Dr. S. Francis Raj

Designation: 
Assistant Professor
Gender: 
Male
Academic
Academics: 
DegreeSpecializationUniversity / InstitutionYear of Completion
1Ph.D.Graph TheorySASTRA University2009
2M.Phil.MathematicsSt.Joseph’s College, Bharathidasan University2005
3M.Sc.MathematicsSt.Joseph’s College, Bharathidasan University2003
Area of Specialization/Interest: 

Graph Theory

Publications (in last 3 years): 

Papers published/ accepted for publication

  1. R. Balakrishnan and S. Francis Raj, Connectivity of the Mycielskain of a graph, Discrete Mathematics, 308, 2607 – 2610, (2008)
  2. R. Balakrishnan and S. Francis Raj, The Wiener number of Kneser Graphs, Discussiones Mathematicae Graph Theory, 28, 219-228, (2008).
  3. S. Francis Raj and R. Balakrishnan, Bounds for the b-chromatic number of vertex deleted subgraphs and the extremal graphs, Electronic Notes in Discrete Mathematics, 34, 353-358, (2009).
  4. R. Balakrishnan and S. Francis Raj, The Wiener number of powers of the Mycielskian, Discussiones Mathematicae Graph Theory, 30 (3),489-498, (2010).
  5. R. Balakrishnan and S. Francis Raj, Bounds for the b-chromatic number of the Mycielskian of some families of graphs, to appear in Ars Combinatoria.
  6. S. Francis Raj, Super connectivity of the Generalised Mycielskian of Digraphs, Lecture notes in Computer Science, 7643, 122-124 (2012).
  7. R. Balakrishnan and S. Francis Raj, Bounds for the b-chromatic number of  G-v, Discrete Applied Mathematics, 161 (9), 1173-1179 (2013).
  8. S. Francis Raj, Connectivity of the Generalised Mycielskian of Digraphs, Graphs and Combinatorics, 29,  893–900 (2013).
  9. R. Balakrishnan, S. Francis Raj and T. Kavaskar, Bounds for the b-chromatic number of Cartesian product of graphs, Graphs and Combinatorics, 30, 511-520 (2014).
  10. R. Balakrishnan, S. Francis Raj and T. Kavaskar, b-coloring of Cartesian product of odd graphs, to appear in ARS Combinatoria.

Papers presented at International Conferences

  1. Wiener number of Kneser Graphs - International conference on Discrete Mathematics, IISc Bangalore, 15-18, Dec 2006.
  2. Connectivity of the Mycielskian of a graph - International Conference on Recent Developments in Combinatorics and Graph Theory, Kalasalingam University, Krishnankoil, 10-14, June 2007.
  3. Some bounds for the b-chromatic number of the Mysielskian of some families of graphs- International conference on Discrete Mathematics, University of  Mysore, Mysore, 6-11 June 2008.
  4. Bounds for the b-chromatic number of the Mycielskian of some families of graphs-II, International conference on Graph Theory and its applications, Amrita University, Coimbatore, 11-13 December 2008.
  5. Bounds for the b-chromatic number of  G-v, Jubilee conference on Discrete Mathematics, Banasthali University, Jaipur, 11-13 January 2009.
  6. Connectivity of the Generalised Mycielskian of digraphs,  International Conference on Recent Trends in Graph Theory and Combinatorics, ICRTGC 2010, Cochin University, 12-15 August 2010.
  7. Super connectivity of Generalised Mycielskian of graphs, 23rd International Workshop on Combinatorial Algorithms IWOCA 2012, Kalasalingam University, Krishnan Kovil, 19-21 July, 2012.

Papers presented at National Conferences

 (i) The Wiener number of Mycielskian of a graph and some product graphs- National conference on Algebra, Graph Theory and their Application, MS University, Tirunelveli 5 – 7 December 2007.
 (ii) Connectivity of the Generalised Mycielskians, 75th Annual Conference of  the Indian Mathematical Society, Kalasalingam University, Krishnankoil, 27-30 December 2009.

