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 CAlgebra  
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  IfThenElse Operator on Boolean Algebra ,CAlgebra 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 S^{4}pr 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 nondeadlock 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 circuitAugust 2016  
89  Umesh raj.M.  Study on Perron Frobenious theorem with complete graph.  
90  Dineshkumar. G.  Some Studies of PrimalDual 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 M^{x}/G/1 queuing system with vacation times  
118  K.Nakkeeran  A study on M^{x}/(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 M^{X}/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 M^{X}/M^{a,b}/1 queueing system with random breakdowns  
125  S.Murali  A Study on M^{X}/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 PrimalDual 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,CAlgebra & 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 mPolar 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 ZTransform 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
Name  Title  Year 
V.K.Radhakrishnan  Development of Optimal Network Model for Tourism and Queuing Management in Temples – with case studies on Kanchipuram  2018 
D.Vijayalakshmi  Application of Graph theoretical methods in Protein Analyses  2018 
R.Mageswari  Study of Protein Characteristics Using Graph Theoretical Techniques and Contact Maps  2018 
K.Pramila  Ranking the Alternatives with Risk Analysis and Confidence Levels in Fuzzy Multi Criteria Decision Making Problems  2018 
N.Saradha  Studies in Graph theory with special reference to equivalence sets  2018 
A.Dhanalakshmi  Graph theoretical characterization of some chemical structures for finding Topological indices as molecular descriptors  2017 
S.Vijayabharathi  Formalistic Filiations of Pre A* algebra with Boolean Algebra  2017 
A.Gayathri  Mathematical and Experimental studies on Wave Propagation in few liquid and solid systems with special reference to traditional practices in Hindu Temples  2017 
R.Malathi  Design of Knowledge Discovery and Decision Support System using Jaina Logic  2016 
J.Sengamalaselvi  Studies on Effectiveness of ICT with Geogebra and Winplot as learning tools  2016 
T.N.Kavitha  Semi Groups with special algebraic structures  2016 
E.Geetha  Studies on First order Chemical Reaction and MHD effects on linearly accelerated vertical plate in the presence of Thermal Radiation  2014 
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 