Research Centre for Mathematics was recognized by Calicut University in 2011 with the aim of promoting research environment in Mathematics. In 2014, Research Advisory Committee was constituted with the Principal in the institution as Chairman, Dr. P T. Ramachandran, Associate Professor, Department of Mathematics, Calicut University as Expert from University, Dr. Sr. Lilly P L, Principal, St. Joseph’s College, Irinjalakuda as Expert nominated by the Vice Chancellor, and two Research Guides Dr. Sr. Magie Jose & Dr. Parvathy K. S as members. Five research scholars were admitted in the same year. Later Dr. Anjali Kishore, Assitant Professor, Vimala College, Thrissur and Dr.Sr. Phelomena C.F, Principal, Little Flower College, Guruvayoor were also recognized by Calicut University, as Research Guides. The major research areas are Graph Theory, Convexity Theory, Fuzzy Mathematics and Functional Analysis. The Centre organizes programmes related to academic and research interests and a few research papers have been published.17 students enrolled till now out of which one scholar Sr. Jorry T.F was awarded PhD.
1. Graph Theory
2. Convexity Theory
3. Fuzzy Mathematics & Functional Analysis
The present Research Admission Committee (RAC) members are
| Sl.No | Name | Designation | Areas of Interest | Research scholars registered |
|---|---|---|---|---|
| 1 | Dr. Sr Magie Jose | Principal, St Marys College, Thrissur | Fuzzy Mathematics, Functional Analysis | 6 |
| 2 | Dr. Parvathy KS | Associate Professor, St Marys College, Thrissur | Graph Theory, Convexity Theory | 5 |
| 3 | Dr. Anjaly Kishore | Assistant Professor, Vimala College, Thrissur | Graph Theory | 4 |
| 4 | Dr Sr Phlomena C F | Principal, Little Flower College, Guruvayoor | Fuzzy Frames | 1 |
| Sl.No | Name | Areas of Research | Mode of research |
|---|---|---|---|
| 1 | Tintumol sunny | Fuzzy Graph Theory | Part time |
| 2 | Swarna K. L | Fuzzy Soft Sets | Part time |
| 3 | Sukanya K P | Fuzzy Metric Space | Part time |
| 4 | Sowmya K | Clifford Algebra | Part time |
| 5 | Sr. Jorry T F | Graph Theory | Awarded P.hd |
| 6 | Farisa M | Graph Theory | Part time |
| 7 | Reeja Kuriakose | Graph Theory | Part time |
| 8 | Lekha A | Graph Theory | Part time |
| 9 | Megha PM | Graph Theory | Part time |
| 10 | Mohmamed Nishad Maniparambaths | Graph Theory | Part time |
| 11 | Sinu N. Vijayan | Graph Theory | Full time |
| 12 | Shahana A R | Fuzzy Normed Space | Full time |
| 13 | Viji A M | Graph Theory | Part time |
| 14 | Alphy Jose | Graph Theory | Part time |
| 15 | Diviya K D | Graph Theory | Part time |
| 16 | Magi P M | Graph Theory | Part time |
| 17 | Smitha P | Graph Theory | Part Time |
| Sl.No | Name | Title of the Project | Funding Agency | Year of Approval | Remarks |
|---|---|---|---|---|---|
| 1 | Sr. Dr. Magie Jose | Fuzzy Quotient space | UGC 50,000 | 2008 -2010 | Completed |
| 2 | Ms.Reeja Kuriakose | A study on signed domination number of graphs | UGC 1,60,000 | 2013-2015 | Completed |
| 3 | Sowmya K | A study on kinematics in robotics with the help of Clifford algebra | UGC 1,80,000 | 2014-2016 | Completed |
| 4 | Dr.Parvathy K.S | Some convexity properties of normed spaces | UGC 1,80,000 | 2014-2016 | Completed |
| 5 | Smt.Dolly Augustine | Fuzzy Analogue of the Hilbert space | UGC 1,80,000 | 2014-2016 | Completed |
| Name | Titles of the research papers | Journals in which published\accepted for publication | Year of publication |
