Title Dr. First Name T. ASIR Last Name
Designation Associate Professor
Department Department of Mathematics
Email
Webpage
Phone.no 04132654000
Employement Info
Employee Type Nature Of Employment
Teaching Permanent
Development of E-content
Name of The Module Platform/Organization Date of Launching
Graph Theory SWAYAM 31-07-2023
Modern Algebra SWAYAM 18-01-2023
Ring Theory and Linear Algebra I SWAYAM 17-07-2025
Core and Pedagogy of Mathematics SWAYAM 16-07-2018
Ring Theory and Linear Algebra II SWAYAM 17-12-2025
Algebra SWAYAM 09-01-2025
Graph Theory SWAYAM 10-07-2024
Research Publications
Title of Article Type of Publication Name of Journal ISSN Journal Volume Year Link to Article DOI (Digital Object Identifier)
Classes of graphs that are not Cohen—Macaulay Research Papers in Web of Science Listed Journals Ukrainian Mathematical Journal 77 2025 https://umj.imath.kiev.ua/index.php/umj/article/view/8093 https://doi.org/10.3842/umzh.v77i2.8093
On the Intersection graph of gamma sets in the total graph I Research Papers in Web of Science Listed Journals Journal of Algebra and its Application 12(4) 2015 https://www.worldscientific.com/doi/abs/10.1142/S0219498812501988 https://doi.org/10.1142/S0219498812501988
On the Module Intersection graph of Ideals of rings Research Papers in Web of Science Listed Journals Revista de la Unión Matemática Argentina 63(1) 2022 https://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/v63n1a06 https://doi.org/10.33044/revuma.1936
Graphs with constant sum of domination and inverse domination numbers Research Papers in Scopus Listed Journals International Journal of Combinatorics 2012 2014 https://onlinelibrary.wiley.com/doi/10.1155/2012/831489 https://doi.org/10.1155/2012/831489
On strong secure domination number of a graph Research Papers in Web of Science Listed Journals Mathematics 12(11) 2024 https://www.mdpi.com/2227-7390/12/11/1666 https://doi.org/10.3390/math12111666
The classification of rings with its genus of class of graphs Research Papers in Web of Science Listed Journals Turkish Journal of Mathematics 42(3) 2019 https://journals.tubitak.gov.tr/math/vol42/iss3/53/ https://doi.org/10.3906/mat-1710-34
Intersection graph of gamma sets in the total graph Research Papers in Web of Science Listed Journals Discussiones Mathematicae Graph Theory 32(2) 2012 https://www.dmgt.uz.zgora.pl/publish/article.php?doi=1611 https://doi.org/10.7151/dmgt.1611
Some bounds for the regularity of the edge ideals and their powers in a certain class of graphs Research Papers in Web of Science Listed Journals Studia Scientiarum Mathematicarum Hungarica 60(4) 2024 https://akjournals.com/view/journals/012/60/4/article-p237.xml https://doi.org/10.1556/012.2023.04298
Genus of total graphs of commutative rings: A survey Research Papers in Scopus Listed Journals Electronic Notes in Discrete Mathematics 63 2017 https://www.sciencedirect.com/science/article/abs/pii/S1571065317303013 https://doi.org/10.1016/j.endm.2017.10.062
Distances in zero-divisor and total graphs from commutative rings-A survey Research Papers in Web of Science Listed Journals AKCE International Journal of Graphs and Combinatorics 13(3) 2016 https://www.sciencedirect.com/science/article/pii/S0972860016301918 https://doi.org/10.1016/j.akcej.2016.11.009
Correction to: Classification of non-local rings with genus two zero-divisor graphs Research Papers in Web of Science Listed Journals Soft Computing 25 2023 https://link.springer.com/article/10.1007/s00500-020-05533-z https://doi.org/10.1007/s00500-020-05533-z
Note on total graph of Zn Research Papers in Scopus Listed Journals Journal of Discrete Mathematical Science and Cryptography 14(1) 2013 https://www.tandfonline.com/doi/abs/10.1080/09720529.2011.10698320 https://doi.org/10.1080/09720529.2011.10698320
A class of graphs that complementation makes infinitely many Cohen–Macaulay members Research Papers in Web of Science Listed Journals Discrete Applied Mathematics 364 2025 https://www.sciencedirect.com/science/article/abs/pii/S0166218X2400533X https://doi.org/10.1016/j.dam.2024.12.016
