T. ASIR Associate Professor

Profile Picture

  • Department of Mathematics
  • Ramanujan School of Mathematical Sciences
  • asirjacob75@gmail.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 PhD A study on interlink between commutative rings and graphs Manonmaniam Sundaranar University, Tirunelveli 2012
2 M.Phil. Mathematics Manonmaniam Sundaranar University, Tirunelveli 2009
3 M.Sc. Mathematics Manonmaniam Sundaranar University, Tirunelveli 2008
4 B.Sc. Mathematics Manonmaniam Sundaranar University, Tirunelveli 2006

Area of Specializaion

Algebraic Graph Theory; Combinatorial Commutative Algebra

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 Young Scientist Awards NATIONAL Academy of Sciences, Chennai (Formally Tamilnadu Science Academy) 2020 20000
2 University second rank REGIONAL Manonmaniam Sundaranar University, Tirunelveli 2009 -
3 Gold Medal REGIONAL St. Xaviers College, Tirunelveli 2008 -

Teaching Experience

S.No Designation Department/Centre Institution
1 Assistant Professor (SF) Mathematics St. Johns College, Tirunelveli, India
2 Assistant Professor (Ad-hoc) Mathematics St. Johns College, Tirunelveli, India
3 Assistant Professor Mathematics Madurai Kamaraj University, Madurai
4 Associate Professor Mathematics Pondicherry University

