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  • Software Testing with Budget Constraints 
    MAITY, SOUMEN (IEEE, 2012-06)
    This article deals with constructions of covering arrays which are extremely useful in software testing in order to guarantee 3-way coverage of parameter values, while trying to minimize the number of test cases. A practical ...
  • Mixed Covering Arrays on Hypergraphs 
    YASMEEN; MAITY, SOUMEN (Springer, 2012-08)
    Mixed covering arrays are natural generalizations of covering arrays that are motivated by applications in software and network testing. A strength three mixed covering array C is a k×n array with the cells of row i is ...
  • Gap junctions and excitation patterns in continuum models of islets 
    GOEL, PRANAY; Sneyd, James (American Institute of Mathematical Sciences, 2012-09)
    We extend the development of homogenized models for excitable tissues coupled through "doughball" gap junctions. The analysis admits nonlinear Fickian fluxes in rather general ways and includes, in particular, calcium-gated ...
  • A Simple Generalization of the ElGamal Cryptosystem to Non-Abelian Groups II 
    MAHALANOBIS, AYAN (Taylor & Francis, 2012-09)
    This is a study of the MOR cryptosystem using the special linear group over finite fields. The automorphism group of the special linear group is analyzed for this purpose. At our current state of knowledge, I show that ...
  • Two functionals connected to the Laplacian in a class of doubly connected domains on rank one symmetric spaces of non-compact type 
    CHORWADWALA, ANISA M. H.; M. K. Vemuri (Springer Nature, 2012-11)
    Let B 1 be a ball in a non-compact rank-one symmetric space and let B 0 be a smaller ball inside it. It is shown that if y is the solution of the problem −Δu = 1 in B1∖B0¯ vanishing on the boundary, then the Dirichlet-energy ...
  • Knot theory in understanding proteins 
    MISHRA, RAMA; Bhushan, Shantha (Springer Nature, 2012-12)
    This paper aims to enthuse mathematicians, especially topologists, knot theorists and geometers to examine problems in the study of proteins. We have highlighted those advances and breakthroughs in knot theory that directly ...
  • Reconstruction of a superscheme from its derived category 
    Dubey, Umesh; MALLICK, VIVEK MOHAN (Ramanujan Mathematical Society, 2012-12)
    The aim of this paper is to construct a "super" version of a tensor triangulated category, and to show that superschemes can be reconstructed from its category of perfect complexes in a way similar to Balmer [Bal05] provided ...
  • Tests for Comparing the Progression of an Epidemic in Two Groups 
    DESHPANDE, J. V.; Lam, K.F.; NAIK-NIMBALKAR, UTTARA; Xu, Y. (Indian Statistical Association., 2013-01)
    The severity of an epidemic is quantied by measures like the death rate, the cure rate, the case fatality rate (CFR) and the real-time fatality rate. In an outbreak of a completely new infectious disease, estimation of the ...
  • Remarks on the metric induced by the Robin function II 
    BORAH, DIGANTA (University of Michigan, Department of Mathematics, 2013-01)
    Abstract:
  • Are Matrices Useful in Public-Key Cryptography? 
    MAHALANOBIS, AYAN (Hikari, 2013-01)
    The discrete logarithm problem is the most prolific cryptographic primitive in use. Though the most important ones are the DiffieHellman problem and the decision Diffie-Hellman problem. In this paper, we discuss the discrete ...
  • A New Construction of Resilient Boolean Functions with High Nonlinearity 
    MAITY, SOUMEN; Arackaparambil, Chrisil; Meyase, Kezhasono (Charles Babbage Research Center, 2013-01)
    In this paper we develop a technique that allows us to obtainnew effective construction of 1-resilient Boolean functions with verygood nonlinearity and autocorrelation. Our strategy to construct a1-resilient function is ...
  • The Automorphism Group of the Group of Unitriangular Matrices over a Field 
    MAHALANOBIS, AYAN (Hikari, 2013-01)
    This paper finds a set of generators for the automorphism groupof the group of unitriangular matrices over a field. Most of this paper is an exposition of the work of V.M. Lev˘chuk, part of which is in Russian. Some proofs ...
  • Ratios of periods for tensor product motives 
    BHAGWAT, CHANDRASHEEL; RAGHURAM, A. (International Press, 2013-01)
    In this paper, we prove some period relations for the ratio of Deligne’s periods for certain tensor product motives. These period relations give a motivic interpretation for certain algebraicity results for ratios of ...
  • Nodal Parity Invariant for knotted rigid vertex graphs 
    Kauffman, Louis h.; MISHRA, RAMA (World Scientific Publishing, 2013-04)
    This paper introduces new invariants of rigid vertex graph embeddings by using non-local combinatorial information that is available at each graphical node.
  • Polynomial Unknotting and Singularity Index. 
    MISHRA, RAMA (Department of Mathematics, Kyungpook National University, 2013-06)
    We introduce a new method to transform a knot diagram into a diagram of an unknot using a polynomial representation of the knot. Here the unknotting sequence of a knot diagram with least number of crossing changes can be ...
  • Learning Theories Reveal Loss of Pancreatic Electrical Connectivity in Diabetes as an Adaptive Response 
    GOEL, PRANAY; Mehta, Anita (Public Library Science, 2013-08)
    Cells of almost all solid tissues are connected with gap junctions which permit the direct transfer of ions and small molecules, integral to regulating coordinated function in the tissue. The pancreatic islets of Langerhans ...
  • On local Galois representations associated to ordinary Hilbert modular forms 
    BALASUBRAMANYAM, BASKAR; Ghate, Eknath; Vatsal, Vinayak (Springer Nature, 2013-11)
    Let F be a totally real field and p be an odd prime which splits completely in F. We show that a generic p-ordinary non-CM primitive Hilbert modular cuspidal eigenform over F of parallel weight two or more must have a ...
  • On parabolic bundles on algebraic surfaces 
    PARTHASARATHI, R. (Ramanujan Mathematical Society, 2013-12)
    The aim of this paper is to construct the parabolic version of the Gieseker-Uhlenbeck map from the Gieseker compactification of the moduli space of parabolic stable bundles to the Donaldson-Uhlenbeck compactification of ...
  • On The Elementary Subgroup of GLnGLnGLnOver Rings 
    BASU, RABEYA (Ramanujan Mathematical Society, 2013-12)
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  • Risk-Sensitive Control for the Parallel Server Model 
    Atar, Rami; GOSWAMI, ANINDYA; Shwartz, Adam (Society for Industrial and Applied Mathematics, 2013-12)
    A Markovian queueing model is considered in which servers of various types work in parallel to process jobs from a number of classes at rates $\mu_{ij}$ that depend on the class, $i$, and the type, $j$. The problem of ...

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