1. Title of the Publication :  Structural Equivalence between Electrical Circuits via 1 Nano Topology Induced by Digraphs   
      Name of the authors: T.Nandhini, M.Vigneshwaran and S.Jafari
      Journal name: Neutrosophic Sets and Systems  
      Year: 2020

  2. Title of the Publication : On neutrosophic nano -closed sets in neutrosophic nano topological spaces ​
      Name of the authors: T.Nanthini and M.Vigneshwaran  
      Journal name: International Journal of Neutrosophic Science  
      Year: 2020

3. Title of the Publication : Analyzing Diabetes using Rough sets
      Name of the authors: S.Arjun Raj and M.Vigneshwaran
      Journal name: Advances in   Mathematics: Scientific Journal
      Year: 2020

4. Title of the Publication :  δ*gα-closed sets in topological spaces
      Name of the authors: K.Damodharan and M.Vigneshwaran
      Journal name: Advances in Mathematics: Scientific Journal
      Year: 2020

5. Title of the Publication :  N_δ*gα-closed sets in neutrosophic topological spaces 
      Name of the authors: K.Damodharan and M.Vigneshwaran
      Journal name: Advances in Mathematics: Scientific Journal
      Year: 2020

6. Title of the Publication :  C# Application to deal with ga-closed setsin Neutrosophic topology 
      Name of the authors: S.Saranya, M.Vigneshwaran and S.Jafari
      Journal name: Applications and Applied Mathematics
      Year: 2020

7. Title of the Publication :  View on GαG*-homeomorphisms and *GαG-homeomorphisms and their properties 
      Name of the authors: M.Vigneshwaran, V.Kokilavani and R.Devi
      Journal name: Journal of Statistics and Mathematical Engineering
      Year: 2020

8. Title of the Publication : On regularly feebly generalized closed sets and its properties 
      Name of the authors: M.Vigneshwaran and M.Velmeenal
      Journal name: Journal of Statistics and Mathematical Engineering
      Year: 2020

9. Title of the Publication : Nano p*g-Continuous Functions in Nano Topological Spaces
      Name of the authors: K.Geetha and M.Vigneshwaran
      Journal name: Journal of Statistics and Mathematical Engineering
      Year: 2020

10. Title of the Publication :  N_δ*gα-continuous and irresolute functions in Neutrosophic topological spaces
      Name of the authors: K.Damodharan,M.Vigneshwaran and Shuker Khalil
      Journal name: Neutrosophic Sets and Systems
      Year: 2020

11. Title of the Publication :  An Analysis of ψ*rs – Closed Sets and ψ*rs – Continuous Functions in Topological Spaces
      Name of the authors: M.Vigneshwaran and T.Santhiya
      Journal name: Journal of Statistics and Mathematical Engineering
      Year: 2020

12. Title of the Publication :  On *Gα-compact and *Gα-connected spaces 
      Name of the authors: M.Vigneshwaran, V.Kokilavani and R.Devi
      Journal name: Annales Univ. Sci. Budapest., Sect. Math
      Year: 2020

13. Title of the Publication :  Upper and Lower *gα-continuous functions
      Name of the authors: M.Vigneshwaran, V.Kokilavani and R.Devi
      Journal name:  Int.J.open Problems Compt.Math
      Year: 2020

14. Title of the Publication : The neutrosophic strongly open maps in neutrosophic bi-topological spaces 
      Name of the authors: Nadia M.Ali Abbas, Shuker Mahmood Khalil and M.Vigneshwaran
      Journal name: Journal of Interdisciplinary Mathematics
      Year: 2021

15. Title of the Publication :  On N*gα-continuous in toplogical spaces of neutrosophy  
      Name of the authors: A.R.Nivetha, M.Vigneshwaran, Nadia M.Ali Abbas and Shuker Mahmood Khalil
      Journal name: Journal of Interdisciplinary Mathematics
      Year: 2021

16. Title of the Publication :  N_d-continuity in Neutrosophic Topological spaces 
      Name of the authors: K.Damodharn, M.Vigneshwaran and Samer Al Ghour
      Journal name: Poincare J. Anal. Appl
      Year: 2021

