BITS Pilani

  • Page last updated on Sunday, July 04, 2021

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 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.
  7. Appointed as a University Nominee of Visvesvaraya Technological University to the Board of Studies in Mathematics of Siddaganga Institute of Technology, Tumkuru, for two years (07/07/2017 to 06/07/2019).
  8. Member of Committee for promotion and compounded increments, Directorate of Higher Education, Govt. of Goa as subject expert.
  9.  Subject Expert in Goa Public Service Commission, Govt. of Goa.

Academic Meeting/Workshops/Conferences


  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, also chaired one session.
  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 (IWOGL 2009),  Kalasalingam University, Krishnankoil, Tamil Nadu, during Jan. 07-10, 2009, also chaired a session.
  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, also chaired one session.
  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, also chaired two sessions.
  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, 2012also chaired a session.
  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, also chaired a session.
  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 (IWOGL 2014),  Kalasalingam University, Krishnankoil, Tamil Nadu, during Dec.03- 06, 2014 also chaired a session.
  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 also chaired a session.
  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-magic Graphs in International Conference on Current Trends in Graph Theory and Computation  in South Asian University, New Delhi, during Sept. 17-19, 2016, and also chaired two sessions.
  36.  Delivered an invited talk on d-Distance Magic Labeling of Graphs in International Conference on Theoretical Computer Science and Discrete Mathematics (ICTCSDM 2016) organized by n-CARDMATH, Kalasalingam University Krishnankoil during Dec.19-21, 2016 and chaired a session.
  37. Delivered five invited talks Graph Labeling and its Variations in Two Weeks Faculty Development Program on Graph Theory: Algorithms & Applications, organized by Department of Mathematics, BMS College of Engineering, Bangaluru (Sponsored by Technical Eduation Quality Improvement Program TEQIP-II) during Dec. 26, 2016-Jan 07, 2017.
  38. Delivered an invited talk on S-magicness and Integer Partitioning, in UGC sponsored National Conference on Recent Advances in Mathematical Sciences (RAIMS-2017) at Govt. Science College, Bangaluru, during Feb.09-10, 2017.
  39. Chaired a session on Graph Algorithms in International Conference on Algorithms and Discrete Applied Mathematics (CALDAM 2017), organized by the Department of Mathematics, BITS Pilani K K Birla Goa Campus, during Feb. 16-18, 2017.
  40. Attended a workshop on TEACHING STRATEGIES IN MATHEMATICS organized by the Department of Mathematics, BITS Pilani K K Birla Goa Campus, during April 28-29, 2017.
  41. Delivered an invited talk on  Distance Magic and Antimagic Labeling of some Graphs in National Conference on Graph Theory and Discrete Mathematics organized by Department of Mathematics, Mangalore University, Mangalore during Feb.5-6, 2018, also chaired a session.
  42. Delivered an invited talk on S-Magics and Nearly Magic Labeled Graphs in International Conference on Recent Trends in Graph Theory and Combinatorics (ICRTGC 2018) organized by Department of Mathematics, Cochin University of Science and Technology, Cochin India during April 26-29, 2018.
  43. Delivered an invited talk on S-Magics and Nearly Magic Labeled Graphs in 10th International Workshop on Graph Labeling (IWOGL 2018) organized by School of Computer Science, Ball State University,  Muncie, during September 26-28, 2018 through Webex.
  44. Delivered an invited talk on (k,d)-hooked Skolem Graceful Graphs, in International Conference on Graph Theory and its Applications at Department of Mathematics, Amrita Vishwa Vidyapeetham, Coimbatore, during Jan.04-06, 2019 and also chaired a session.
  45. Attended and chaired a session in 6th India-Taiwan Conference on Discrete Mathematics(ITCDM-2019), at Department of Mathematical Sciences, IIT-BHU, Varanasi, during Nov.15-18, 2019.
  46. Delivered an Invited talk on  Application of Some Domination Parameters of Graphs, National Webinar on Applications of Mathematics and Contemporary use of its Scientific & Technical Terminology in Hindi (AM-CUSTT-H-2020), jointly organized by Commission for Scientific and Technical Terminology, MHRD, Govt. of India, India and School of Computational and Integrative Sciences, JNU, New Delhi, during, June 14-16, 2020. 
  47. Delivered an invited talks on (k,d)-Skolem Graceful Graphs, in International Conference on  Recent Trends in Mathematics to Graphs, Newworks and Petri Nets (ICRTMA-GPN-2020) at School of Computational and Integrative Sciences, JNU, New Delhi, during July 20-24, 2020 also chaired two sessions. 
     

Workshops/Conferences 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.
  8. Organized a Indo-German Pre-Conference School on Algorithms and Combinatorics from February 13         -14, 2017 in collaboration with RKM Vivekananda University, Belur Math and Karlsruhe Institute of Technology, Germany.
  9. Organized 3rd International  Conference on Algorithms and Discrete Applied Mathematics(CALDAM-2017) during February 16-18, 2017.
  10. Organized an International Conference on Discrete Mathematics and its Applications to Network Science (ICDMANS-2018) during July 7-10, 2018.
 

Research and Consultancy

  • Guided 3 Students for M.Phil. Degree, Bharthiyar University Coimbatore.
  • Reviewed 20 research papers for Mathematical Review.
  • Refereed 50 research papers for national and international journals.
Guided 02 Ph.D. student in BITS Pilani K K Birla Goa Campus, Goa:

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

Name of Ph.D. Student: Mrs. Jessica Fernandes 
 
2. Title of Ph.D. Thesis: Studies in Neighborhood Magic Graphs (2021).
 
 Name of Ph.D. Student: Mr. Aloysius Godinho Querobino
 
Guiding 03 Ph.D. Candidates and one project JRF:
  • Adarsh  Kumar Handa (Submitting the Ph.D. thesis  by July 31, 2021.
  • Natash D souza P.
  •  Ravindra Kuber Pawar (Project JRF)
Guided  First Degree Projects in BITS Pilani K K Birla Goa Campus:
  • Computer Project: 10 students (Number Theory and Application to Graph Theory).
  • Study Oriented Project: 34 students (Graph Theory, Algorithmic Graph Theory, Spectral Analysis, Integral Transforms and Networks, CD Coloring of Graphs, Algebraic Graph Theory).
  • Design Project: 14 students
  • Special Project: 02 students
  • Reading Course in Cryptography, Advanced Graph Theory, Advanced Graph Algorithms.
  • Examiner of Pre Ph.D. Qualifying Examination for 8 candidates in BITS Pilani Goa for students of the department of mathematics, biological Sciences, mechanical engineering .
  • First Degree Thesis: 08 students.
The following research papers are under preparation as output of the Computer
project/Design project:
 
1. Chigger inequality of some scale free networks (jointly Krunal Patel, R.P. Joshi from
Computer Science Department of BITS Goa)
2. Secure Domination of Grid (Jointly with Devvrit and Sarthak Moorjani)
3. Majority Domination of Some Graphs(Jointly with Sarthak Moorjani, Subhi Jain and
Natasha D Souza).

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