Research Experience

S.No Designation Department/Centre Institution Area of Research
1 UGC-Major Project Fellow Mathematics Manonmaniam Sundaranar University Algebraic graph theory
2 DST-INSPIRE Fellow Mathematics Manonmaniam Sundaranar University Algebraic graph theory
3 UGC-Dr. D. S. Kothari Postdoctoral researcher Mathematics Manonmaniam Sundaranar University Algebraic graph theory
4 UGC-Dr. D. S. Kothari Postdoctoral researcher Mathematics Manonmaniam Sundaranar University Algebraic 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
1 The Betti numbers of the edge ideals of a class of graphs due to Grimaldi and their complements T. Ashitha, T. Asir, D. T. Hoang and M. R. Pournaki Bulletin of the Malaysian Mathematical Sciences Society 47, 136 2024 1.397
2 On strong secure domination number of a graph T. Alsuraiheed, A. Mercy, B. Michael Raj and T. Asir Mathematics 12(11), 1666 2024 2.592
3 Some bounds for the regularity of the edge ideals and their powers in a certain class of graphs T. Ashitha, T. Asir, D. T. Hoang and M. R. Pournaki Studia Scientiarum Mathematicarum Hungarica 60(4), 237-248 2024 0.739
4 Symmetric graph of a ring with Involution Wafaa M. Fakieh and T. Asir Indian Journal of Pure and Applied Mathematics 54, 288–296 2023 0.372
5 Class of crosscap two graphs arising from lattices–I T. Asir, K. Mano, Jehan A. Al-Bar and Wafaa M. Fakieh Mathematics 11, 1553 2023 2.592
6 Class of crosscap two graphs arising from lattices-II Jehan A. Al-Bar, T. Asir, K. Mano and Wafaa M. Fakieh AIMS Mathematics 8(10), 24802–24824 2023 2.2
7 On the zero-divisor hypergraph of a reduced ring T. Asir, A. Mehdi and A. Kumar Acta Mathematica Hungarica 170(2), 510–523 2023 0.979
8 Classification of genus three zero-divisor graphs T. Asir, K. Mano and Turki Alsuraiheed Symmetry 15, 2167 2023 2.7
9 Some Cohen--Macaulay graphs arising from finite commutative rings T. Ashitha, T. Asir and M. R. Pournaki Journal of Algebra and its Application 22(6) (2023), 2350129 2023 0.736
10 On the Module Intersection graph of Ideals of rings T. Asir, A. Kumar, and A. Mehdi Revista de la Unión Matemática Argentina 63(1); 93-107 2022 0.810
11 On Wiener Index of unit graph associated with a commutative ring T. Asir, V. Rabikka and Huadong Su Algebra Colloquium 29(2); 221-230 2022 0.429
12 The Wiener Index of the Zero-Divisor graph of Zn T. Asir and V. Rabikka Discrete Applied Mathematics 319 (2022) 461-471 2022 1.254
13 A large class of graphs with a small subclass of Cohen--Macaulay members T. Ashitha, T. Asir and M. R. Pournaki Communications in Algebra 50(12), 5080-5095 2022 0.762
14 Wiener index of graphs over rings: A survey T. Asir, V. Rabikka, A. M. Anto and N. Shunmugapriya AKCE International Journal of Graphs and Combinatorics 19(3) (2022) 316–324 2022 0.867
15 Cohen–Macaulayness of a class of graphs versus the class of their complements T. Ashitha, T. Asir, D. T. Hoang and M. R. Pournaki Discrete Mathematics 344; Id 112525 2021 0.961
16 A class of graphs with a few well-covered members T. Ashitha, T. Asir and M. R. Pournaki Expositiones Mathematicae 39(2); 302-308 2021 1.478
17 Correction to: Classification of non-local rings with genus two zero-divisor graphs T. Asir, K. Mano and T. Tamizh Chelvam Soft Computing 25; 3355–3356 2021 3.643
18 Classification of non-local rings with genus two zero-divisor graphs T. Asir and K. Mano Soft Computing 24; 237–245 2020 3.643
19 Classification of rings with crosscap two class of graphs T. Asir and K. Mano Discrete Applied Mathematics 256; 13-21 2019 1.254
20 Bounds for the genus of generalized total graph of a commutative ring T. Asir and K. Mano Algebra Colloquium 26(3); 519-528 2019 0.429
21 Some bounds for the genus of a class of graphs arising from rings T. Asir, H. R. Maimani, M. R. Pournaki and T. Tamizh Chelvam Houston Journal of Mathematics 45(2); 371-384 2019 0.477
22 The classification of rings with genus two class of graphs T. Asir and K. Mano Politehnica University of Bucharest. Scientific Bulletin. Series A. Applied Mathematics and Physics 81(1);143-152 2019 1.160
23 The classification of rings with its genus of class of graphs T. Asir and K. Mano Turkish Journal of Mathematics 42(3);1424-1435 2018 0.954
24 The genus two class of graphs arising from rings T. Asir Journal of Algebra and its Application 17 (10), Article No. 1850193 2018 0.736
25 On the genus two characterizations of unit, unitary Cayley and co-maximal graphs T. Asir and T. Tamizh Chelvam Ars Combinatoria 138; 77-91 2018 0.278
26 Genus of total graphs from rings: A survey T. Tamizh Chelvam and T. Asir AKCE International Journal of Graphs and Combinatorics 15; 97-104 2018 0.867
27 Genus of total graphs of commutative rings: A survey T. Asir and T. Tamizh Chelvam Electronic Notes in Discrete Mathematics 63; 59–68 2017 Nil
28 Distances in zero-divisor and total graphs from commutative rings-A survey T. Tamizh Chelvam and T. Asir AKCE International Journal of Graphs and Combinatorics 13(3); 290-298 2016 0.867
29 On the genus of generalized unit and unitary Cayley graphs of a commutative ring T. Asir and T. Tamizh Chelvam Acta Mathematica Hungarica 142 (2); 444–458 2014 0.979
30 On the total Graph and its complement of a commutative ring T. Asir and T. Tamizh Chelvam Communications in Algebra 41 (10); 3820-3835 2013 0.762
31 On the Intersection graph of gamma sets in the total graph II T. Asir and T. Tamizh Chelvam Journal of Algebra and its Application 12(4); Article No. 1250199 2013 0.736
32 On the Intersection graph of gamma sets in the total graph I T. Tamizh Chelvam and T. Asir Journal of Algebra and its Application 12(4); Article No. 1250198 2013 0.736
33 On the genus of the total graph of a commutative ring T. Tamizh Chelvam and T. Asir Communications in Algebra 41(1); 142–153 2013 0.762
34 Domination in the total graph of a commutative ring T. Tamizh Chelvam and T. Asir Journal of Combinatorial Mathematics and Combinatorial Computing 87; 147-158 2013 Nil
35 Graphs with constant sum of domination and inverse domination numbers T. Tamizh Chelvam and T. Asir International Journal of Combinatorics ID 831489 2012 Nil
36 Intersection graph of gamma sets in the total graph T. Tamizh Chelvam and T. Asir Discussiones Mathematicae Graph Theory 32 (2); 341–356 2012 1.028
37 Domination in Total Graph on Zn T. Tamizh Chelvam and T. Asir Discrete Mathematics, Algorithms and Applications 3 (4); 1-9 2011 0.6
38 A note on total graph of Zn T. Tamizh Chelvam and T. Asir Journal of Discrete Mathematical Science and Cryptography 14 (1); 1-7 2011 Nil

Papers Published in Non UGC Approved 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

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

Books

S.No Title of the Book Name of the Authors as per the order in Book Publisher Year ISBN No.
1 Graphs from rings David F. Anderson, T. Asir, Ayman Badawi and T. Tamizh Chelvam Springer 2021 978-3-030-88409-3
2 Inverse domination in graphs T. Tamizh Chelvam, T. Asir and G. S. Grace Prema LAMBERT Academic Publishing 2013 978-3-659-36290-3