17. Title of the Publication :  On N*gα-closed sets in Neutrosophic Topological spaces 
      Name of the authors: F.Smarandache, A.R.Nivetha and M.Vigneshwaran
      Journal name: Poincare J. Anal. Appl
      Year: 2021

18. Title of the Publication : Nano  ^∗gα-Normal  Spaces and Almost Nano∗gα-Normal  Spaces
      Name of the authors:  K.Geetha and M.Vigneshwara
      Journal name:  Kongunadu Research Journal
      Year: 2021

19. Title of the Publication :  On ^∗gα-interior and ^∗gα-closure in Neutrosophic Topological spaces 
      Name of the authors: A.R.Nivetha and M.Vigneshwaran
      Journal name: Palestine Journal of Mathematics
      Year: 2021

20. Title of the Publication :  A-Expansion of β^∗gα(μ,λ)-continuous in Hereditary generalized topological spaces
      Name of the authors:  K.Baby and M.Vigneshwaran
      Journal name: Palestine Journal of Mathematics
      Year: 2021

21. Title of the Publication :  d*gα –Homeomorphism and d*gαc–Homeomorphism in Topological Spaces
      Name of the authors:  M.Vigneshwaran and S. Ranganayaki
      Journal name: Journal of Statistics and Mathematical Engineering
      Year: 2021

22. Title of the Publication :   Properties and Applications of d*gα - Closed Sets in Topological Spaces
      Name of the authors: M.Vigneshwaran and S. Ranganayaki
      Journal name: Journal of Statistics and Mathematical Engineering
      Year: 2021

23. Title of the Publication :  On α g# ψ μ*-closed sets and α g# ψ μ*-continuous in hereditary generalized topological spaces 
      Name of the authors: T.Nandhini and M.Vigneshwaran 
      Journal name: Asian-European Journal of Mathematics
      Year: 2023

24. Title of the Publication :  On Binary Neutrosophic Crisp Points And Binary Neutrosophic Neighborhoods
      Name of the authors: A.G.Rose Venish, L. Vidyarani, M.Vigneshwaran
      Journal name: Journal of Neutrosophic and Fuzzy Systems(JNFS)
      Year: 2023

  1. Title of the Publication :αg mu-irresoluteness in topological spaces  
      Name of the authors: R.Devi, A.Selvakumar and M.Vigneshwaran  
      Journal name: Bulletin of Kerala Mathematical Association  
      Year:2007

 2. Title of the Publication :Stronger forms of αg mu-irresolute maps  
      Name of the authors: R.Devi, A.Selvakumar, Miguel Caldas and M.Vigneshwaran  
      Journal name: International Journal of General Topology  
      Year:2008

3. Title of the Publication :Stronger forms of ^*gα -irresolute maps  
      Name of the authors: R.Devi, A.Selvakumar and M.Vigneshwaran  
      Journal name: International Journal of General topology  
      Year:2009

4. Title of the Publication :Group structure of mu c- homeomorphism  
      Name of the authors: R.Devi, M.Vigneshwaran and A.Selvakumar  
      Journal name: Bulletin of Pure and Applied Sciences  
      Year:2009

5.Title of the Publication :^*gαc-homeomorphisms in topological spaces  
      Name of the authors: R.Devi and M.Vigneshwaran  
      Journal name: International Journal of Computer Applications  
      Year:2010

6.Title of the Publication :^*GαO-kernel in the digital plane  
      Name of the authors: R.Devi and M.Vigneshwaran  
      Journal name: International Journal of Computer Applications  
      Year:2010

7.Title of the Publication :(I, g)-generalized semi - closed sets in topological spaces  
      Name of the authors: R.Devi, A.Selvakumar and M.Vigneshwaran  
      Journal name: Filomat  
      Year:2010

8.Title of the Publication :^*gα - closed sets in the digital line  
      Name of the authors: R. Devi and M.Vigneshwaran  
      Journal name: Journal of Advanced Studies in Topology  
      Year:2010

9.Title of the Publication :*gα-closed sets in the digital plane  
      Name of the authors: R. Devi and M.Vigneshwaran  
      Journal name: International Journal of General topology  
      Year:2011

10.Title of the Publication :On GαO-kernel in the digital plane  
      Name of the authors: M.Vigneshwaran and R.Devi  
      Journal name: International Journal of Mathematical Archive  
      Year:2012