On Wiener Index of unit graph associated with a commutative ring Research Papers in Web of Science Listed Journals Algebra Colloquium 29(2) 2024 https://www.worldscientific.com/doi/10.1142/S1005386722000189 https://doi.org/10.1142/S1005386722000189
The genus two class of graphs arising from rings Research Papers in Web of Science Listed Journals Journal of Algebra and its Application 17(10) 2018 https://www.worldscientific.com/doi/abs/10.1142/S0219498818501931 https://doi.org/10.1142/S0219498818501931
Cohen–Macaulayness of a class of graphs versus the class of their complements Research Papers in Web of Science Listed Journals Discrete Mathematics 344(10) 2021 https://www.sciencedirect.com/science/article/abs/pii/S0012365X21002387?via%3Dihub https://doi.org/10.1016/j.disc.2021.112525
On co-intersection graph of ideals of a commutative ring Research Papers in Web of Science Listed Journals Filomat 38(33) 2025 https://www.pmf.ni.ac.rs/filomat-content/2024/38-33/38-33-18-24986.pdf https://doi.org/10.2298/FIL2433879R
A large class of graphs with a small subclass of Cohen--Macaulay members Research Papers in Web of Science Listed Journals Communications in Algebra 50(12) 2022 https://www.tandfonline.com/doi/full/10.1080/00927872.2022.2081333 https://doi.org/10.1080/00927872.2022.2081333
Genus of total graphs from rings: A survey Research Papers in Web of Science Listed Journals AKCE International Journal of Graphs and Combinatorics 15 2020 https://www.tandfonline.com/doi/full/10.1016/j.akcej.2017.10.002 https://doi.org/10.1016/j.akcej.2017.10.002
Symmetric graph of a ring with Involution Research Papers in Web of Science Listed Journals Indian Journal of Pure and Applied Mathematics 54 2023 https://link.springer.com/article/10.1007/s13226-022-00253-6 https://doi.org/10.1007/s13226-022-00253-6
Some bounds for the genus of a class of graphs arising from rings Research Papers in Web of Science Listed Journals Houston Journal of Mathematics 45(2) 2019 https://sciexplore.ir/Documents/Details/421-359-532-585?Title=SOME%20BOUNDS%20FOR%20THE%20GENUS%20OF%20A%20CLASS%20OF%20GRAPHS%20ARISING%20FROM%20RINGS
A class of graphs with a few well-covered members Research Papers in Web of Science Listed Journals Expositiones Mathematicae 39(2) 2021 https://www.sciencedirect.com/science/article/abs/pii/S0723086921000165 https://doi.org/10.1016/j.exmath.2021.03.001
On the zero-divisor hypergraph of a reduced ring Research Papers in Web of Science Listed Journals Acta Mathematica Hungarica 170(2) 2023 https://link.springer.com/article/10.1007/s10474-023-01362-2 https://doi.org/10.1007/s10474-023-01362-2
Domination in Total Graph on Zn Research Papers in Web of Science Listed Journals Discrete Mathematics, Algorithms and Applications 3(4) 2012 https://www.worldscientific.com/doi/abs/10.1142/S1793830911001309 https://doi.org/10.1142/S1793830911001309
On the genus of the total graph of a commutative ring Research Papers in Web of Science Listed Journals Communications in Algebra 41(1) 2013 https://www.tandfonline.com/doi/abs/10.1080/00927872.2011.624147 https://doi.org/10.1080/00927872.2011.624147
Classification of rings with crosscap two class of graphs Research Papers in Web of Science Listed Journals Discrete Applied Mathematics 256 2021 https://www.sciencedirect.com/science/article/pii/S0166218X19302008?via%3Dihub https://doi.org/10.1016/j.dam.2019.03.026
On the genus two characterizations of unit, unitary Cayley and co-maximal graphs Research Papers in Web of Science Listed Journals Ars Combinatoria 138 2018 https://combinatorialpress.com/ars/vol138/
Some Cohen--Macaulay graphs arising from finite commutative rings Research Papers in Web of Science Listed Journals Journal of Algebra and its Application 22(6) 2023 https://www.worldscientific.com/doi/10.1142/S0219498823501293 https://doi.org/10.1142/S0219498823501293
Classification of genus three zero-divisor graphs Research Papers in Web of Science Listed Journals Symmetry 15(12) 2023 https://www.mdpi.com/2073-8994/15/12/2167 https://doi.org/10.3390/sym15122167
On the total Graph and its complement of a commutative ring Research Papers in Web of Science Listed Journals Communications in Algebra 41(10) 2015 https://www.tandfonline.com/doi/abs/10.1080/00927872.2012.678956 https://doi.org/10.1080/00927872.2012.678956
