DEPARTMENT OF MATHEMATICS

Department of Mathematics

(M.Phil -Thesis submitted/Awarded)

SI. No.

Student Name

Title

Guide Name

1

Arnab Mitra

Functions of bounded variation

Dr.A.Jayalakshmi

2

Jayachitra

Finite Dimensional Wavelet Theory

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Dr.T.Venugopal

3

A.Parasuraman

Generalized Fourier Transform

4

J.Sengamalaselvi

Input output analysis – A mathematical perspective

5

P.Senthil Kumar

Discrete wavelet transform – Lifting technique and filter bank approach

6

A.Karthikeyan

Generalized convolution transform

7

N.Arivuchezhian

Generalized Weierstrass transform

8

M.Saravanan

Applications of wavelets in Poisson equations and text to speech systems

9

Sangeetha

Applications of wavelets in Signal Processing

10

V.K.Radhakrishnan

Application of wavelets in Genetic Sequence Analysis

11

Gayathri

A study on Monoids and Automata

12

S.Srividhya

Applications of graph coloring through GRIN

13

K.Mahalakshmi 

Applications of Linear Programming through

Spreadsheets

14

S.Bhagyalakshmi

Finite Fields

15

P.Anitha

Optimization of intelligent routing and re routing of efficient path in VoIP

16

S.Komala

Introduction to Wavelets – A finite dimensional perspective

17

M.Adithya

Sanskrit and theoretical computer science

 

 

 

 

Dr.T.Venugopal

18

S.Anbarasi

Finite Automata using JFLAP

19

K.Santi

Applications of Discrete Calculus

20

A.Shakila

Web Mining

21

M.Sivam

Clustering with graph

22

Shirley

A Generalized Representation

Theorem

23

Anand.G

Optimization Techniques Using Matlab

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Dr.K.Srinivas Rao

24

Ramesh.P

Partial Ordering and Ternary Operation on C-Algebra

25

Thiyagarajan.P

Differential Equations as Mathematical Modelling

26

Bakeyalakshmi

Study on Parabolic Partial Differential Equations Using Numerical Methods

27

Sangeetha .J

Study on Hyperbolic Partial Differential Equations Using Numerical Methods

28

B.Muralidharan

Generating Pre A*-Algebras From Boolean Algebra And Boolean Algebras From Pre A*-Algebra

29

Dhakshinamoorthy.D

Wiener index and graph energy of coronene and dicoronylene structures

30

Jeyanthi.V

Study on Mathematical Modelling –Aided with Matlab

31

Gayathri. G

Characterization of Ovalene and Kekulene

32

Ezhilarasi.S

Topological Indices of Some Polycyclic Aromatic Hydrocarbons

 

 

33

Tamilselvi .V

If-Then-Else Operator on Boolean Algebra ,C-Algebra And Pre A*-Algebra

 

 

 

 

 

 

 

Dr.K.Srinivas Rao

34

Harini.D

Markov Model In Pagerank And For Cache Systems

35

Arul.D

Study on Zagreb Indices

36

P.Chinnaraji

Graph energy, hosoya polynomial and wiener index for some chemical structures

37

M.Karthik

Graph energy, wiener index for some chemical structures

38

V.Hema latha

Fractional Matching of a graph

 

 

 

 

 

 

 

 

 

 

 

 

N.Saradha

39

S.Dheenadhayalan

A study on neighborhood domination in graphs

40

S.Pavithra

A study on equitable domination of a graph

41

V.Sugunambigai

A study on dominator coloring of a graph

42

V.Ramesh

A study on triple connected domination of a graph

43

Bharathi raja S.K

A study on connected domination, total domination, connected co independent domination, total co independent domination

44

Enban Madhu Shankar

A study on vertex edge dominating set , vertex edge domination polynomial in path and vertex edge domination polynomial in cycle

45

Vijayalakshmi

A study on complementary tree domination of a graph

46

 Natarajan. A

A study on connected domination of a graph

 

 

47

Prakash

Study on split domination of a graph

 

 

N.Saradha

48

Angammal

Study on complementary acyclic preserving sets in graphs

49

N.Ramya

Haskell’s Programming in Discrete Mathematics

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Ms. R.Malathi

50

S.Sujatha

Sinusoid In Discrete Fourier Transform and Inverse Discrete Fourier Transform

51

A. Priya

Bounds on the Domination Number

52

S.Aswini

Elegant labling graph

53

Tamizhvani

Applications of Gaussion Methods in Circuit theory

54

K.sarannya

Application of Operations Research

55

M.Logeswari

Network Models

 

56

T.Tamilselvi

Edge domination in graph

57

D.R.Gomathi

Elements of abstract and linear algebra

58

R.Alwin

Cordial Labeling On Balanced Signed Graphs

 

59

S.Logeshwari

 

