BITS Pilani

  • Page last updated on Friday, November 25, 2016

Research

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Research Areas

Graph Theory (Discrete Mathematics)
  • Graph Labeling  Problems (Graceful Labeling and Skolem Graceful Labeling of Signed Graphs, Magic Graphs).
  • Domination Energy of Graphs.
  • Spectra and Energy of Signed Graphs.

Academic /Professional Bodies

Academic/Professional Membership:  Life member of

1.      Ramanujan Mathematical Society

2.      Forum for Interdisciplinary Mathematics

3.      Academy of Discrete Mathematics and Applications (Founder Member)

Academic Achievements:

  1. Member of Editorial Board of Journal of Indian Academy of Mathematics, during 2011-2013.
  2. Member of Advisory Board of Indian Academy of Mathematics, during 2013-2015.
  3. Member of editorial board of Journal of Vijnan Parishad, India.
  4. Member of the Reviewer Committee in Mathematical Review of American Mathematical Society (AMS).
  5. Member of the advisory body of Department of Mathematics for the academic year 2010-11 & 2014-16 in KLS Gogte Institute of Technology, Belgaum.
  6. Member of Executive Council of Academy of Discrete Mathematics for the period of 2014-16.

Academic Meeting

Participation in Academic Meetings/Conferences/Workshops/Seminars

 

1.      Delivered a lecture on Graph Labeling Problems” in National Workshop on Discrete Mathematics and its Application during March 21-24, 2005 organized by the Department of Pure Mathematics, University of Kolkata, Kolkata.

2.      Acted as a Tutorial leader in CARDMATH  National Group Discussion on Signed Discrete Structures and their Applications, during Nov. 15-24, 2005, organized by the Regional Institute of Education, Mysore.

3.      Delivered 5 lectures on “Graceful and Skolem Graceful Signed Graphs and its Applications in Design Theory”, in Group Discussion on Labelings of Discrete Structures and Applications,  during April 19-28, 2006,    organized by the Department of Mathematics, Mary Matha Arts & Science College, Mananthavady, Kerala.

4.      Delivered  4 lectures on “Graph Labeling Problems and its Application to Coding Theory”,  in National Workshop on Graph Theory and Applications, during Oct. 9-16, 2006, organized by the Department of Mathematics, North-East Regional Institute of Science and Technology (NERIST), Nirujali, Itanagar, Arunachal Pradesh.

5.      Delivered an invited talk on “Construction of graceful trees from Skolem sequences” and chaired a session in National Conference on Combinatorics and Graph Theory, during March 10-12, 2007, organized by Department of Mathematics, Saurashtra University, Rajkot, Gujarat.

6.      Delivered an invited talk on “Skolem gracefulness of 2-sitars” and chaired one session in Graph Theory Day III & International Conference on Recent Developments of Combinatorics and Graph Theory, during June 10-14, 2007, at Kalasalingam University, Anand Nagar, Tamil Nadu.

7.      Delivered four invited talks on Applications of Graceful and Skolem graceful Signed Graphs, in National Workshop on Uniform Hypergraphs at CR Reddy International Institute of Mathematics, Eluru, Andhra Pradesh during Jan 29- Feb 5, 2008.

8.      Delivered an invited talk on Graceful Signed Graphs on C3k , in 5th International Workshop on Graph Labelings,  Kalasalingam University, Krishnankoil, Tamil Nadu, during Jan. 07-10, 2009.

9.      Delivered 4 invited lectures on Graceful Graphs and its Application in Instructional Workshop on Graph Theory and its Application, Institute of Mathematics and Applications, Bhuvneshwer, during Dec.17 -21, 2009.

10.  Delivered 3 invited Lectures on Graceful Signed Graphs and its Applications, in National Workshop on Discrete Mathematics, Banasthali University, Rajasthan, during May 1-5, 2010.

11.   Delivered 4 invited lectures on Graph Labeling Problems and its Applications in refresher course in Mathematics in “Algebraic and Number Theoretic Aspects in Graphs and Applications” at UGC Academic Staff College, University of Mysore, Mysore, during     June 11-12, 2010.

12.  Delivered an invited talk on Neighborhood Magic Graphs in “National Conference in Distance in Graphs” during Oct. 3-5, 2010, at Department of Mathematics, Poorna Prajna College Udupi.