11.Title of the Publication :^*gα-closed sets in BiCech closure spaces  
      Name of the authors: M.Vigneshwaran and R.Devi  
      Journal name: Journal of Advanced Research in Applied Mathematics  
      Year:2013

12.Title of the Publication :More on^*gα-closed sets ^*gα-open sets in the digital plane  
      Name of the authors: M.Vigneshwaran and R.Devi  
      Journal name: Journal of Global Research in Mathematical Archives  
      Year:2013

13.Title of the Publication :On supra N-closed and supra sN-closed set in supra topological spaces  
      Name of the authors: L.Vidyarani and M.Vigneshwaran  
      Journal name: International Journal of Mathematical Archive  
      Year:2013

14.Title of the Publication :bT-closed sets in supra topological spaces  
      Name of the authors: K.Krishnaveni and M.Vigneshwaran  
      Journal name: International Journal of Mathematical Archive  
      Year:2013

15.Title of the Publication :Some forms of N-closed Maps in supra Topological spaces  
      Name of the authors: L.Vidyarani and M.Vigneshwaran  
      Journal name: IOSR Journal of Mathematics  
      Year:2013

16.Title of the Publication :bT-Locally Closed Sets and bT-Locally Continuous Functions In Supra Topological Spaces  
      Name of the authors: K.Krishnaveni and M.Vigneshwaran  
      Journal name: IOSR Journal of Mathematics  
      Year:2013

17.Title of the Publication :Contra Supra N-Continuous function in Supra Topological Spaces  
      Name of the authors: L.Vidyarani and M.Vigneshwaran  
      Journal name: Journal of Global Research in Mathematical Archives  
      Year:2013

18.Title of the Publication :On bT-Closed Maps and bT-Homeomorphisms in Supra Topological Spaces  
      Name of the authors: K.Krishnaveni and M.Vigneshwaran  
      Journal name: Journal of Global Research in Mathematical Archives  
      Year:2013

19.Title of the Publication :N-Homeomorphism and N*-Homeomorphism in supra Topological spaces  
      Name of the authors: L.Vidyarani and M.Vigneshwaran  
      Journal name: International Journal of Mathematics and Statistics Invention  
      Year:2013

20.Title of the Publication :Some Stronger Forms of supra bT- Continuous Functions  
      Name of the authors: K. Krishnaveni and M.Vigneshwaran  
      Journal name: International Journal of Mathematics and Statistics Invention  
      Year:2013

21.Title of the Publication :Applications of ^**gα-closed sets in topological spaces  
      Name of the authors: M.Vigneshwaran and A.Singaravelan  
      Journal name: International Journal of Mathematical Archive  
      Year:2014

22.Title of the Publication :Slightly ^*gα-continuous functions  
      Name of the authors: R.Devi and M.Vigneshwaran  
      Journal name: Kongunadu Research Journal  
      Year:2014

23.Title of the Publication :On some intuitionistic supra closed sets on intutionistic supra topological space  
      Name of the authors: L.Vidyarani and M.Vigneshwaran  
      Journal name: Bulletin of Mathematics and Statistics research  
      Year:2015

24.Title of the Publication :On Almost Supra N-continuous Function  
      Name of the authors: L.Vidyarani and M.Vigneshwaran  
      Journal name: International Journal of Scientific and Innovative Mathematical Research  
      Year:2015

25.Title of the Publication :Supra N-compact and Supra N-connected in supra Topological spaces  
      Name of the authors: L.Vidyarani and M.Vigneshwaran  
      Journal name: Global Journal of Pure and Applied Mathematics  
      Year:2015

26.Title of the Publication :β*gα-closed sets in topological spaces  
      Name of the authors: M.Vigneshwaran and K.Baby  
      Journal name: International Journal of Advanced and Innovative Research  
      Year:2015

27.Title of the Publication :Contra bT^μ- Continuous Function in Supra Topological Spaces  
      Name of the authors: K.Krishnaveni and M.Vigneshwaran  
      Journal name: International Journal of Engineering Sciences & Research Technology  
      Year:2015

28.Title of the Publication :On Stronger Forms of Irresolute Functions, Continuous Functions And Quotient Mappings  
      Name of the authors: M.Vigneshwaran and K.Baby  
      Journal name: International Journal of Mathematical Archive  
      Year:2015