Intuitionistic and Classical Propositional Logic

60

N.Chandrika

 

Graph colouring problem applied in genetic algorithm

61

S.Ravi kumar

Tranportation Problem and its implementation in C Language

 

 

62

J.Kavitha

Eccentricity and Critical Path

 

 

 

 

 

Ms. R.Malathi

63

C.Rajamani

Applications of Generalized a – difference operator

64

Ramajayam.C

Fundamental of Mathematics and Algebra

65

Manokaran.S

Balanced Signed Graph

66

Lavanya.M

Electronic objects of Tree and Adjacency Matrix in Graph Theory

67

M. Tamizmozhi

Analysis Of Marked Graph Of S4pr Model Of Flexible Manufacturing

System Using Sign Incidence Matrix

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Mr. P. Balaji

68

R.Kaviyarasan

Marked graphs of machine that process one job at a time and a basic schema of a production state and their conversion in to diagraphs

69

M.N.Kumaran

Marked graph of automated manufacturing cell with three machines three robots and two part types and conversion diagraph

70

G.Manonmani

Analysis of marked graphs of machine that process one job at a time and basic schema of a production stage using sign incidence matrix

71

P.Arumugam

Analysis of Marked graphs of an automated manufacturing cell with three machines and three robots using sign incidence matric

 

72

Viswalingam.K

Applications of Petrinets in Scheduling

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Mr. P. Balaji

73

Thameem.A

A study on manufacturing system and petrinet

74

V. Murali

Deadlock prevention and analysis in petrinets using siphons and mathematical programming

75

M.Munivel

Modeling shared memory system with stochastic petri nets

76

A.Kanniyappan

Analysis of generalized stochastic petri nets

77

S.Arumugam

Timed petri nets

78

S.Muthu

Marked graphs of independent Kanban control system and  ndependent extended Kanban control system and their conversion into diagraphs

79

M.Sathyaraj

Analysis of diagraph of non-deadlock free FMS and Matching station with four machines and two robots.

80

G.Suganthi

Marked graphs of basic stock control system and Kanban control system and their conversion into diagraphs

81

Kumari  N

Methods of  Isomorphism

 

 

 

Ms.D.Vijayalakshmi

82

M.Mohanasundari

Study on prufer coding and decoding algorithm

83

Jayasree.R

Construction  of co spectral graphs

84

D.Ramya

Comparative study of similarity of proteins

85

G.Gowthaman

Methods for chromatic polynomial

 

 

86

Jyothi

Algorithms in Graph theory

Ms.D.Vijayalakshmi

87

S.Sathyabama

Study on Hypergraphs

88

M.Baskar

A study on Euler circuit-August 2016

89

Umesh raj.M.

Study on Perron Frobenious theorem with complete graph.

90

Dineshkumar. G.

Some Studies of  Primal-Dual Algorithms on Shortest Routing Problems

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Dr.E.Geetha

91

Janakiraman. B

Polynomial Time Algorithm For Minimum Edge Dominating Sets

92

Umamaheswari .V

Some Investigations on Functions of acyclic graphs

93

Udhayasuriya.V

Some Investigations on studies of Root systems and line graphs

94

P. Vadivukannan

Some studies on Applications of partial differential equations in fluid dynamics

95

S. Balaji

Studies on the solutions of the parabolic partial differential equations

96

M.Nallathambi

Application of Differential Equation in some fields

97

S.Sundarakrishnan

Some studies on Optimal Binary Search Trees

98

G.Raghu

Some studies on coloring the vertices in a graph

99

S.Revathy

Multidimensional  Bipartite Graph

100

M.Suhasini

Two series of Edge 4 – Critical Grotzsch Sachs graphs generated by four curves in the plane

 

 

101

D.Radha

Solving real life locomotive scheduling problems

 

Dr.E.Geetha

102

D. Rowthri

Studies on a similarity measure for graphs

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Ms R.Mageswari

103

K. Jayakrishnan

Studies on Magic labeling of graphs

104

S.Amrinnisa

Studies On Ramsey Theory And Ramsey Number In Graphs

105

R.JAYAKUMAR

 

A Hamiltonian Decomposition Of Five Star

 

106

A.Sasikala

A Study On Vertex Magic Total Labelings Of Complete Graphs

107

D.ROWTHRI

 

A Similarity Measure For Graphs

 

108

S.Vijayan

Studies On Coding Theory And Its Applications

109

V.R.Sakthivel

Studies On Tree Traversal Methods And Algorithms

 

110

C.DEEPIKA

A Simple Study On Measuring Similarity  In Graphs

111

K.Jayakrishnan

Studies On Magic Labeling Of Graphs

112

K.Karthikeyan

Stability Of Functional Equation In Banach Space

 

113

Ramya.B

A Study On Single Server Retrial Queue With General Service Time

 

 

 

 