|---|---|---|---|
| 1.Dr. Antony Xavier 2.Dr. Sr. Magie Jose 3. M L Santiago |
Open Mapping Theorem in Fuzzy Normed Spaces | J. Fuzzy Mathematics Vol. 6 No. 4 | 1998 |
| Dr. Sr. Magie Jose & M L Santiag |
Closed Graph Theorem in Fuzzy Normed Spaces | Bull. Calcutta Math. Soc., Vol 91 (5) | 1999 |
| Dr. Sr. Magie Jose | Fuzzy bounded linear maps and Quotient spaces | Bulletin of Kerala Mathematics Association Vol.6, No.2, 93-101 | 2010 |
| Dr. Antony Xavier Dr. Sr. Magie Jose |
Fuzzy Inner Product Spaces | Proceedings of the International Conference on Mathematics and Computer Science (375-382) | 2010 |
| Dr. Parvathy K. S & A Vijayakumar |
About a Conjecture on The Centers of Chordal Graphs Convexity in Graphs , Minimal Path Connectivity” Geodesic Iteration Number Convex Extendable Trees On The Cyclic Convexity of a Graph |
Graphs & Combinatorics, 10 269-270 Graph Theory of New York XXXIV ; 15-17 Proceedings of the Conference on Graph Connections, Jan 28-31,Cochin, 91-94 Allied Pub. Ltd. Discrete Mathematics : 206 179-185 Indian J. pure appl. Math., 38 (5) 451-456, October |
1994 1998 1998 1999 2007 |
| Dr. Parvathy K.S. | G-Function on Convexity Spaces | Bulletin of Kerala Mathematics Association Vol.7, No.275-81 | 2010 |
| Dr. Parvathy K.S. | Klein Colouring of Graphs | Bulletin of Kerala Mathematics Association Vol.8, No.2 127-131 | 2011 |
| V Narayanan P R. Sujith Dr. Parvathy K.S. |
Characterization of point Determining And point Distinguishing Graphs | Graph Theory Notes of New York LX, 19-22 | 2011 |
| Dr. Parvathy K.S. | “Packing by Edge disjoint trees” | Global journal of Mathematical Sciences Pp [245-250] | 2013 |
| Jorry T F & Dr. Parvathy K. S |
Uniformly segregated trees Minimum Total Irregularity of Totally segregated Trees Irregularity Of Totally Segregated Trees Minimum Irregularity of Totally Segregated Bicyclic Graphs Minimum Total Irregularity of totally segregated - Bicyclic graphs “Extremal Irregularity Of Totally Segregated Unicyclic Graphs” |
Bulletin of Kerala Mathematics Association Vol.12, No. 2, 135-143 International Journal of Mathematics Trends and Technology Vol. 50 No. 3,21-28 Bulletin of Kerala Mathematics Association Vol.15 No.1,97-104 Journal of Emerging Technologies and Innovative Research Vol. 5 Issue 11(2018) International Journal of Recent Technology and Engineering Vol. 8, Issue 6 660-662 Far East Journal of Mathematical Sciences Vol. 112, number 1,1-21 |
2015 2017 2018 2018 2019 2019 |
| Sukanya K P & Sr. Dr. Magie Jose | Sukanya K P & Sr. Dr. Magie Jose | ||
| Sukanya K P & Sr. Dr. Magie Jose | theorems in Generalized fuzzy metric spaces | Bulletin of Kerala Mathematics Association Vol.13, No. 1, 75-79 | 2016 |
| Sukanya K P & Sr. Dr. Magie Jose | Fixed Point Theorems for Occassionally weakly compatible self maps in Generalized Fuzzy Metric Spaces | International Journal of Pure and Applied Mathematics | 2017 |
| Sukanya K P & Sr. Dr. Magie Jose | Fixed Point Theorem in Generalized E- Fuzzy Metric Spaces | International Journal of Pure and Applied Mathematics Vol. 118 No.10 317-326 | 2018 |
| Sukanya K P & Sr. Dr. Magie Jose | Fuzzy metric space and fixed point theorem | Mathematical Sciences International Research Journal Vol. 7 Issue 1, 119-122 | 2018 |
| Sukanya K P & Sr. Dr. Magie Jose | Generalized fuzzy metric space and its properties | International Journal of Pure and Applied Mathematics Vol. 119, No.9 31-39 | 2018 |