29.Title of the Publication :Nano bT-Closed Set in Nano Topological Spaces  
      Name of the authors: K. Krishnaveni and M.Vigneshwaran  
      Journal name: Kongunadu Research Journal  
      Year:2015

30.Title of the Publication :Supra bTµ- Closed Sets In Minimal Structures  
      Name of the authors: K.Krishnaveni and M. Vigneshwaran  
      Journal name: Kongunadu Research Journal  
      Year:2015

31.Title of the Publication :Completely supra N-continuous function  
      Name of the authors: L.Vidyarani and M.Vigneshwaran  
      Journal name: Kongunadu Research Journal  
      Year:2015

32.Title of the Publication :On Totally Supra N-Continuous Function and Totally Supra N-Closed Map  
      Name of the authors: L.Vidyarani and M.Vigneshwaran  
      Journal name: Kongunadu Research Journal  
      Year:2015

33.Title of the Publication :On intutionistic supra N-closed set  
      Name of the authors: K.Krishnaveni and M.Vigneshwaran  
      Journal name: Journal of Advanced Studies in Topology  
      Year:2016

34.Title of the Publication :Some Forms of bT^μ- Normal Spaces in Supra Topological Spaces  
      Name of the authors: K.Krishnaveni and M.Vigneshwaran  
      Journal name: International Journal of Multidisciplinary and Current Research  
      Year:2016

35.Title of the Publication :Generalization of Soft μ-Closed Sets in Soft Generalized Topological spaces  
      Name of the authors: M.Vigneshwaran and K.Baby  
      Journal name: International Journal of Mathematics Trends and Technology  
      Year:2016

36.Title of the Publication :On Quasi-Normal and Quasi-Regular Spaces in Hereditary Generalized Topological Spaces  
      Name of the authors: M.Vigneshwaran and K.Baby  
      Journal name: International Journal of Science and Research  
      Year:2016

37.Title of the Publication :Supra N-quotient map in supra topological spaces  
      Name of the authors: L.Vidyarani and M.Vigneshwaran  
      Journal name: Asian Journal of Current Engineering and Maths  
      Year:2016

38.Title of the Publication :Properties of supra N-open sets  
      Name of the authors: L.Vidyarani and M.Vigneshwaran  
      Journal name: International Journal of Mathematics Trends and Technology  
      Year:2016

39.Title of the Publication :Interesting Properties of strongly p*gα Connected Spaces and Compact Spaces  
      Name of the authors: K.Geetha and M .Vigneshwaran  
      Journal name: International Journal of Innovative Research in Science, Engineering and Technology
      Year:2016

40.Title of the Publication :On P*Gα - Closed sets In Topological Spaces  
      Name of the authors: K.Geetha and M .Vigneshwaran  
      Journal name: International Journal of Innovative Research in Science, Engineering and Technology
      Year:2016

41.Title of the Publication :On Contra p*gα-Continuous Functions and Strongly p*gα-Closed Spaces  
      Name of the authors: K.Geetha and M .Vigneshwaran  
      Journal name: Annals of Pure and Applied Mathematics
      Year:2016

42.Title of the Publication :On totally bT^μ-connected function in Supra topological space  
      Name of the authors: K. Krishnaveni and M. Vigneshwaran  
      Journal name: International Journal of Control Theory and its Applications
      Year:2016

43.Title of the Publication :Properties, Theory of weakly contra-(μ, h)-continuous functions in Soft generalized Topological spaces  
      Name of the authors: K.Baby and M. Vigneshwaran  
      Journal name: International Journal of General Topology
      Year:2016

44.Title of the Publication :On *gα-fuzzy closed sets in fuzzy topological spaces  
      Name of the authors: R.Devi and M. Vigneshwaran  
      Journal name: Kongunadu Research Journal
      Year:2016

45. Title of the Publication :bTµ - compactness and bTµ - connectedness in supra topological spaces
      Name of the authors: K. Krishnaveni and M. Vigneshwaran
      Journal name: European Journal of Pure and Applied Mathematics
      Year:2017