Classification of non-local rings with genus two zero-divisor graphs Research Papers in Web of Science Listed Journals Soft Computing 24 2021 https://link.springer.com/article/10.1007/s00500-019-04345-0 https://doi.org/10.1007/s00500-019-04345-0
Domination in the total graph of a commutative ring Research Papers in Scopus Listed Journals Journal of Combinatorial Mathematics and Combinatorial Computing 87 2015 https://combinatorialpress.com/jcmcc-articles/volume-087/
Class of crosscap two graphs arising from lattices-II Research Papers in Web of Science Listed Journals AIMS Mathematics 8(10) 2024 https://www.aimspress.com/article/doi/10.3934/math.20231265 https://doi.org/10.3934/math.20231265
Class of crosscap two graphs arising from lattices–I Research Papers in Web of Science Listed Journals Mathematics 11(6) 2024 https://www.mdpi.com/2227-7390/11/6/1553 https://doi.org/10.3390/math11061553
The Wiener Index of the Zero-Divisor graph of Zn Research Papers in Web of Science Listed Journals Discrete Applied Mathematics 319 2023 https://www.sciencedirect.com/science/article/abs/pii/S0166218X21000925?via%3Dihub https://doi.org/10.1016/j.dam.2021.02.035
The Betti numbers of the edge ideals of a class of graphs due to Grimaldi and their complements Research Papers in Web of Science Listed Journals Bulletin of the Malaysian Mathematical Sciences Society 47 2024 https://ouci.dntb.gov.ua/en/works/7qbZJL54/ https://doi.org/10.1007/s40840-024-01731-2
On the genus of generalized unit and unitary Cayley graphs of a commutative ring Research Papers in Web of Science Listed Journals Acta Mathematica Hungarica 142(2) 2015 https://link.springer.com/article/10.1007/s10474-013-0365-1 https://doi.org/10.1007/s10474-013-0365-1
Bounds for the genus of generalized total graph of a commutative ring Research Papers in Web of Science Listed Journals Algebra Colloquium 26(3) 2019 https://www.worldscientific.com/doi/abs/10.1142/S1005386719000385 https://doi.org/10.1142/S1005386719000385
On the Intersection graph of gamma sets in the total graph II Research Papers in Web of Science Listed Journals Journal of Algebra and its Application 12(4) 2013 https://www.worldscientific.com/doi/abs/10.1142/S021949881250199X?srsltid=AfmBOopEJNI_mC8QBT55EcYJ1zxG3Ey3xepGpRe03VCpVUpyD65Jdr5L https://doi.org/10.1142/S021949881250199X
Wiener index of graphs over rings: A survey Research Papers in Web of Science Listed Journals AKCE International Journal of Graphs and Combinatorics 19(3) 2022 https://www.tandfonline.com/doi/full/10.1080/09728600.2022.2140088 https://doi.org/10.1080/09728600.2022.2140088
The classification of rings with genus two class of graphs Research Papers in Web of Science Listed Journals Politehnica University of Bucharest. Scientific Bulletin. Series A. Applied Mathematics and Physics 81(1) 2019 https://www.scientificbulletin.upb.ro/rev_docs_arhiva/fullc82_835437.pdf
Non-Journal Publications
Title of Publication Type of Publication Publisher Role ISBN Year Link to Publication Level
Proceedings of International Conference on Algebra and Discrete Mathematics Edited/Translated Books International Journal of Computer Science Editor 1970 National
On dominations in graphs from commutative rings: A survey Chapters in Books Springer Author 1970 National
Generalized total graphs of commutative rings: A survey Chapters in Books De Gruyter Author 1970 National
A survey on genus of selected graphs from commutative rings Chapters in Books Springer Author 1970 National
On distances in zero-divisor and total graphs from commutative rings Chapters in Books Cochin University of Science and Technology Author 1970 National
Inverse domination in graphs Text/Reference/Subject Books/Other LAMBERT Academic Publishing Author 1970 National
Graphs from rings Text/Reference/Subject Books/Other Springer Author 1970 National
Research Projects
Project Title Project Type Year Of Sanction Outcome/Output Duration
Cohen-Macaulayness of a class of algebraic graphs Major 2023 Ongoing since 10-07-2023 (1 years, 10 months, 14 days)
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