Department of Mathematics

Total Experience (includes Teaching, Industry & Research)

Total – 13 Years

Specialization/ Major areas of  Research

Graph Theory, Number Theory, Algebra

Courses Handled

Calculus, Algebra, Complex Number, Real Analysis, Number Theory, Graph Theory, Discrete Mathematics, Linear Algebra, Operation Research, Mathematical Statistics, Allied Mathematics, Applied Mathematics

DegreeOrganization/InstitutionSpecializationYear of Passing
Ph.DSeethalakshmi Ramasamy College for WomensGraph Theory2017
M.PhilAnnamalai UniversityAlgebra2008
PGAnnamalai UniversityMathematics2002
UGAnnamalai UniversityMathematics1999

Paper Presentations

  • Harmonious Colouring of Some Graphs in HICAMS at Bishop Heber College, Trichy in the year 2011.
  • Terminal Detour Polynomial and Wiener Polynomial of Cn+ and Kn+r in the International Conference on Mathematics in Engineering at Stella Maris College, Chennai in the year 2012.
  • Three-polynomial in One Matrix in the International Conference on Mathematics at Vijayawada in the year 2012.
  • Three Reverse Polynomial in One Matrix in the International Conference on Mathematics at Seethalakshmi Ramaswami College, Trichy in the year 2013.
  • New Topological Indices Of Silicate Network, ICDMA -2020 International conference on Algebra and Discrete Mathematics ( Webinar) , June 24-26, 2020, ISBN : 978-81-944843-2-5
  • Hyper Wiener Index of Certain Graphs by Computational Programs, PMTIA – 2022, International virtual Conference on, Progress in Mathematics towards Industrial Applications, SRMIST, Ramapuram, October 28 & 29, 2022, ISBN : 978-81-957695-3-7
  • A solution of Fuzzy assignment problem using standard ratio mean method – International conference on Advances in pure and applied mathematics (ICAPAM-2023), Ganpat University.

Journal Publications

  • Three-polynomial in One Matrix in Mathematical Sciences, International Research Journal, ISSN: 2278-8697.
  • Detour sum and Wiener sum of Chain Diamond Silicate Network, Bulletin of Pure and Applied Sciences, Vol.31E (Math & Stat.), Issue No.2012, pp.67-72.
  • Detour polynomial and Wiener polynomial of Y-tree and F-tree, Bulletin of Pure and Applied Sciences, Vol.31E (Math & Stat.), Issue No.2012, pp.9-13.
  • Circular Index of Cartesian Product of Path graph and Cycle Graph, International Journal of Pure and Applied Mathematics,Vol:117, No.11 DEC 2017,177-182, ISSN: 1311-8080(Printed Version ), ISSN: 1311-8080  (online  Version )
  • Circular Index for the Book, Fan and Tridegreed Graphs, International Journal of Recent Technology and Engineering (IJRTE), July – 2019, Volume : 8 ,Issue- 2S3, 2277-3878, 743-746 ( Scopus Indexed Journal )
  • Circular Index of The Mangoldt and Circulant Graphs, Studies  in Indian Place  Names, March 2020,Vol: 40, Issue:60,  2394-3114, 5852 – 5869,  Impact factor : 6.3 (UGC Care Listed Journal)
  • Generalization of New Degree Based Topological Indices of Silicate Network Graph, Journal Of Physics(Conference Series), IOP Publishing, doi:10.1088/1742-6596/1724/1/012034.
  • Gourava Indices and Inverse sum indegree index of finite super subdivision of cycle and path graph, Sambodhi, ISSN:2249-6661, Vol-43,No-03,(III) November- December  (2020)(UGC  Care Journal)
  • Indo – Asian Best Teacher Award 2023 by International Multidisciplinary Research Foundation, Vijayawada
  • Question Paper Setter for various colleges and Universities from the year 2016
  • Being an Examiner for Central Valuation in Various Autonomous Colleges and Bharathidasan University.
  • Guided UG and PG Students for their Projects
  • Completed 8 weeks & 12 weeks NPTEL Online courses and got ELITE Certificate.
  • Organized Member in an International Conference (ONLINE) in the year 2020-2021 in the Department of Mathematics, HCC, Trichy.
  • Received Cash Award for producing 100% result in Anna University examination.
  • Recognised as a Research Supervisor from Bharathidasan University (M.Phil) and SRM IST, Trichy ( Ph.D)