| Reeja Kuriakose & Dr. Parvathy K . S | Bounds of domination number of Cartesian Product of certain Types of Graphs | Bulletin of Kerala Mathematics Association Vol. 15, No.2 173-178 | 2017 |
| Reeja Kuriakose & Dr. Parvathy K . S | Reserved Domination number of Graphs | Contemporary studies in Discrete Mathematics Vol.1, No.1, 67-70 | 2017 |
| Reeja Kuriakose & Dr. Parvathy K . S | On The P3 convexity of Graphs | International Journal of Recent Technology and Engineering Volume. 7, Issue 6S2, 870-873 | 2019 |
| Lekha A & Dr. Parvathy K S | Nearly Dominating Sets | Bulletin of Kerala Mathematics Association Vol.15. No.2 219-228 | 2017 |
| Farisa M & Dr. Parvathy K S | Joint Graceful Labelling | Bulletin of Kerala Mathematics Association Vol.15, No.2 301-311 | 2017 |
| Farisa M & Dr. Parvathy K S | LH Labelling of some graphs | International Journal of Recent Technology and Engineering Volume. 7, Issue 6S2 874-877 | 2019 |
| Tintumol Sunny & Sr. Dr. Magie Jose | Modular and Homomorphic Products on Interval Valued Intuitionistic Fuzzy Graphs | International Journal of Pure and Applied Mathematics ,V118, No 10, 257-276 | 2018 |
| Tintumol Sunny & Sr. Dr. Magie Jose | Boxdot and Star Products on Interval - Valued Intuitionistic Fuzzy Graphs | International Journal of Innovative Technology and Exploring Engineering Volume-8, Issue-7 1238-1242 | 2019 |
| Dr. Sr. Smitha Rose & Dr. Sudev Naduvath | On Chromatic Topological Indices of Certain Wheel Related Graphs | Int. J. of Math. Sci. & Eng. Appl. Vol. 11, No.3, 129-144 | 2017 |
| Dr. Sr. Smitha Rose & Dr. Sudev Naduvath | On Chromatic Topological Indices of Certain Wheel Related Graphs | Int. J. of Math. Sci. & Eng. Appl. Vol. 11, No.3, 129-144 | 2017 |
| Dr. Sr. Smitha Rose & Dr. Sudev Naduvath | On Chromatic D-Polynomial of Graphs | Contemporary studies in Discrete Mathematics Vol. 2, No. 1, 57-68 | 2018 |
| Sowmya K & Sr. Magie Jose | λ-Fuzzy Subgroup | International Journal of Recent Technology and Engineering Volume. 7, Issue 6S2 780-784 | 2019 |
|
Magi P M Dr. Sr. Magie Jose, Anjaly Kishore |
Spectrum of the zero divisor graph on the ring of integers modulo n | Journal of Mathematics and computer science, Volume 10(5) 2020, 1643-1666 | 2020 |
|
Magi P M Dr. Sr. Magie Jose, Anjaly Kishore |
Adjacency matrix and eigenvalues of the zero-divisor graph γ(Z_n) | Journal of Mathematics and computer science, Volume 10(4) 2020, 1285-1297 | 2020 |
|
Magi P M Dr. Sr. Magie Jose, Anjaly Kishore |
Distance and distance Laplacian spectrum of the zero divisor graph on the ring of integers modulo n | Advances in Mathematics Scientific Journal 9(2020), no.12, 10591-10612 | 2020 |
|
Magi P M Dr. Sr. Magie Jose, Anjaly Kishore |
Distance related spectrum of the zero divisor graph on the ring of integers modulo n | Journal of Mathematics and computer science, Volume 11(1) 2021, 365-379 | 2021 |
|
Shahana A R Dr. Sr. Magie Jose |
Some results on Generalized Fuzzy Banach Spaces | International Review of Fuzzy Mathematics, Volume 14, No.1 (June 2019)113-122. | 2019 |
|
Shahana A R Dr. Sr. Magie Jose |
Generalized Fuzzy Normed Spaces and Its Properties | The journal of Fuzzy Mathematics, Vol: 28, No. 3 (2020), 647-656. | 2020 |
|
Shahana A R Dr. Sr. Magie Jose |
Continuous Linear Transformations on Generalized Fuzzy Normed Spaces | Malaya Journal of Matematik, Vol. 8, No. 2 (2020) , 485-488 | 2020 |
|
Sowmya K Dr.Sr. Magie Jose Ursala Paul |
Introduction to Riesz lG – module | Malaya Journal of Matematik, Vol. 8, No. 2, 561-564, 2020 | 2020 |
