Research / Marian Research Centre for Mathematics

Marian Research Centre for Mathematics

 

          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.

Major Area of Research were

1. Graph Theory

2. Convexity Theory

3. Fuzzy Mathematics & Functional Analysis

Research Advisory Committee(RAC)

The present Research Admission Committee (RAC) members are

  • Dr. Sr Magie Jose (Principal, Research Guide) - Chairman
  • Dr. Preethi Kuttipulackal , Dept of Mathematics, University of Calicut- Subject Expert
  • Dr. G Sajith, Dept. of Mathematics, S.S College, Arecode, Malappuram- Expert nominated by Vice Chancellor
  • Dr. Parvathy KS, Research Guide
  • Dr. Anjali Kishore. Assistant Professor, Vimala College, Thrissur

Research Guides

 

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
 

Research Scholars

 

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

List of Minor Research Projects completed

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

Publications by Research Scholars and Faculty

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

Presenations

 

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  
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