Chapters in Books

S.No Title of the Chapters Name of the Authors Title of the Book Publisher Year ISBN No.
1 A survey on genus of selected graphs from commutative rings T. Asir, K. Mano, M. Subathra Springer Proceedings in Mathematics & Statistics-Rings, Monoids and Module Theory Springer 2022 978-981-16-8421-0
2 Generalized total graphs of commutative rings: A survey T. Tamizh Chelvam and T. Asir Algebra and its Applications, De Gruyter Proceedings in Mathematics De Gruyter 2018 9783110540925
3 On dominations in graphs from commutative rings: A survey T. Tamizh Chelvam, T. Asir and K. Selvakumar Springer Proceedings in Mathematics & Statistics-Algebra and its Applications-ICAA Springer 2016 978-981-10-1650-9
4 On distances in zero-divisor and total graphs from commutative rings T. Tamizh Chelvam, T. Asir and K. Selvakumar Proceedings of International Conference on Semigroups, Algebras and Applications Cochin University of Science and Technology 2015 -

Edited Books

S.No Title of the Book Name of the Authors as per the order in Book Publisher Year ISBN No.
1 Proceedings of International Conference on Algebra and Discrete Mathematics T. Tamizh Chelvam and T. Asir International Journal of Computer Science 2018 2348-6600

Ongoing Projects

S.No Title of the Project Sponsored By Period Sanctioned Amount(Rs. Lakh) Year
1 Cohen-Macaulayness of a class of algebraic graphs Council of Scientific & Industrial Research(CSIR) 10th July 2023 to 09th Ju 1600000 2023

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
1 Graphs constructed from additive operator of commutative rings Science and Engineering Research Board(SERB) 13th June 2018 to 12th Ju 660000 2021
2 Interlink between commutative rings and graphs University Grants Commission(UGC) 20th July 2015 to 19th Ju 660000 2017

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 Ashitha Tom 11-06-2019 F10206 - YES 23-6-2022 YES 14-08-2023
2 V.Rabikka 13.02.2019 F10149 - YES 12-7-2022 YES 17-07-2023
3 K. Mano - F9621 - YES - YES 7-07-2020
4 N. Deena - P4292 - YES - YES 14-06-2018
5 S. Brindha - P4289 - YES - YES 14-06-2018

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 Delivered series of lectures at Institut Henri Poincare, Paris and Gustave Eiffel University, France. Gustave Eiffel University, France 2500 Euro France 14-06-2023 26-06-2023 2023
2 The Third International Conference on Mathematics and Statistics CSIR Air fare UAE 06-02-2020 09-02-2020 2020
3 Modeling with Graph Theory SERB-MATRICS grant Air fare Palestine 24-09-2019 26-09-2019 2019
4 International Multidisciplinary Academic Conference UGC-Start-Up grant Air fare Thailand 02-11-2015 06-11-2015 2015
5 Fourth International Conference in Mathematical Sciences DST Full UAE 11-03-2012 14-03-2011 2012

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
1 Modern Algebra Modern Algebra (32 Modules) CEC-Under Graduate 2022 https://onlinecourses.swayam2.ac.in/cec22_ma05/preview - -
2 Graph Theory Graph Theory (32 modules) CEC-Under Graduate 2020 https://onlinecourses.swayam2.ac.in/cec22_ma06/preview - -
3 Core and Pedagogy of Mathematics Core and Pedagogy of Mathematics (24 Modules) MOOCS 2018 - - -

Details of Online Education Conducted

S.No Nature of Online Course No. of Sessions Target Group Date
1 MHRD-SWAYAM MOOC Courses 32 Mathematics Students-UG 19-01-2022