|
Lekha A Dr. Parvathy K S |
Propertiets of disjunctive domination in product graphs | Malaya journal of mathemaik, Volume 8, Number 1, 2020, 37-41 | 2020 |
| Sl.No | Name | Titles of papers | National/International | Venue & Date | |
|---|---|---|---|---|---|
| 1 | Dr. Sr. Magie Jose | Fuzzy Banach Spaces | International conference on science, Technology, Women Studies, Business and Social Sciences 2016 | IMRF Goa Chapter, Goa November 3-5,2016 | |
| 2 | Reeja Kuriakose (Faculty) | Weighted Signed Directed Graphs | National Conference on "Applied Mathematics" | Dept. of Mathematics, St. Thomas College, Thrissur 27- 28 February 2015 | |
| 3 | Reeja Kuriakose (Faculty) | Domination Degree and Powerful Domination | Two day national seminar on “Cryptography , Number Theory and Algebra” | Mercy College, Palakkad, 22-23 July 2015 | |
| 4 | Reeja Kuriakose (Faculty) | Weighted Directed Signed Graphs, its Domination Number and some Properties | International Conference on Science, Technology, Women Studies, Business and Social Sciences, 2016 | IMRF Goa Chapter, Goa, November 3-5, 2016 | |
| 5 | Reeja Kuriakose (Faculty) | Conditional Domination and Domination Extension on Graphs | National Seminar on Discrete Mathematics and Applications | Centre for Studies in Discrete Mathematics, Thrissur, 19-21 July 2017 | |
| 6 | Reeja Kuriakose (Faculty) | Absorption Number of Graphs | International Conference on "Discrete Mathematics and its Applications to Network Science" | Birla Institute of Technology and Science- K K Birla, Goa, Campus, 07-10 July 2018 | |
| 7 | Reeja Kuriakose (Faculty) | On P3 Convex Hull Number of Graphs | 2nd International Conference on Pure and Applied Mathematics | SCSVMV. Enathur, Kanchipuram 17-19 December 2018 | |
| 8 | Dr Sr Smitha Rose C G (Faculty) | Efficient Split Domination in Graphs | International Conference ‘Trends and Innovations in Science, Arts and Commerce’ TISAC 2019 | St. Mary’s College, Thrissur. 29 January 2019 | |
| 9 | Megha P M (Research Scholar) | H-index Graph of a Group G | National Conference on "Applied Mathematics" | Dept. of Mathematics, St. Thomas College, Thrissur, 27- 28 February 2015 | |
| 10 | Megha P M (Research Scholar) | Series of h- index Spanning Subgraphs Corresponding to Subnormal and Composition Series of Subgroups | International Conference on Science, Technology, Women Studies, Business and Social Sciences, 2016 | IMRF Goa Chapter, Goa November 3-5, 2016 | |
| 11 | Sukanya K. P. (Research Scholar) | Fixed point Theorem on Generalized Fuzzy Metric Space | National Level Workshop on “Geometry through Linear Algebra and Calculus” | Sree Kerala Varma College, Thrissur, 29-31, October 2015 | |
| 12 | Sukanya K. P. (Research Scholar) | Fixed Point Theorems for Occasionally Weakly Compatible Self maps in Generalized Fuzzy Metric Spaces | International conference on science, Technology, Women Studies, Business and Social Sciences 2016 | IMRF Goa Chapter, Goa November 3-5, 2016 | |
| 13 | Sukanya K. P. (Research Scholar) | Generalized Fuzzy Metric Space and its Properties | National Conference on Recent Trends in Fuzzy Mathematics and its Applications | SRM University Chennai 3, 4 November 2017 | |
| 14 | Sukanya K. P. (Research Scholar) | Fixed Point Theorem in Generalized e-fuzzy metric space | National Conference on emerging trends in mathematical sciences | S A Engineering College 22 December 2017 | |
