Area of Research

Fuzzy Mathematics and Graph Theory: particularly magic graphs , hyper graphs and graph convexity .

Contributions to Teaching:

• Was the founder Head and the Course Director of the Department of Mathematical Sciences. Started teaching career, as a lecturer at Sir Syed College , Thaliparamba and worked there from 16-7-1990 to 28-2-1994.
• After that joined at SES College, Sreekandapuram and worked as reader from 3-6-96 to 24 -10-08. On 25-10-08 joined at Kannur University on deputation basis and founded this department.
• Continued in the department as head and Course director up to 24/1/2012. 3 scholars completed Ph.D under the guidance.
• From 17/12/2015 onwards, working as Associate Professor in the Department of Mathematical Sciences.

Three Scholars completed Ph.D under the supervision of Dr.T.V.Ramakrishnan

Details of Scholars completed Ph.D under the guidance

1 .Sabu Sebastian , thesis title “A Study on Multi- Fuzziness”

2 .Dinesh T, thesis title “ Study on Graph Structure, Incidence

algebras and Their Fuzzy Analogues”

3. Santhosh CP, thesis title “A Study on Fuzzy and Intutionistic Fuzzy

Linear Spaces”

Details of the Research Scholars presently working under the supervision

1. Rasna MP working on “ some problems in topological graph theory”
2. Ragi Puthan veetil working on “Hubsets and Hub polynomilas of a graph”
3. Divya .P.M working on “Domination in hyper graphs”
4. Shama KS working on “Domination sets and polynomials of Zero divisor graphs”
5. Athulya Krishna K working on “A study on the structural and combinatorial aspects of graph convexities in some classes of graph”
6. Mathew Varkey working on “Some problems in Magic graphs"

• Fuzzy Normed Algera C(I) and the related Fuzzy Semi Inner Product
  Spaces , The Journal of Fuzzy Mathematics Vol.3, No.4,1995 ,Los angels
• Category of Fuzzy semi Inner product spaces, The Journal of Fuzzy
  Mathematics,Vol.5,No.3,1997 , Los Angels’
• Fuzzy-semi-inner product of fuzzy points, Fuzzy sets and systems
  89(1997) 249-256
• A fuzzy extension of Hahn Banach Theorem, The Journal of Fuzzy
  Mathematics,Vol.7,No.3,1999 Los Angels
• Fuzzy linear transformations, Global. Journal of Pure and Applied
  Mathematics 5 (1) (2009) 59-68.
• Intuitionistic fuzzy fields and intuitionistic fuzzy linear spaces, Advances in Fuzzy Mathematics 5 (1) (2010) 31-45.
• Norm and inner product on fuzzy linear spaces over fuzzy fields, Iranian Journal of Fuzzy Systems. 8 (1) (2011) 135-144, ,Iran
• I-Linear independence and I-basis in a fuzzy linear space, Journal of
  Advance Research in Pure Mathematics 3 (4) (2011) 7-16,USA
• A study on Multi-fuzzy Sets, International Journal of Applied
  Mathematics.,Bulgaria 23, (2010) 713-721
• Multi-fuzzy Sets, International Mathematical Forum, 50, (2010) 2471- 2476.
• Multi-fuzzy Sets: An Extension of Fuzzy Sets, Fuzzy Inf. Eng., 1, (2011) 35- 43.(Journal of the operations research society of China-Springer) Multi-fuzzy Topology, International Journal of Appl. Math., 24, (2011)
  117 – 129
• Multi-fuzzy Subgroups, International Journal of Contemporary
  Mathematical Sciences, 6, (2011) 365-372.
• Multi-fuzzy Extensions of Functions, Advance in Adaptive Data
  Analysis, 3, (2011) 339 - 350.
• Multi-fuzzy Extension of Crisp Functions Using Bridge Functions ,
  Annals of Fuzzy Mathematics and Informatics, 2, (2011) 1-8.
• Atanassov Intuitionistic Fuzzy Sets Generating Maps, J. Intelligentand Fuzzy Systems, 25, (2013) 859–862
• On Generalised Fuzzy Graph Structures, Applied Mathematical
  Sciences, 5(4),2011,173-180.
• On Generalized Fuzzy Graph Structures II, Advances in Fuzzy
  Mathematics, 6(1),2011,5-12
• On Generalised Fuzzy Graph Structures III, Bulletin of Kerala
  Mathematics Association, 8(1) (2011), 57-66
• Fuzzy Graph Structures – a Generalised Approach. Advances in Theoretical and Applied Mathematics, 6(3)(2011),363-370
• Ri-labellings and Ri-index Vectors of a Graph Structure, Advances and Applications in Discrete Mathematics, 7(1)(2011), 63-82.
• Labelling Matrices and Index Matrices of a Graph Structure, Algebra and Discrete Mathematics, 16(1), (2013), 42-60
• Modules of Labelling Matrices of 0 and ΛJ of a Graph Structure,
  International Journal of Combinatorial Graph Theory and Applications, 3(2) (2010), 61-80
• Labellings of Graphs and Incidence Algebras, International Journal of Contemporary Mathematical Sciences, 6(26)(2011),1253-1259
• Incidence Algebras and Labellings of Graph Structures, International
  Journal of Mathematical Combinatorics, 3(2011),01-10.
• Labellings of Fuzzy Graphs as Fuzzy Algebra of Incidence Algebra,
  International Journal of Fuzzy Mathematics and Systems, 1(3)(2011), 281-287
• Labellings of Fuzzy Graph Structures as Fuzzy Algebra of Incidence
  Algebra, International Journal of Mathematical Sciences and Applications , 1(3)(2011), 1369-1377
• Colouring of Fuzzy Graph Structures, Advances in Fuzzy Sets and Systems, 8(1) (2011),43-60
• Introduction to hub polynomial of graphs, Malaya Journal of Matematik, Vol. 8, No. 4, 1592-1596, 2020
• The open hub number of graphs, Malaya Journal of Matematik, Vol. 8, No. 4, 1375-1377, 2020
• Introduction to open hub polynomial of graphs, Advances in Mathematics: Scientific Journal 9 (2020), no.9, 7567–7572
• On the roots of hub polynomials, Advances and applications in Discrete Mathematics, Volume 26, Number 2, 2021 Pages 197-210
• On the roots of open hub polynomials, South East Asian Journal of Mathematics, Accepted for publication , about to publish