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 - Seminar V.V. Vanniaperumal College for Women Virudhunagar, Tamilnadu National 14-10-2022 14-10-2022 2022
2 - Conference Mannar Thirumalai Naicker College, Madurai National 07-10-2022 07-10-2022 2022
3 - Conference Swami Ramanand Teerth Marathwada University, Nanded, Maharashtra International 28-07-2022 30-07-2022 2022
4 - Conference St. Xaviers College, Tirunelveli International 19-07-2022 21-07-2022 2022
5 - Seminar Ayya Nadar Janaki Ammal College, Sivakasi International 02-06-2022 03-06-2022 2022
6 - Conference Yashavantrao Chavan Institute of Science, Satara, Maharashtra International 19-05-2022 20-05-2022 2022
7 - Conference VHNSN College, Virudhunagar National 12-05-2022 12-05-2022 2022
8 - Workshop Mathematical Center in Akademgorodok, Novosibirsk, Russia International 01-03-2021 07-03-2021 2021
9 - Workshop Vellalar College for Women, Erode National 29-09-2021 29-09-2021 2021
10 - Workshop Manonmaniam Sundaranar University, Tirunelveli National 07-10-2021 09-10-2021 2021
11 - Programme Savitribai Phule Pune University, Pune National 16-10-2021 29-10-2021 2021
12 - Conference Sarah Tucker College, Tirunelveli International 28-10-2021 29-10-2021 2021
13 - Seminar Sri Parasakthi College for Women, Courtallam National 16-03-2020 16-03-2020 2020
14 - Conference Nanjil Catholic College of Arts & Science, Kalaikkavilai National 20-02-2020 20-02-2020 2020
15 - Conference Sermathai Vasan College for Women, Madurai National 19-02-2020 19-02-2020 2020
16 - Conference American University of Sharjah, UAE International 06-02-2020 09-02-2020 2020
17 - Conference A.P.C. Mahalaxmi College for Women, Thoothukudi International 20-01-2020 21-01-2020 2020
18 - Conference Aligarh Muslim University, Aligarh International 17-12-2019 19-12-2019 2019
19 - Workshop NITTER, Chandigarh National 04-11-2019 06-11-2019 2019
20 - Conference Noorul Islam Centre for Higher Education, Nagercoil International 30-10-2019 31-10-2019 2019
21 - Programme Palestine Technical University-Kharorie, Palestine International 24-09-2019 26-09-2019 2019
22 - Conference University of Mysore, Mysore International 27-06-2019 29-06-2019 2019
23 - Conference Amrita Vishwa Vidyapeetham University, Coimbatore International 04-01-2019 06-01-2019 2019
24 - Workshop PSGR Krishnammal College for Women, Coimbatore National 12-12-2018 12-12-2018 2018
25 - Conference Nadar Saraswathi College of Arts & Science, Theni International 11-09-2018 11-09-2018 2018
26 - Seminar Sri S.Ramasamy Naidu Memorial College, Sattur International 7-9-2018 7-9-2018 2018
27 - Seminar St. John’s College, Tirunelveli National 06-01-2017 06-01-2017 2017
28 - Seminar Hajee Karuthar Rowther Howdia College, Uthamapalayam National 31-01-2017 31-01-2017 2017
29 - Conference The Gandhigram Rural Institute, Dindigul International 16-02-2017 18-02-2017 2017
30 - Conference SSN College of Engineering, Chennai International 08-06-2017 10-06-2017 2017
31 - Conference Birla Institute of Applied Sciences, Bhimtal, Uttarakhand International 12-06-2017 14-06-2017 2017
32 - Conference Aligarh Muslim University, Aligarh International 12-11-2016 14-11-2016 2016
33 - Conference Carmel College of Arts, Science and Commerce for Women, Goa International 10-11-2016 11-11-2016 2016
34 - Conference College of Agricultural Engineering & Post Harvest Technology, Ranipool, Gangtok, Sikkim International 21-3-2016 22-3-2016 2016
35 - Conference IMRF, Thailand International 02-11-2015 06-11-2015 2015
36 - Conference St. John’s College, Anchal, Kerala International 16-10-2014 17-10-2014 2014
37 - Conference REVA University, Bangalore International 10-06-2012 13-06-2012 2012
38 - Conference United Arab Emirates University, Al-Ain, UAE International 11-03-2012 14-03-2012 2012

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 Symposium on Algebra and Algebraic Combinatorics SERB Department of Mathematics, Pondicherry University International 02-11-2023 04-11-2023 2023
2 Second International Conference on Algebra and Discrete Mathematics - Madurai Kamaraj University during June 24-26, 2020 International 24-06-2020 26-06-2020 2020
3 First International Conference on Algebra and Discrete Mathematics SERB; CSIR; MKU Madurai Kamaraj University during January 08-10, 2018 International 08-01-2018 10-01-2018 2018

Workshop Organized

S.No Title of the Programme Sponsors Venue & Duration Whether International / National / State / Regional / College or University Level From To Year
1 Eighth Faculty Induction Programme UGC-HRDC Madurai Kamaraj University - 30 days National 01-12-2021 30-12-2021 2021
2 Sixth Faculty Induction Programme UGC-HRDC Madurai Kamaraj University - 30 days National 14-09-2021 20-10-2021 2021
3 Forth Faculty Induction Programme UGC-HRDC Madurai Kamaraj University - 30 days National 19-02-2021 20-03-2021 2021

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