| 15 | Sukanya K. P. (Research Scholar) | Fuzzy Metric Space and Fixed Point Theorem | International Conference on Pure and Applied Mathematics | Sri Chandrasekharendra Saraswathi Viswa Mahavidyalaya Kanchipuram 19-20 February 2018 | |
| 16 | Farisa M (Research Scholar) | ||||
| 17 | Farisa M (Research Scholar) | Graceful number of Non- Graceful graphs | Two day national seminar on “Cryptography , Number Theory and Algebra” | Mercy College, Palakkad 22,23 July 2015 | |
| 18 | Farisa M (Research Scholar) | Study on Graceful Number of Non-Graceful graphs | International Conference on Science, Technology, Women Studies, Business and Social Sciences 2016 | IMRF Goa Chapter, Goa November 3-5,2016 | |
| 19 | Farisa M (Research Scholar) | LH labelling of some Graphs | 2nd International Conference on Pure and applied Mathematics | SCSVMV. Enathur, Kanchipuram 17-19 December 2018 | |
| 20 | Sr. Jorry T F (Research Scholar) | Search for Irregular Graphs | Two day national seminar on “Cryptography , Number Theory and Algebra” | Mercy College, Palakkad 22,23 July 2015 | |
| 21 | Sr. Jorry T F (Research Scholar) | Uniformally segregated Trees | National Conference on emerging trends in Graph theory | Christ University, Bengaluru April 29-30 2016 | |
| 22 | Sr. Jorry T F (Research Scholar) | Bounds for Total Irregularity of Totally segregated Trees | 13th ADMA Annual Conference and Graph Theory Day –XIII ( Secured Best paper Award) | Chennai , SSN College of Engineering, Chennai 08-10 June 2017 | |
| 23 | Sr. Jorry T F (Research Scholar) | Comparison of minimum irregularity and minimum total irregularity of totally segregated trees | National workshop on graph domination and labelling | St. Mary’s College, Thrissur 23-25 November 2017 | |
| 24 | Sr. Jorry T F (Research Scholar) | Minimum irregularity of totally segregated unicyclic graphs | International Conference on Recent Trends in Graphs and Networks | St. Xaviers College for Women Aluva 30 October- 1 November 2017 | |
| 25 | Sr. Jorry T F (Research Scholar) | Extreme Total Irregularity of Totally Segregated Unicyclic Graph | International Conference on "Recent Trends in Graph Theory and Combintorics, ICRTGC-2018 | Dept. of Mathematics, Cochin University of Science and Technology, 26-29 April 2018 | |
| 26 | Sr. Jorry T F (Research Scholar) | Regularising sequence of non regular graphs with emphasis on totally segregated graphs | International Conference on "Discrete Mathematics and its Applications to Network Science" | Birla Institute of Technology and Science- K K Birla, Goa Campus, 07-10 July 2018 | |
| 27 | Sr. Jorry T F (Research Scholar) | Minimum Total irregularity of totally segregated ∞ - Bicyclic graph | 2nd International Conference on Pure and applied Mathematics | SCSVMV. Enathur, Kanchipuram 17-19 December 2018 | |
| 28 | Sowmya K (Faculty) | Clifford algebra in screw theory | International Conference on Science, Technology, Women Studies, Business and Social Sciences 2016 | IMRF Goa Chapter, Goa November 3-5,2016 | |
| 29 | Sowmya K (Faculty) | λ- Fuzzy subgroups | 2nd International Conference on Pure and applied Mathematics | SCSVMV. Enathur, Kanchipuram 17-19 December 2018 | |
| 30 | Tintumol Sunny (Research Scholar) | Some operations on strong interval- valued intuitionistic fuzzy graphs | International Conference on Science, Technology, Women Studies, Business and Social Sciences 2016 | IMRF Goa Chapter, Goa November 3-5,2016 | |
