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
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 |