46. Title of the Publication : On frontier in intuitionistic supra topological spaces
      Name of the authors:  L.Vidyarani and M.Vigneshwaran 
      Journal name: Journal of Global Research in Mathematical Archives
      Year:2017

47. Title of the Publication : Quasi supra N-closed maps supra N-normal spaces
      Name of the authors: L.Vidyarani and M.Vigneshwaran
      Journal name: International Journal of Mathematics and its applications
      Year:2017

48. Title of the Publication :  On RFG-Closed Sets in Topological Spaces
      Name of the authors: M. Vigneshwaran and M. Velmeenal
      Journal name: Journal of Informatics and Mathematical Sciences
      Year:2017

49. Title of the Publication :  Characterization of Nano p*g-homeomorphisms in nano topological spaces 
      Name of the authors: K.Geetha and M. Vigneshwaran,
      Journal name: International Journal of Advanced Research Trends in Engineering and Technology
      Year:2017

50. Title of the Publication : On soft D_μ– Compactness in Soft generalized Topological Spaces 
      Name of the authors:  K.Baby and M. Vigneshwaran
      Journal name: Journal of Informatics and Mathematical Sciences
      Year:2017

51. Title of the Publication :  r*-closed sets in topological spaces 
      Name of the authors: M. Vigneshwaran, R.Poongodi and A.AnanthaSubbulakshmi
      Journal name: International Journal of Scientific Research and Review
      Year:2018

52. Title of the Publication : (g*)* - closed sets in topological spaces 
      Name of the authors: D.Saranya, M. Vigneshwaran and S.Dhanalakshmi
      Journal name: International Journal of Scientific Research and Review
      Year:2018

53. Title of the Publication : Soft generalized Topological Spaces via Soft Hereditary 
      Name of the authors: K.Baby and M. Vigneshwaran
      Journal name: International Journal of Scientific research and reviews
      Year:2018

54. Title of the Publication :  Applications of b*gα-Closed Sets and b*gα-Functions in Topological Spaces 
      Name of the authors: M.Vigneshwaran and S.Saranya
      Journal name: International Journal of Innovative Research Explorer
      Year:2018

55. Title of the Publication : Quasi αg^#y-open and Quasi αg^#y-closed functions in topological spaces
      Name of the authors: T.Nandhini and M. Vigneshwaran
      Journal name:  IOP Conf. Series: Journal of Physics: Conf. Series
      Year:2018

56. Title of the Publication :  -Closed Sets and -Functions in Topological Spaces
      Name of the authors: M.Vigneshwaran and T.Nandhini
      Journal name:  International Journal of Innovative Research Explorer
      Year:2018

57. Title of the Publication : Neutrosophic b*gα-interior and Neutrosophic b*gα-closure  
      Name of the authors: S.Saranya and M. Vigneshwaran
      Journal name: American International Journal of Research in Science, Technology, Engineering & Mathematics
      Year:2019

58. Title of the Publication :  On ψ*gα-closed sets in topological spaces
      Name of the authors: R.Geetha, M. Vigneshwaran and T.Nandhini
      Journal name: American International Journal of Research in Science, Technology, Engineering & Mathematics
      Year:2019

59. Title of the Publication : δ*gα-continuous functions in topological spaces 
      Name of the authors: K.Damodharan and M. Vigneshwaran
      Journal name: American International Journal of Research in Science, Technology, Engineering & Mathematics
      Year:2019

60. Title of the Publication : N_αg#y-closed sets in Neutrosophic topological spaces
      Name of the authors: T.Nandhini and M. Vigneshwaran
      Journal name:  American International Journal of Research in Science, Technology, Engineering & Mathematics
      Year: 2019

61. Title of the Publication :  Neutrosophicb*gα-Closed Sets 
      Name of the authors: S.Saranya and M.Vigneshwaran
      Journal name: Neutrosophic Sets and Systems
      Year: 2019

62. Title of the Publication :  N_αg#y-continuous and N_αg#y-irresolute functions  in  Neutrosophic topological spaces  
      Name of the authors: T.Nandhini and M. Vigneshwaran
      Journal name: International Journal of recent technology and engineering
      Year: 2019

63. Title of the Publication : Design and Development of .Net Framework to Deal with Neutrosophic *gα Sets
      Name of the authors: S. Saranya and M. Vigneshwaran
      Journal name:  International Journal of Engineering and Advanced Technology (IJEAT)
      Year: 2019