| 31 | K L Swarna (Research Scholar) | Spectrum of a bounded linear operator on a F-Hilbert space | International Conference on Science, Technology, Women Studies, Business and Social Sciences 2016 | IMRF Goa Chapter, Goa November 3-5, 2016 | |
| 32 | K L Swarna (Research Scholar) | Some properties of Determinants of Fuzzy Soft Square Matrices | International Conference on Mathematics 2018 | St. Thomas College, Thrissur, June 29-30 , 2018 | |
| 33 | Lekha A (Research Scholar) | Some bounds for Near Domination Number of Product Graphs | International Conference on "Discrete Mathematics and its Applications to Network Science" | Birla Institute of Technology and Science- K K Birla, Goa Campus, 07-10 July 2018 | |
| 34 | Lekha A (Research Scholar) | Disjunctive Domination in Product Graphs | 2nd International Conference on Pure and applied Mathematics | SCSVMV. Enathur, Kanchipuram 17-19 December 2018 | |
| 35 | Lekha A (Research Scholar) | Nearly Dominating sets | International Conference on Science, Technology, Women Studies, Business and Social Sciences 2016 | IMRF Goa Chapter, Goa November 3-5,2016 | |
| 36 | Lekha A (Research Scholar) | Study of near domination in product graphs | National workshop on graph domination and labelling | St. Mary’s College, Thrissur, 23-25 November 2017 | |
| 37 | Lekha A (Research Scholar) | Perfect Near Domination in Graphs | International Conference on "Recent Trends in Graph Theory and Combintorics, ICRTGC-2018 | Dept. of Mathematics, Cochin University of Science and Technology, 26-29 April 2018 | |
| 38 | Viji A M (Research Scholar) | A study on the Composed Operator of Gallai and Complement | International Seminar on “Advanced Mathematics and Statistics” organized by the Post Graduate Department of Mathematics | Little Flower College, Guruvayoor on 8- 9 August 2019. | |
| 39 | Alphy Jose (Research Scholar) | Moore Penrose Inverse in Graph Theory | International Seminar on “Advanced Mathematics and Statistics” organized by the Post Graduate Department of Mathematics | Little Flower College, Guruvayoor on 8- 9 August 2019 | |
| 40 | Divya K D (Research Scholar) | Closeness Centrality of Some Graphs | International Seminar on “Advanced Mathematics and Statistics” organized by the Post Graduate Dept. of Mathematics | Little Flower College, Guruvayoor on 8- 9 August 2019. | |
| 41 | Dr. Sr. Smitha Rose C. G. (Faculty) | Modified Chromatic D Polynomial of Mycielskian of Graphs | International Conference on Emerging Trends in Graph Theory(ICETGT-2019) | Christ (Deemed to be University), Bangalore 27-28, February 2019 | |
| 42 | Dr. Sr. Smitha Rose C. G. (Faculty) | A Study on Modified Chromatic D Polynomials of Graphs | International Conference on Trends and Innovations in Science, Arts and Commerce (TISAC 2019) | St. Mary’s College, Thrissur 29 January 2019 | |
| 43 | Sinu N.Vijayan | A note on the zero divisor graphs and hypergraphs of both commutative and non-commutative rings. | 23rd Ramanujan Symposium National Conference on Graph Theory and its Applications (NCGTA) 2020 at Ramanujan Institute for Advanced Study in Mathematics, University of Madras,4-6 March 2020 | Ramanujan Institute for Advanced Study in Mathematics, University of Madras | |
| 44 | Magi P.M | Eigenvalues of a class of the zero Divisor Graph (Zn) | Second International Conference on Algebra and Discrete Mathematics, ICDAM 2020, Madurai Kamaraj University, Madurai, June 24-26 2020 | Madurai Kamaraj University, Madurai |