13.  Attended and presented a research paper entitled Graceful Signed Trees, International Conference on Recent Trends in Graph Theory and Combinatorics (ICRTGC-2010), Cochin University of Science and technology, Cochin, during August 12-15, 2010.

14.  Delivered an invited talk on Embedding Skolem Graceful Graphs in the Conference on Algorithms, Computing, Graph Theory and Combinatorics, at Vishvesvaraya Technological University Belgaum, during April 18-20, 2011.

15.   Delivered 3 invited talks on Graph Algorithms in National Instructional Workshop on Graph Theory and Applications at DST – Center for Interdisciplinary Mathematical Sciences (DTS-CIMS BHU), Banaras Hindu University, Varanasi, during May 23-28, 2011.

16.   Delivered an invited talk on Some Embedding Problems on Graceful Signed Graphs in Seventh Annual Conference of Academy of Discrete Mathematics and Application and Graph Theory Day VII at National Institute of Technology Calicut, during June 9-11, 2011.

17.  Acted as resource person in ISTE Approved Short Term Training Programme on Graphs and Algorithms, at Padre Conceicao College of Engineering, during July 4-9, 2011.

18.  Delivered an invited talk on Application of Linear Algebra in Graph Theory in National Conference on Linear Algebra and Applications at Milagres College Udupi, during August 4-5, 2011.  

19.  Acted as tutorial leader in Advanced School on Graph Algorithms, Department of Mathematics, Birla Institute of Technology and Science Pilani, KK Birla Goa Campus, Goa, during July, 23-27, 2012.

20.  Acted as Faculty Expert in Workshop on Mathematics Project Guidelines and Evaluation, organized by State Council for Educational Research and Training (SCERT), Govt. of Goa, Goa, on Sept.6, 2012.

21.   Attended and presented a paper entitled “Additively Graceful Signed Graphs” in Twenty first International Conference of FIM on Interdisciplinary Mathematics, Statistics and Computational Techniques IMSCT 2012 – FIM XXI at the Department of Statistics, Panjab University Chandigarh, during Dec. 15-17, 2012.

22.  Acted as a resource person in the panel discussion Is research a good career option? in Research Promotion Workshop on Introduction to Graph and Geometric Algorithms at the Department of Mathematics, Birla Institute of Technology and Science Pilani, KK Birla Goa Campus, Goa, during Jan. 17-19, 2013.

23.  Delivered two lectures on Discrete Mathematical Models and its Applications in a Workshop on A tribute to S. Ramanujan and Prof. S. Chandrashekhar (Life and Work) at Department of Mathematics, T.D. P.G. College (Purvanchal University Jaunpur) Jaunpur during April 18-22, 2013.

24.  Presented a paper on  d-Distance Neighborhood Magic Graphs  in 3rd International Conference on Discrete Mathematics (ICDM-2013) held at Karnataka University Dharwad,  during June 10-14, 2013.

25.  Attended a Workshop on MATHEMATICA at the Department of Mathematics, Birla Institute of Technology and Science Pilani, KK Birla Goa Campus, Goa, during July, 24-25, 2013.

26.  Delivered an invited talks on Hooked Skolem Graceful Signed Graphs  in The Third India-Taiwan Conference in Discrete Mathematics organized by Department of Mathematics, National Chiao Tung University, Hsinchu, Taiwan during November 19-22, 2013.

27.  Delivered an invited talk on  Neighborhood Magic Graphs: A Survey in  National Seminar on Recent Trends in Mathematics and its Applications organized by Department of Mathematics, Gogte Institute of Technology, Belgaum, Karnataka during Jan 28-29, 2014.

28.   Delivered 4 invited lectures on Applications of Graceful and Skolem Graceful Graphs(Signed Graphs, in an Instructional Workshop on Graph Labeling Problems, organized by n-CARDMATH (national center for advanced research in Discrete Mathematics) Kalasalingam University, Anand Nagar, Krishnan Kovil, Tamil Nadu during Feb. 5-11, 2014.

29.  Delivered an invited talk on  Application of Graph Theory in Partition Theory in a DST Sponsored Workshop on Thoughts on Mathematics at Department of Mathematics, T.D. P.G. College (Purvanchal University Jaunpur) Jaunpur during Nov. 2-6, 2014.