Seminars/Conferences/Workshops Conducted(Last 3 Years): 

Invited/ Contributed Talks/ Special Invitee

  • I gave an invited talk at the International Conference on Algebra and Discrete Mathematcis held at Government College, Kattappana, Kerala during 4-6 March 2014.
  • I gave an invited talk at the Third Indo-Taiwan  Conference in Discrete Mathematics held at National Chiao Tung University, Hsinshu Taiwan during  19 -22, November 2013.
  • I gave an invited talk at the State level seminar on New Trends in Graph Theory held at Ayya Nadar Janaki Ammal College, Sivakasi on 13th September 2013.
  • I gave an invited talk at the National Conference on graph Theory and its Application held at PKR college for women, Gopichettipalayam on 22 August 2013.
  • I gave an invited talk at the National Conference on graph coloring and its Application held at Dr. Ambedkar Institute of Technology, Bangalore during 27-28, July, 2013.
  • I gave an invited talk at the International conference on Discrete Mathematics (ICDM 2013) on "Mycielski Construction" held at the Karnatak University, Dharwad during 10-15 June 2013.
  • I gave a series of three lectures at the Faculty development programme on “Graph Theoretic Applications in Engineering” held at Government College of engineering, Bargur during 7-13 February 2013.
  • I gave an invited talk at the National Workshop on graph coloring (NWGC 2013) on “b-coloring of regular graphs” held at Indian Statistical Institute Chennai centre, Chennai during 25-27 January 2013.
  • I gave an invited talk at the National Seminar on recent trends in coloring of graphs and digraphs held at Sethupathy government arts college, Ramanathapuram, during 24-25, August, 2012.
  • I gave an invited talk at the National Seminar on Discrete Mathematics and its Applications on “Some Problems on graph coloring” held at Periyar Maniammai University, Thanjavur on 27 July 2012.
  • I was a special invitee for the Second India-Taiwan Conference on Discrete Mathematics which is going to organized at the Amrita University, Coimbatore during 8-11, Sepetember 2011.
  • I gave an invited talk at the National Workshop on Decomposition of graphs and Product graphs held at Periyar University, Salem during 22-25, June 2011.
  • I gave an invited talk at the International Workshop on Graph Coloring and its Applications held at Bharathidasan University, Tiruchirappalli during 7-9, August 2010.
  • I gave an invited talk at the Sixth Annual Conference of the ‘ Academy of Discrete Mathematics and Applications’ and Graph theory day VI held at the College of Engineering, Pune during 8 – 10, June 2010.
  • I gave an invited talk at the Instructional Workshop on graph Colorings held at Kalaslingam University, Krishnankoil during 10-15, March 2010.
  • I gave an invited talk at the First Indo-Taiwan  Conference in Discrete Mathematics, conducted at the National Taiwan University, Taipei 10617, Taiwan during  9 -12, November 2009.
  • The paper “Bounds for the b-chromatic number of vertex-deleted subgraphs and the extremal graphs”, was accepted for presentation at Eurocomb09 (European Conference on Combinatorics, Graph Theory and Applications) held during 7-11, September 2009 at University of Bordeaux, France. Unfortunately, due to delay in Visa processing, I was not able to attend the conference.

Conferences/ Workshop organized

I was the coordinator in organizing the Workshop on recent trends in Graph Theory and its Applications held at Pondicherry University, Pondicherry during 7-9 February 2011.

Seminars/Conferences/Workshops Participated(Last 3 Years): 

Conferences Attended

I have attended more than 30 conferences national and international.

Honours / Awards (if any): 

Medals, Awards and Fellowships obtained

  1. IMS prize for the year 2009 for presenting the best research paper in the area of Discrete Mathematics at the 75th Annual Conference of the Indian Mathematical Society.

  2. My paper “The Wiener number of Kneser Graphs” published in Discussiones Mathematicae Graph Theory has been placed in the list of Top twenty HOTTEST articles published in that journal over the past one and half years. Currently it is ranked fifteenth (this may be seen in the journal’s website. Also it was ranked first in 2008-2009).

  3. 2009-2010: UGC Dr.D.S. Kothari Post Doctoral Fellow (PDF) at the Bharathidasan University, Tiruchirappalli, India.

  4. 2007-2009  : Senior Research Fellow (SRF) in a Project under Department of   Science and Technology, India at Srinivasa Ramanujan Center, SASTRA University, Kumbakonam, India.

  5. 2005-2007  : Junior Research Fellow (JRF) in a Project under Department of   Science and Technology, India at Srinivasa Ramanujan Center, SASTRA University, Kumbakonam, India.

  6. I obtained 21D rank among the top scorers in the senior level Final test held by the Association of Mathematics Teachers of India in October 2000.

  7. I was my institution gold medalist in M.Phil., M.Sc., and B.Sc. Mathematics.

Contact Details
Telephone No: 
0413-2654705
Email: 
francis.mat@pondiuni.edu.in, francisraj_s@yahoo.com