Mathematics
 

The Department of Mathematics offers both under-graduate and post-graduate degree programmes in Mathematics. The under-graduate programme, B.Sc. Mathematics was started in the year 1969-70, with a sanctioned strength of 50. The department offers either Accountancy or Physics as allied subjects in B.Sc. Mathematics programme. The post-graduate programme, M.Sc. Mathematics was started in the year 1981-82, with a sanctioned strength of 20. Both the UG and PG curriculum includes a judicious mix of pure and applied mathematics subjects, including computer-programming subjects. The curriculum includes computer practical classes. The department offers M.Phil.(Full-Time and Part-Time) degree programmes in Mathematics.

 FACULTY
  • Dr. K. Rajagopal, M.Sc., M.Phil., P.G.D.C.A., Ph.D.(Stat.)                                                            (Head)
  • Mr. P. Muthusamy, M.Sc., M.Phil., P.G.D.C.A.
  • Mrs. D. Sadhanaa, M.Sc., M.Phil.
  • Dr. M. G. Karunambigai, M.Sc., M.Phil., P.G.D.C.A., Ph.D.
  • Mrs. R. Indra Devi, M.Sc., M.Phil.
  • Dr. P. Karthikeyan, M.Sc., M.Phil., Ph.D.

 PUBLICATIONS
  • Kadambavanam K., Two phase c-mean clustering with noise reduction using fuzzy rules, International Journal of Advanced Research in Science & Engineering, (IJARSE), Vol-3, issue-11, November 2014,(ISSN 2319-8354), Co-authur: T. Senthilnathan.
  • Rajagopal K., Designing Re-sampling Schemes using Bayesian Methodolgy, Research and Reviews: Journal of Statistics, Special issue, Vol-2, pp.35-42, 2014, Co-authors: R. Vijayaragavan, A. Loganathan.
  • Karunambigai M. G., Operations on Strong Intuitionstic Fuzzy Graphs, Proceeding of the International Conference on Mathematical Methods and Computation, ISSN: 0973-0303, pp. 153-160, 2014, Co-authors: O.K. Kalaivani, R. Buvaneswari.
  • Karunambigai M. G., Cayley Intuitionistic Fuzzy Graph, J.Appl.Math. & Informatics, Vol-32, pp. 827-842, 2014, Co-authors: M. Akram, O.K. Kalaivani.
  • Karunambigai M. G., Balanced Bipolar Fuzzy Graphs, Journal of Advance Research in Pure Mathematics, Vol-6, issue-4, pp.58-71, 2014, Co-authors: M. Akram, S. Sivasankar, K.Plaanivel.
  • Karunambigai M. G., Some Properties of Regular Intuitionistic Fuzzy Graphs, Proceeding of 3rd International Conference on Mathematical Sciences and its Applications, Abu Dhabi, December, 2014, Co-authors: S. Sivasankar, K.Palanivel.
  • Karunambigai M. G., Properties of Balanced Intuitionistic Fuzzy Graphs, ScieXplore, International Journal of Research in Science, ISSN 2349-8919, Vol-1, pp.1-5, 2014, Co-authors: S. Sivasankar, K. Planivel.
  • Kadambavanam K., and Punniakrishnan K., Some Basic Fuzzy Inventory Models, International Journal of Production Technology and Management Research, Vol. 2, No. 2, 2011, pp. 103-108.
  • Kadambavanam K. and Punniakrishnan K., Fuzzy Inventory Model Allowing Shortages and Storage Constraint, International Journal of production Technology and Management Research, Vol. 2, No. 2, 2011, pp. 95-101.
  • Kadambavanam K. and Punniakrishnan K., Inventory Model in a Fuzzy Environment with Exponential Membership Cost Functions, CiiT International Journal Of Fuzzy Systems, Vol.3, No.9, 2011, pp. 383-390.
  • Punniakrishnan K. and Kadambavanam K., Inventory Model in a Fuzzy Environment with its associated costs Exponential Membership Function, International Journal of Research in Commerce, IT and Management, Vol. 2, No. 9, 2012, pp. 102-106.
  • Punniakrishnan K. and Kadambavanam K., Application of Fuzzy Inventory Model with Shortages in Manpower Planning having Goal and Storage Area in Hyperbolic Membership Function, Journal of Science, Technology and Management, Vol. 5, No. 1, 2012, pp. 21-31.
  • Punniakrishnan K. and Kadambavanam K., Fuzzy Inventory Model with Shortages in Man Power Planning, Mathematical Theory and Modeling, Vol.1, No.1, 2011, pp. 19-29.
  • Rajagopal K., Vijayaraghavan R. and Loganathan A., Single Sampling Plans by Variables for Exponential Distribution- A Predictive Distribution Approach, Journal of Statistics and Applications, Vol. 5, 2010, pp. 27-46.
  • Loganathan A., Vijayaraghavan R. and Rajagopal K., Designing Single Sampling Plans by Variables using Predictive Distribution, Economic Quality Control, Vol. 25, 2010, pp. 301-316.
  • Rajagopal K., Vijayaraghavan R. and Loganathan A., Selection of Bayesian Single Sampling Attributes Plans based on Polya Distribution, Economic Quality Control, Vol. 24, 2009, pp. 179-193.
  • Loganathan A., Rajagopal K., and Vijayaraghavan R., A Procedure for Selection of Gamma-Poisson Single Sampling Plans by Attributes, Journal of Applied Statistics, Vol. 35, 2008, pp.149-160.
  • M.G.Karunambigai, M.Akram, S.Sivasankar and K.Palanivel: Balanced Intuitionistic Fuzzy Graphs, Applied Mathematical Sciences, Vol. 7, No. 51, 2013, pp. 2501-2514.
  • M.Akram, M.G.Karunambigai and O.K.Kalaivani, Some Metric Aspects of Intuitionistic Fuzzy Graphs, World Applied Sciences Journal, 17(12): 1792-1804, 2012.
  • R.Parvathi, S.Thilagavathi, M.G.Karunambigai and G.Thamizhendhi: Index Matrix Representation of Intuitionistic Fuzzy Graphs, Information Sciences(Elsevier), 2012, pp. 1-7.
  • R.Parvathi, S.Thilagavathi and M.G.Karunambigai, Operations on Intuitionistic Fuzzy Hypergraphs, International Journal of Computer Applications, 51(5), August 2012.
  • M.G.Karunambigai , R.Parvathi and R.Buvaneswari, Arc in Intuitionistic Fuzzy Graphs, Notes on Intuitionistic Fuzzy Sets, 17, 2011, pp. 37-47.
  • M.Akram and M.G.Karunambigai, Metric in Bipolar Fuzzy Graphs, World Applied Sciences Journal, Vol. 14, No. 12, 2011, pp. 1920-1927.
  • M.G.Karunambigai and O.K.Kalaivani, Self Centered Intuitionistic Fuzzy Graph, World Applied Sciences Journal, Vol. 14, No.12, 2011, pp. 1928-1936.
  • M.G.Karunambigai, R.Parvathi and R.Bhuvaneswari, Constant Intuitionistic Fuzzy Graphs, Notes on Intuitionistic Fuzzy Sets, Vol. 17, 2011, pp. 37-47.
  • M.G.Karunambigai, R.Parvathi and O.K.Kalaivani, A Study on Atanassov’s Intuitionistic Fuzzy Graphs, 2011 IEEE International Conference on Fuzzy Systems (FUZZ 2011), IEEE, Taiwan, pp.157-167.
  • R.Parvathi, M.Karunambigai, and Atanassov, Operations on Intuitionistic Fuzzy Graphs, 2009 IEEE International Conference on Fuzzy Systems (FUZZ 2009), IEEE, South Korea, pp.1396-1401. (ISBN: 978-1-4244-3596-8)
  • R.Parvathi, S.Thilagavathi, M.G.Karunambigai: Intuitionistic Fuzzy Hypergraphs, Cybernetics and Information Technologies, Vol. 9, No. 2, 2009, pp. 46-53.
  • Karunambigai and A.Muthusamy, Factorization of Tensor Product of Graphs, Bulletin of ICA, Vol. 52, 2008, pp. 89-100.
  • S.Thilagavathi, R.Parvathi and M.G.Karunambigai, Operations on Intuitionistic Fuzzy Graphs II, in: Krassimir Todorov Atanassov, et al. (Eds.), Developments in fuzzy sets, Generalized nets and related topics: Foundations, Volume I, Academic Publishing House EXIT, Warsaw, 2008, pp. 319-336, (ISBN: 9788360434529).