Nagarajan.P

114

E. Sudhakar

A study on single server retrial queue with exponential service time

115

V.Ayyanar

A study on single server queuing system with inventory and lost sales

116

M.Panneerselvam

A Study on single server queueing system with (r,Q) policy

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Nagarajan.P

117

M.kannan

A study on Mx/G/1 queuing system with vacation times

118

K.Nakkeeran

A study on Mx/(G1,G2)/1 queue with restricted admissibility and random setup time

119

V.Selvamurugan

A study on some concept of balanced graph, balanced cycles and balanced holes

120

M. SenthilKumaran

A study on single server fixed batch service queueing system under multiple vacations with gated service

121

K.Varadhan

A study on MX/G/1 queue with a Bernoulli vacation schedule under restricted admissibility policy

122

S.Sarathkumar

A Study on   M[X]/G/1 queue with Bernoulli Vacation, General vacation times, Random breakdowns, General delay times, and General repair times

123

R.Karunamoorthy

A Study on M[X] /G/1 queueing system with Bernoulli vacation and unreliable server

124

D.Elumalai

A study on MX/Ma,b/1 queueing system with random breakdowns

125

S.Murali

A Study on MX/G/1 queueing system with a setup period and a vacation period

 

 

 

126

Kadarbasha

Mathematical Model through ordinary  Differential equations of First orders

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Ms. J. Sengamalaselvi

127

Kalaiarasan

Simulation and its Application

128

Vimala.T

Queuing Models and its Applications

129

Premalatha.B

Application of Queuing Theory in ante natal care unit

130

R. Hemapriya

Various culves and its application through winplot

131

D. Vijayan

Dynamics optimization models and its applications

132

K.Palani

Execution of ICT in the mathematics education by using the open source software geogebra to B.T & P.G mathematics teacher in Thiruvannamalai District

133

S.Pavithra

A study on knowledge and awarness of ICT related aspects among higher secondary students by using the open source mathematics software geogebra

134

J.Settu

Implementation of ICT in mathematics by the use of open source software winplot

135

E.Vijayarani

Effectiveness of using geogebra on secondary education student and understanding in learning geometry and graph

 

 

 

136

Latha.T

Enactmentation of information and communication technology in mathematics by the use of open source software

 

Ms. J. Sengamalaselvi

137

k.Selvaraju

A Primal-Dual Heuristic For The Travelling Salesman Problem

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Ms. S. Vijayabarathi

138

T.Dhayalan

Application of Queueing in Healthcare

139

K.Shanthi

Symmetries of Group.

140

T.Mohan Raj

A study on Error in Numerical Methods.

141

V.Dhakshayani

A study on Application of Eigen Values And Eigen Vectors.

142

P.Bhavani

A Study on Fuzzy Hypergraph Through Isomorohism.

143

P.Jayapal

A Study on Sylow’s Theorem

144

P.Kuppan

A Study on Graph   in Operation Research.

145

R.Rani

A Study on Boolean Algebra in Circuit Theory.

146

M.Govindammal

Study on Group Theory.

147

D.Baskaran

Comparitive Study on Boolean algebra,C-Algebra & PreA*-algebra.

148

R.Nithya

Unique Representation of Boolean Function.

149

R.Nedunchezhiyan

Modular and Distributive Lattice

150

A.Thangalasi

Study of differential equation in fluid dynamics

151

K.Kanchana

A Comparative Study of Analysis of Electrical Circuit Using Graph Theory and Circuit Lab

 

 

 

Ms. K. Pramila

152

R. Krishna Kumari

Representation of Replication of a Viron using Graph coloring.

 

 

 

 

 

 

 

 

 

 

 

 

Ms. K. Pramila

153

V.Sermakani

Exam Scheduling by Vertex coloring Using  Graph Interface

154

V.Sridharan

Perfect and Efficient Edge Domination in graphs

155

Balaji.S

GPS Control Networks and its Gross Error Cheking using graph theory

156

G.Lakshmanan

A study on Domination of a Graph

157

Silambarasan

Transportation Problem in Fuzzy Environment

158

V.Anitha

Solving Fuzzy Transportation Problem using Various Ranking Techniques

159

K. Uma Lakshmi

A Study on vertexcoloring

160

J.Sathya

Study on Self Dual and Partial Dualityof Graphs

161

D. Sankar

Graph Theory as applied to social network analysis a case study

Mr.V.K. Radhakrishnan

162

M. Sankar

A Study on Graceful Labeling of Graphs

163

C. Backiaraj

A Study on Skolem Difference Mean Graphs

164

S. Saravanan

A Study on Divisor Cordial Labeling Graph

165

S. Senapathi

A Study on Dual Graphs

166

V. Gayathri

An Algebraic approach to Coding Theory

167

P. Balamani

Application of Differential Equations in Oscillating Pendulum

 

 

