Improvement Programme β LES (2001)
- NAAC Orientation Conference β M.S. University (2003)
- National Conference on Emerging Trends in Applied Mathematics (2013)
- National Conference on Graph Connections β University of Kerala (2014)
- International Conference on Mathematics β University of Kerala (2015)
- Numerous workshops on NAAC, Quality Sustenance, and Graph Theory.