FRANCIS RAJ S Assistant Professor

Profile Picture

  • Department of Mathematics
  • Ramanujan School of Mathematical Sciences
  • francisraj_s@yahoo.com

Academic Activity

Academic Activity Picture1

Academic Activity Picture2

Educational Qualification (UG,PG & Higher Order)

S.No Degree Subject/Title of thesis University/Board Year of Passing
1 Ph.D. Coloring and distances in graphs SASTRA University, Thanjavur 2009

Area of Specializaion

Graph Theory

Awards / Prizes Conferred

S.No Name / Title of the Award Type Name of the Agency conferred the Award Year of the Award Amount for Cash Award
1 IMS prize for the year 2009 for presenting the best research paper in the area of Discrete Mathematics NATIONAL Indian Mathematical Society 2009 nil

Teaching Experience

S.No Designation Department/Centre Institution
1 Assistant Professor Mathematics Pondicherry University

Research Experience

S.No Designation Department/Centre Institution Area of Research
1 Post Doctoral Fellow Mathematics Bharathidasan University Graph Theory
2 Senior Research Fellow Mathematics SASTRA University Graph Theory
3 Junior Research Fellow Mathematics SASTRA University Graph Theory

Industry Experience

S.No Designation Company/Corporate Nature of Work

Contribution towards Innovation

S.No Name of the Work/Contribution Specialization Remarks

Patent Details

S.No Title Status Patent Number Year of Award Type Commercialized Status

Papers Published in UGC Approved Journals

S.No Title Name of the Authors as per the order in Paper Journal Name Volume, Issue & Page Nos. Year Impact Factor

Papers Published in Peer Reviewed Journals

S.No Title Name of the Authors as per the order in Paper Journal Name Volume, Issue & Page Nos. Year Impact Factor
1 Indicated coloring of some classes of graphs P. Francis, S. Francis Raj, M. Gokulnath Graphs and Combinatorics 35, 1105–1127 2019 0.597
2 Indicated coloring of cartesian product of some families of graphs P. Francis, S. Francis Raj ARS Combinatoria accepted 2019 0.210
3 On b-coloring of powers of Hypercubes P. Francis and S. Francis Raj Discrete Applied Mathematics 225, 74-86 2017 1.041
4 On two Conjectures on b-coloring of graph products S. Francis Raj, T. Kavaskar Studia Sci. Math. Hungar 54(1), 141–149 2017 0.364
5 On Indicated Chromatic number of graphs S. Francis Raj, R. Pandiya Raj, H.P.Patil Graphs and Combinatorics 33 203–219 2017 0.597

Papers Published in Conference Proceedings

S.No Title Name of the Authors as per the order in Paper Details of Conference Publication Page Nos. Year
1 b-coloring of the Mycielskian of regular graphs S. Francis Raj, M. Gokulnath CALDAM 2019, Lecture notes in Computer Science LNCS 11394, 91-96 2019
2 On Indicated Coloring of some classes of graphs P. Francis, S. Francis Raj, M. Gokulnath CALDAM 2018, Lecture notes in Computer Science 10743, 73-80 2018
3 The b-chromatic number of powers of Hypercube P. Francis, S. Francis Raj Electronic Notes in Discrete Mathematics 53 , 459–464 2016

Books

S.No Title of the Book Name of the Authors as per the order in Book Publisher Year ISBN No.

Chapters in Books

S.No Title of the Chapters Name of the Authors Title of the Book Publisher Year ISBN No.

Edited Books

S.No Title of the Book Name of the Authors as per the order in Book Publisher Year ISBN No.

Ongoing Projects

S.No Title of the Project Sponsored By Period Sanctioned Amount(Rs. Lakh) Year
1 SomeProblemsonb-coloringand Indicated Coloring of Graphs Department of Science and Technology 3 years 14,45,180 2017

Ongoing Consultancy Works

S.No Title of the Consultancy Work Sponsored By Period Sanctioned Amount(Rs. Lakh) Year

Completed Projects

S.No Title of the Project Sponsored By Period Sanctioned Amount(Rs. Lakh) Year

Completed Consultancy Works

S.No Title of the Consultancy Work Sponsored By Period Sanctioned Amount(Rs. Lakh) Year

Career Guidance Offered to students

S.No Name of the Scheme No. of Students Competitive Examinations/ Career Counseling No. of Students Passed No. of Students Placed