64. Title of the Publication :  C# Application to Deal with Neutrosophic α-Closed Sets 
      Name of the authors: S. Saranya and M. Vigneshwaran
      Journal name: Journal of Advanced Research in Dynamical and Control Systems
      Year: 2019

65. Title of the Publication :  Supra bt-Set Connected Functions in Supra Topological Spaces
      Name of the authors: K.Krishnaveni and M. Vigneshwaran
      Journal name: Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat
      Year: 2019

66. Title of the Publication : On Intuitionistic Supra N-Closed Maps 
      Name of the authors: L.Vidyarani and  M.Vigneshwaran
      Journal name: IJRAR - International Journal of Research and Analytical Reviews (IJRAR)
      Year: 2019

67. Title of the Publication :  On δ*gα-multi functions in topological spaces
      Name of the authors: K.Damodharan and M. Vigneshwaran
      Journal name: International journal of Scientific & Technology Research
      Year: 2019

68. Title of the Publication :  .NET Framework to deal with Neutrosophic b*gα-Closed Sets in Neutrosophic Topological Spaces 
      Name of the authors: S. Saranya and M. Vigneshwaran
      Journal name: Neutrosophic Sets and Systems
      Year: 2019

69. Title of the Publication : -open map, -closed map and  -homeomorphism in neutrosophic topological spaces 
      Name of the authors: T.Nandhini and M.Vigneshwaran
      Journal name: Neutrosophic Sets and Systems
      Year: 2019

70. Title of the Publication :  Quasi N_αg#b-open and quasi N_αg#b-closed functions in neutrosophic topological spaces 
      Name of the authors: T.Nandhini and M.Vigneshwaran
      Journal name: Advances and Applications in Mathematical Sciences
      Year: 2019

71. Title of the Publication : Neutrosophic quotient mappings
      Name of the authors: T.Nandhini and M.Vigneshwaran 
      Journal name:  Advances and Applications in Mathematical Sciences
      Year: 2019

72. Title of the Publication :  Neutrosophic supra b*gα-closed sets 
      Name of the authors: S.Saranya and M.Vigneshwaran
      Journal name: Advances and Applications in Mathematical Sciences
      Year: 2019

1.    A. R. Nivetha
    Title of the Thesis :   General Topology and Neutrosophic Topology
    Date of Award : Ongoing

2.    K. Suthi Keerthana 
    Title of the Thesis :   General Topology and Neutrosophic Topology
    Date of Award : Ongoing

3.    Pooja
    Title of the Thesis :   General Topology and Neutrosophic Topology
    Date of Award : Ongoing

4. Shalini
    Title of the Thesis :   General Topology 
    Date of Award : Ongoing

1.    Dr.K.Baby
    Title of the Thesis :   On Quasi µ - H - normal and Quasi µ - H – regular Spaces using β*g α µ - open sets in Hereditary and Soft Generalized Topological Spaces
    Date of Award :   05.10.2017

2.    Dr.L.Vidyarani
    Title of the Thesis :   Supra N-Compactness and Supra N-Connectedness in Supra topological spaces and Intuitionistic Supra N-closed set in Intuitionistic Supra Topological Spaces
    Date of Award :   13.08.2018

3.    Dr.K.Krishnaveni
    Title of the Thesis :   On bTµ-Compact Spaces and bTµ-Separation axioms in Supra Topological Spaces
    Date of Award :   20.08.2018

4.    Dr.K.Geetha
    Title of the Thesis :   Strongly p*gα-compactness and strongly p*gα-connectedness in topological spaces and nanop*gα-homeomorphisms in nano topological spaces
    Date of Award :   30.09.2019

5.    S.Sarnya
    Title of the Thesis :   A study non Neutrosophic b*gα-closed sets and its existence by using .NET Framework
    Date of Award :   07.10.2020

6.    T.Nandhini
    Title of the Thesis :   A study on αg#y-closed sets in Neutrosophic topological spaces
    Date of Award :   12.01.2021

7.    K.Damodharan
    Title of the Thesis :   A study on Nδ*gα-closed sets inNeutrosophic topological spaces and its existence using Python Programming
    Date of Award :   28.02.2022