30.   Delivered an invited talk on (k,d)-Skolem Graceful Graphs, in 8th International Workshop on Graph Labelings,  Kalasalingam University, Krishnankoil, Tamil Nadu, during Dec.03- 06, 2014.

31.  Delivered an invited talk on  d-Distance Neighborhood Magic Graphs in  National Conference in Graph Theory and its Applications(NCRTGTA-2015) organized by Department of Mathematics, Mangalore University, Mangalore during Feb.5-6, 2015.

32.   Delivered an invited talk on Some Neighborhood Magic Graphs in National Conference on Discrete Mathematics and its Applications organized by Department of Mathematics, Manonmaniam Sundarnar University, Tirunelveli, Tamil Nadu during July 15-17, 2015.

33.   Delivered an invited talk on New Measures of Gracefulness of Graphs in Indo-Hungarian Pre-Conference School of Conference on Algorithm and Discrete Applied Mathematics (CALDAM 2016) organized by Department of Future Studies, University of Kerala, Thiruvanathpuram, during Feb.18-20, 2016. 

34.  Delivered five invited talks Labeling of Signed Graphs and their Applications in ADMA Pre-Conference Workshop on Recent Advances in Signed Graphs and their Applications, organized by Department of Mathematics, Siddaganga Institute of Technology, Tumkur, Karnataka, during June 06-08, 2016.

            
                      35. Delivered an invited talk on S-Magics Graphs,in International Conference on Current Trends in Graph Theory and Computation at South Asian University, New Delhi, during September 17, 19, 2016.
     

Workshop Organized

1.      Organizer of "3rd Group Monitoring Workshop cum 6th meeting of re-constituted expert panel on FAST TRACK PROPOSALS FOR YOUNG SCIENTISTS" in Physical and Mathematical Sciences held at BITS-Pilani Goa Campus during Jan. 11-12, 2007.

2.      Member of the organizing committee of the International Workshop on "Advances in Computational Partial Differential Equations" holding at BITS-Pilani K.K. Birla Goa Campus from February 7 to March 5, 2011.

3.      Organizer of Instructional Workshop on Graph Theory and Applications during at BITS Pilani KK Birla Goa Campus, Goa, April 28-29, 2011.

4.      Academic Coordinator of National Instructional Workshop on Graph Theory and Applications, at DST Center for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi, during May 23-29, 2011.

5.      Organizer of School on Graph Algorithms during at BITS Pilani KK Birla Goa Campus, Goa, December 15-19, 2011.

6.      Convener of a National level “Advanced School on Graph Algorithms” at BITS Pilani KK Birla Goa Campus, Goa, sponsored by National Board of Higher Mathematics NBHM and Department of Science Technology and Environment (DSTE) Goa, during July 23-27, 2012.

7.       Local convener of Research Promotion Workshop on Introduction to Graph and Geometric Algorithms, at BITS Pilani KK Birla Goa Campus, Goa, sponsored by National Board of Higher Mathematics NBHM in collaboration with School of Technology and Computer Science, Tata Institute of Fundamental Research(TIFR) Mumbai, during Jan. 17-19, 2013.

Research and Consultancy

  • Guided 3 Students for M.Phil. Degree, Bharthiyar University Coimbatore.
  • Reviewed 10 research papers for Mathematical Review.
  • Refereed 20 research papers for national and international journals.
  • Guided 01 Ph.D. student in BITS Pilani KK Birla Goa Campus, Goa

Title of Ph.D. Thesis: Studies in Graceful Labeling of Graphs and Its Variations (2016).

Name of Ph.D. Student: Mrs. Jessica Fernandes 
 
  • Guiding 2 Ph.D. Candidates in BITS Pilani KK Birla Goa Campus.
  • Guided  First Degree Projects in BITS Pilani KK Birla Goa Campus:
    • Computer Project: 10 students (Number Theory and Application to Graph Theory).
    • Study Oriented Project: 10 students (Graph Theory, Algorithmic Graph Theory, Spectral Analysis, Integral Transforms and Networks).
    • Special Project: 01 students,
    • Reading Course in Cryptography, Advanced Graph Theory.
    • Examiner of Pre Ph.D. Qualifying Examination for 8 candidates in BITS Pilani Goa K.K. Birla Goa Campus.

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