List of capability enhancement such as Soft skill development, Remedial coaching, Language lab,
Bridge courses, Yoga, Meditation, Personal Counselling and Mentoring etc.,

S.No Name of the Programme/Scheme Date of Implementation No. of Students Enrolled Agencies Involved

Research Guidance - PG

S.No Year Degree No. of Students Awarded Department/Centre

Research Guidance - Ph.D

S.No Student Name Registration Date Registration No. Thesis Title Thesis Submitted Status Thesis Submitted Date Vivavoce Completed Status Date Awarded
1 Francis. P 24-08-2012 PHD 1313 A study on b-coloring and indicated coloring of graph YES 12-02-2018 YES 29-08-2018

Research Guidance - Post Doctoral

S.No Scholar Name Designation Funding Agency Fellowship Title Year of Joining Year of Completion

Financial assistance availed to attend conferences / workshops and to pay membership fee
of professional bodies during the year

S.No Conference/ workshop attended for which financial support provided Professional body for which membership fee is provided Amount of Support Place From Date To Date Year
1 Third India Taiwan Conference on Discrete Mathematics No memberhip fee 43000 (approx.) National Chiao Tung University, Hsinchu, Taiwan 19-11-2013 22-11-2013 2013

E-Lecture Details

S.No E-Lecture Title Development of e-content/e-learning/delivering Member of Editorial Bodies Reviewer/Referee of
Content/Module Title Institution/Platform Year Weblink

Details of Online Education Conducted

S.No Nature of Online Course No. of Sessions Target Group Date

Invited Talks in Conference/Seminar/Workshop/Training Programme

S.No Title of the Paper Conferences/Seminar/Workshop/Training Programme Organized by Whether International / National / State / Regional / College or University Level From To Year
1 Interpolation Theorems in Graph Coloring India-Taiwan Conference on Discrete Mathematics Department of Mathematics, IIT BHU International 15-11-2019 18-11-2019 2019
2 Graph Coloring National Seminar Department of Mathematics Fatima College, Madurai National 30-01-2019 30-01-2019 2019
3 On b-coloring of powers of hypercube International Conference on Discrete Mathematics Department of Mathematics St. Josephs College International 07-01-2019 09-01-2019 2019
4 Interpolation Theorems in Graph Coloring 14th annual ADMA conference and Graph Theory day 2018 DA-IICT & IIT Gandhi nagar National 06-06-2018 10-06-2018 2018

Conferences/Seminars Organized

S.No Title of the Programme Sponsors Venue & Duration Whether International / National / State / Regional / College or University Level From To Year
1 International Conference on Graph Theory and its applications DST & Pondicherry Univerity Department of Mathematics International 15-07-2015 16-07-2015 2015

Workshop Organized

S.No Title of the Programme Sponsors Venue & Duration Whether International / National / State / Regional / College or University Level From To Year
1 National Workshop on Graph Coloring and Algebraic Graph Theory UGC-SAP DRS II Department of Mathematics & 5 days National 06-03-2018 10-03-2018 2018

Administrative Responsibilities in the Government and Quasi Government Agencies

S.No Name of the Position Agency/Organisation Duration Nature of Duties

Affiliation in Academic Bodies/Societies

S.No Name of the Body/Society Nature of Affiliation Year

Participation & Extension Activities (Academic/Administraion)

S.No Name of the Position (Head, Dean, Co-ordinator, Director, etc.,) Duration Nature of Dutites

Participation & Extension Activities (Co-Curricular)

S.No Name of the Position (NSS, NCC, Warden etc.,) Duration Nature of Dutites

Collaboration with Institution/Industry

S.No Collaborator Name Designation Institution/Industry Type Nature of Collaboration Period of Collaboration Visits to Collaborating
Institution / Industry
Details of Collaborative Research/Teaching
From Date To Date From Date To Date

Faculty Development Programme Attended (Orientation, Refresher, other Short Term Course during the year)

S.No Title of the FDP Organiser Venue Duration From Date To Date Year

Details of Executive Development Prog/Management Development Prog. conducted

S.No Name of the Programme No. of Participants Venue Duration From Date To Date Year Revenue Generated

Participation in IMPESS, IMPRINT, SPARC, STARS, LEAP Programme etc and DSF Funding Programme

S.No IMPRESS/IMPRINT/SPARC/STARS/LEAP/Others Place From Date To Date Year

Enrolment under ARPIT Programme

S.No Name of the Programme Period of the Programme
From Date To Date