Dr.P. SelvaraniAssistant Professor,Department of MathematicsJUNEFDP on Software Tools using Mathematical ComputationFDP (online)Muthayammal Engineering College, RasipuramNational5.06.2023 -9.06.2023Learnt comptational techniques
Dr.P. SelvaraniAssistant Professor,Department of MathematicsJUNE16-day International Online FDP on Teaching , Learning and AssessingFDP(online)RAMAPURAM CAMPUSInternational06.06.2023 – 23.06.2023Technology version of teaching in 2030
Dr.P. SelvaraniAssistant Professor,Department of MathematicsJUNEFDP on Discrete MathematicsFDP ( Online)VIT, VelloreNational13 – 06-2023 to 17 – 06- 2023Learnt new rechniques
Dr.P. SelvaraniAssistant Professor,Department of MathematicsJUNEIncluding Universal Human Values in Technical Education(UHV -1)FDP(online)AICTENational12.06.2023 to 16.06.2023Right Understanding of Human Values
Dr.P. SelvaraniAssistant Professor,Department of MathematicsJUNEApplied Mathematics and ComputingWork shopMadhav institute of Technology & ScienceGwaliar12/6/2023 to 16/6/2023To gain knowledge in computational Mathematics
Dr.P. SelvaraniAssistant Professor,Department of MathematicsJULYInternational Virtual FDP on ”Frontiers of Mathematics”International Virtual FDPSRMIST, Ramapuram CampusInternational5.7.2023 – 19.7.2023Advances in various research topics
Dr.P. SelvaraniAssistant Professor,Department of MathematicsJULYMathematics in Real Applied and Computational DomainsFDP(online)SATHYABAMA INSTITUTE OF SCIENCE AND TECHNOLOGYinternational03.07.2023-08.07.2023Real life Applications of Mathematics
Dr.P. SelvaraniAssistant Professor,Department of MathematicsJULYNPTEL E-Awareness workshopWorkshopIIT Madras & SRM Arts & Science College, TrichyNational24.07.2023How to register and clear exams in NPTEL
Dr.P. SelvaraniAssistant Professor,Department of MathematicsJULY“Unlocking Innovation: Exploring
Research, Innovation and Patents (UIERIP-2023)”
FDP(online)Department of Mechanical Engineering, SVERI’s College of Engineering, PandharpurNational17.07.2023-22.07.2023How to do good research and how to get patents
Dr.P. SelvaraniAssistant Professor,Department of MathematicsAugustGraph Theory with Python: A Two-Day Online Hands-On Workshop to Unlock its PowerWorkshop (2 days)Indian Mathematics Professors Association (IMPA) and Infinity Research and Development Institute.National12-8-2023 & 13-8-2023to know how the sofeware uses in graph theory
Dr.P. SelvaraniAssistant Professor,Department of MathematicsAugustLinear Algebra And its ApplicationsWorkshopThe NorthCap UniversityInternational21-8-2023 to 25-08-2023got New Research idea

Academic Experience:

  • Organization: SRM Institute of Science and Technology

      Designation :      Assistant Professor

      Period           :      September 2022 to till  date


  • Organization: Holy Cross College, Trichy.

    Designation :        Assistant Professor

    Period           :         June 2015 to March 2021 ( 5 years  and  10 months)


  •  Organization: Shri Angalamman College of Engg. & Tech., Trichy.

    Designation :        Assistant Professor

    Period           :         June 2011 to September 2013 (2 Years and 3 Months).


  • Organization: Srimad Andavan Arts and Science College, Trichy.

    Designation :         Lecturer

    Period           :         May 2008 to April 2011 (3 Years).


Industry Experience: NIL

Research Experience:

  • Part Time Research Scholar from 01.04.2012 to 12.06.2015 in Seethalakshmi Ramasamy College, Trichy, Affiliated to Bharathidasan University.


  • Life Membership at Indian Mathematical Society