 RESEARCH PROJECTS UNDERTAKEN
S.No. Investigator Title & Duration Amount
1 Dr.A.Muthusamy Hamiltonian cycle decompositions and Path Factorizations of Graphs (2000 to 2001) 85,000
2 Dr.K.Kadambavanam A study on the application of fuzzy inventory models (2005 to 2008) 55,000
3 Dr.M.G.Karunambigai Intuitionistic fuzzy graphs and intutionistic fuzzy hyperplanes (2011 to 2012) 1,00,000
4 Dr.M.G.Karunambigai Applications of Intuitionistic fuzzy graphs in Clustering (2012 to 2014) 3,75,000

 SEMINARS / CONFERENCES ORGANIZED
S.No. Date Details
1 March 23-24, 2007 UGC sponsored Two-day National Conference on Recent Trends in the Application of Maths and Statistics with reference to Physical and Social Sciences

 UNIVERSITY RANK HOLDERS
S.No. Name Course Year Rank
1 R. Vidhyadharani B.Sc. 2006-2009 6
2 G. Felciya Merlin B.Sc. 2006-2009 7
3 B. Poornima B.Sc. 2006-2009 9
4 S. Poornimadevi B.Sc. 2007-2010 10
5 V. Pachamuthu B.Sc. 2008-2011 2
6 S. Karthika B.Sc. 2009-2012 4
7 R. Sumathi B.Sc. 2009-2012 6
8 P. Baby B.Sc. 2010-2013 2
9 B. Srinithi B.Sc. 2013-2016 6
10 M. Chitra M.Sc. 1997-1999 5
11 K. Balamurugan M.Sc. 1998-2000 2
12 P. Sangeetha M.Sc. 1998-2000 3
13 P. Chandrakala M.Sc. 1999-2001 5
14 S. JamunaRani M.Sc. 2000-2002 5
15 P. Kavitha M.Sc. 2000-2002 6
16 R. Priya M.Sc. 2002-2004 6
17 P. P. Sakthivel Muthu M.Sc. 2003-2005 2
18 K. Nithya M.Sc. 2003-2005 8
19 P. Kalaivani M.Sc. 2005-2007 4
20 K. Kalaivani M.Sc. 2005-2007 9
21 M. Bhuvaneswari M.Sc. 2005-2007 4
22 M. Mathumathi M.Sc. 2005-2008 8
23 P. Vijayalakshmi M.Sc. 2007-2009 5
24 L. Yogeswari M.Sc. 2007-2009 9
25 P. Nachammal M.Sc. 2007-2009 10
26 S. Nithya M.Sc. 2008-2010 5
27 D. Gayathri M.Sc. 2009-2011 5
28 G. Praveen M.Sc. 2011-2013 6