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IMSc Theses/ Dissertations: Recent submissions

  • Exact Algorithms for Optimization and parameterized versions of some graph theoretic problems[HBNI Th6] 
    Saket Saurabh (The Institute of Mathematical Sciences, 2009)
    The class of NP-hard combinatorial optimization problems, need to be solved exactly for various applications in theory and practice, brings the need for exact algorithms. Parameterized complexity is an exact algorithmic ...
  • Classifying certain algebraic problems using Logspace counting classes[HBNI Th5] 
    Vijayaraghavan, T. C. (The Institute of Mathematical Sciences, 2009)
    In this thesis the results showing a finer classification of the complexity of several algebraic problems that have efficient polynomial time algorithms are obtained. The problems based on Group theory and Linear Algebra ...
  • Studies in SU(2) Savvidy model of QCD[HBNI Th4] 
    Alok Kumar (The Institute of Mathematical Sciences, 2009)
    Quantum Chromo Dynamics is accepted as the theory of strong interaction of quarks and gluons. It is a gauge theory with the gauge group as SU(3)C1 the unbroken color group. In this thesis the author examines the ground ...
  • Some explicit minimal graded free resolutions[HBNI Th2] 
    Aaloka, Kanhere (The Institute of Mathematical Sciences, 2009)
    This thesis has three parts. In the first part an irreducible curve C in P^2 is considered. The Veronese map is used for mapping it to P^5 and the resolutions are computed. In the second part, looking into two distinct ...
  • Acyclic edge colouring: Bounds and algorithms[HBNI Th3] 
    Rahul Muthu (The Institute of Mathematical Sciences, 2009)
    An acyclic edge colouring of a graph is an assignment of colours to its edges in such a way that incident edges get distinct colours, and the edges of any cycle use atleast three distinct colours. The latter condition is ...
  • Planar Algebra of the Subgroup-Subfactor[HBNI Th1] 
    Ved Prakash, Gupta (The Institute of Mathematical Sciences, 2009)
    An identification between the planar algebra of the subgroup-subfactor R x H subset of R x G is given and the G-invariant planar subalgebra of the planar algebra of the bipartite graph *n (the graph with 1 odd and n even ...
  • Explicit integral Galois Module structure for low degree abelian extensions 
    Manisha, V. Kulkarni (, 2009-09-14)
    'Let M be a finite abelian extension of of Q. Then the ring of integers OM of M is a free, rank one module over the associated order AM/Q'. There is no method for constructing a Z(G) basis for OM when OM is free over Z(G). ...
  • Asymptotic behaviour of some Optimal Control Problems 
    Muthukumar, T. (, 2009-09-14)
    The theory of homogenization of partial differential equations is a concept that deals with the study of the macroscopic behaviour of a composite medium through its microscopic properties. The aim of this thesis is to ...
  • D-Branes on Landau-Ginsberg orbifolds and Calabi-Yau spaces. 
    Ezhuthachan, Bobby Vinod Kr. (, 2009-09-14)
    In this thesis the author had tried to identify the objects that correspond, at large volume to the fractional 2-branes in C^n / ZN orbifolds. The fractional two-branes have a fractional first Chern class and also have ...
  • Studies in Loop quantum Cosmology 
    Hossain, Golam Mortuza (2009-09-11)
    The standard model of cosmology is based on Einstein's relativistic theory of gravity, together with an implementation of the cosmological principle. It is formulated using the Friedmann-Robertson Walker(FRW) solution of ...
  • Aspects of Particle Emission from Black Holes 
    Soumen, Basak (, 2009-09-11)
    Using the analogy between a shrinking fluid vortex (drain bath tub) modelled as a (2+1)-dimensional fluid flow with a sink at the origin, and a rotating black hole with an ergosphere, it is shown that a scalar sound wave ...
  • Aspects of noncommutativity in Field and String theory and Closed String Tachyon Condensation 
    Swarnendu, Sarkar (, 2009-09-11)
    This thesis studies two problems; The first part of the thesis analyses some of the aspects of noncommutativity in field and string theory; The mixing of the ultraviolet and the infrared sectors in noncommutative field ...
  • Reasoning about distributed message passing systems 
    Meenakshi, B. (, 2009-09-10)
    This thesis is concerned with the use of formal methods towards automatic verification of distributed message passing systems with a fixed finite number of agents. Main concentration is on developing logics to reason about ...
  • Topology of Toric Varieties 
    Uma, V. (, 2009-09-09)
    This thesis is devoted to a study of the cohomology and K-theory of complex toric bundles and the fundamental group of real toric varieties. Since the discovery of toric varieties in the early 1970's, the subject has ...
  • Foundations of Security Protocol Analysis 
    Suresh, S. P. (2009-09-09)
    One of the central problems in the automatic verification of security protocols is that of verifying whether a given protocol leaks secrets or not. It identifies syntactic subclasses of protocols for which the secrecy ...
  • Quantum spin liquids and connections with nonlinear sigma models 
    Naveen, Surendran (, 2009-09-08)
    The low energy properties of many strongly correlated electronic systems can be described by an effective theory in terms of just spin degrees of freedom. One of the simplest interacting model, Heisenberg model has been ...
  • Theoretical study of excitations in interacting Bose and Fermi systems 
    Ghosh, Tarun Kanti (2009-09-04)
    This thesis is devoted to theoretical study of various aspects of low energy collective excitations in a trapped interacting alkali-metal atomic gases (Bose and Fermi) and of fractional quantum hall systems. An equation ...
  • Geometry of Moving space curves associated with integrable equations: Connections and applications 
    Murugesh, S. (, 2009-09-03)
    An unified approach to study possible connections between the geometry of moving space curves in three dimensional space and integrable nonlinear evolution equations in (1+1) dimensions, has been formulated. This unified ...
  • Aspects of Matrix Models 
    Subrata Bal (, 2009-09-02)
    The matrix model is an impressive candidate for M-theory (Non perturbative string theory). This thesis investigates the two important aspects of the Physics of Matrix Model, finite temperature matrix model and Fuzzy ...
  • Succinct data structures 
    Srinivasa Rao, S. (2009-09-01)
    This thesis aims to develop space efficient structures for some of the most fundamental problems in the area of data structures. The design of data structures that use almost optimal space while supporting the operations ...

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