168

T. Sridhar

An Approach to Group Action on Fuzzy Ideals

Mr.V.K. Radhakrishnan

169

D. Krishnan

A Study on m-Polar Fuzzy Graphs and its Applications

170

K. Kumar

A Study on Shift Sequence for Nurse Scheduling using Linear Programming Problem

171

A. Ganesh

A Study on Steiner Trees and its Applications

172

T.Saranya

Synthesis of Connectivity and its Applications

 

 

 

 

 

 

Ms. A. Dhanalakshmi

 

 

 

173

S.Palani

Generalization of Ulam stabilities of Cauchy additive functional equation

174

K.Suresh

The Bivariate Poisson Negative Binomial distribution and its application

175

E.Kothandaraman

Applications of Oscillation Theory for neutral delay differential equations

176

Jayapriya

Evaluation Of Present  Value Through Laplace Transform

177

K. Revathi

Application of fuzzy set matrices and super fuzzy matrices

178

N. Anandhan

Matching s and coloring graphs

179

P.Sakthivel

Effective in teaching learning assessment using Mega stat

180

M.Punitha

Hosoya, Schultz, Modified Schultz Polynomials and their Related Indices

 

 

 

 

181

K. Ravikumar

Analysis of marked graph of two machine system processing two part types using sign incidence matrix

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

K.Bharathi

182

M. Saravanan

Time and frequency off set  estimation using of DMA  uplink system using mathematical optimization

183

M. Ashok Kumar

Design of Dual rate systems using Z-Transform and Alias component block matrices

184

J.Subramani

Mathematical Programming

Techniques In Sample Surveys

185

D.Murugan

 

Testing The Solution Of Optimality For

Transportation Problem

Using Matlab

186

K.Venkatesan

 

A Study On Planarity And

Non –Planarity Of Graphs

 

187

R.Parimala

Growth of difference operator and its application in numerical methods

188

S. Kavitha

Application of eigen values and eigen vectors

 

 

 

 

 

 

Ms. T.N. Kavitha

189

V.samundeeswari

A study on certain classes of close- to convex- function

190

D.Latha

On the approximation of analytic functions represented by dirichlet series

191

P.K.Annamalai

Applications of First Order Differential Equations to Population Dynamics

 

192

M.Vinayagamoorthi

A Data analysis about the knowledge of Thirukkural from 1330 educated peoples and Mathematics in Thirukkural

Mathematics in Thirukkural

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Ms. T.N. Kavitha

193

D.Murugan

Cryptography Using Mathematics

194

A. Sakthivel

Modelling puzzles using linear equations in mathematics

195

S. Radhakrishnan

Generalization of Intuitionistic Fuzzy Ideals In Γ- Near rings

196

E. Manivannan

A Note on semigroups, monoids,groups and Equivalent definition of a group

197

E. Umapathi

A study on pebbling graph embeddable on surfaces

198

L.Shanmugasundaram

Application of Bisection Method in real life

199

V. Revathi

On a study of derivations and generalized

Derivations of inclined algebra

PHD SCHOLARS LIST

NameTitleYear
V.K.RadhakrishnanDevelopment of Optimal Network Model for Tourism and Queuing Management in Temples – with case studies on Kanchipuram2018
D.VijayalakshmiApplication of Graph theoretical methods in Protein Analyses2018
R.MageswariStudy of Protein Characteristics Using Graph Theoretical Techniques and Contact Maps2018
K.PramilaRanking the Alternatives with Risk Analysis and Confidence Levels in Fuzzy Multi Criteria Decision Making Problems2018
N.SaradhaStudies in Graph theory with special reference to equivalence sets2018
A.DhanalakshmiGraph theoretical characterization of some chemical structures for finding Topological indices as molecular descriptors2017
S.VijayabharathiFormalistic Filiations of Pre A* algebra with Boolean Algebra2017
A.GayathriMathematical and Experimental studies on Wave Propagation in few liquid and solid systems with special reference to traditional practices in Hindu Temples2017
R.MalathiDesign of Knowledge Discovery and Decision Support System using Jaina Logic2016
J.SengamalaselviStudies on Effectiveness of ICT with Geogebra and Winplot as learning tools2016
T.N.KavithaSemi Groups with special algebraic structures2016
E.GeethaStudies on First order Chemical Reaction and MHD effects on linearly accelerated vertical plate in the presence of Thermal Radiation2014
G. Uthra Risk and Confidence Analysis for Fuzzy MCDM and Fuzzy Pert using Trapezoidal Fuzzy Numbers 2009
S. Lavanya Coloring of Fuzzy Graphs 2009
R. Ganapathy Raman On the Circular Chromatic Number of a Deleted Vertex Sub graph 2009
Y.B. Venkata Krishnan Studies in Bipartite Theory of Graphs 2010
G. Jayalalitha Mathematical Modeling in Biology – Using Fractals 
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