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Journal Articles: Recent submissions

  • Parameterized algorithms for Max Colorable induced subgraph problem on perfect graphs 
    Misra, Neeldhara; Panolan, Fahad; Rai, Ashutosh; Raman, Venkatesh; Saurabh, Saket (Springer Verlag, 2018-04)
    We address the parameterized complexity of Max Colorable Induced Subgraph on perfect graphs. The problem asks for a maximum sized q-colorable induced subgraph of an input graph G. Yannakakis and Gavril (Inf Process Lett ...
  • Information-sharing and decision-making in networks of radiation detectors 
    Yadav, Indrajeet; Pahlajani, Chetan D.; Tanner, Herbert G.; Poulakakis, Ioannis (Springer Verlag, 2018-02)
    A network of sensors observes a time-inhomo-geneous Poisson signal and within a fixed time interval has to decide between two hypotheses regarding the signal’s intensity. The paper reveals an interplay between network ...
  • Abel–Tauber process and asymptotic formulas 
    Banerjee, D.; Chakraborty, K.; Kanemitsu, S.; Maji, Bibekananda (Faculty of Mathematics, Kyushu University, 2018-02)
    The Abel-Tauber process consists of the Abelian process of forming the Riesz sums and the subsequent Tauberian process of differencing the Riesz sums, an analogue of the integration-differentiation process. In this article, ...
  • Quadrics defined by skew-symmetric matrices 
    Saha, Joydip; Sengupta, Indranath; Tripathi, Gaurab (Hikari, 2017-11)
    In this paper we propose a model for computing a minimal free resolution for ideals of the form I1(XnYn), where Xn is an n n skew-symmetric matrix with indeterminate entries xij and Yn is a generic column matrix with ...
  • A generalized modified Bessel function and a higher level analogue of the theta transformation formula 
    Dixit, Atul; Kesarwani, Aashita; Moll, Victor H. (Elsevier, 2018-03)
    A new generalization of the modified Bessel function of the second kind is studied. Elegant series and integral representations, a differential-difference equation and asymptotic expansions are obtained for it thereby ...
  • On second-order conditions for nonsmooth problems with constraints 
    Dhara, Anulekha; Luc, Dinh The; Tinh, Phan Nhat (Springer Verlag, 2012)
    To study the su ciency of an optimization problem, one either imposes some convexity assumptions or consider second order optimality conditions. In this paper we establish second order optimality conditions for nonsmooth ...
  • An asymptotic expansion of a Lambert series associated to cusp forms 
    Chakraborty, Kalyan; Juyal, Abhishek; Kumar, Shiv Datt; Maji, Bibekananda (World Scientific Publishing, 2018-02)
    Zagier’s conjecture on the asymptotic expansion of the Lambert series ∑n=1∞τ2(n)exp(−nz), where τ(n) is the Ramanujan’s tau function, was proved by Hafner and Stopple. Recently, Chakraborty, Kanemitsu and Maji have ...
  • Numerical simulation of singularly perturbed reaction-diffusion equation using finite element method 
    Srivastava, Akanksha (Springer, 2017-07)
    This article deals with the study of sign-changing solutions of the nonlinear singularly perturbed reaction-diffusion equation. Sign changing solutions of the nonlinear problem do not appear to have been previously studied ...
  • Some highlights of our research contributions 
    Pai, D. V. (The Indian Mathematical Society, 2017-01)
    In the first part of this exposition, one will review certain early contributions of the author in the area of Optimization and Approximation, which are of some nostalgic value to him. in the second part, one will be mostly ...
  • Road to Mathematical sciences in India-a relook 
    Pai, D. V. (The Indian Mathematical Society, 2017-01)
    By mathematical sciences, we would understand here a broad spectrum of knowledge that encompasses pure mathematics, applied mathematics, statistics, mathematics of OR, computational mathematics, mathematical physics, ...
  • Eigenvalue problem for fractional Kirchhoff Laplacian 
    Tyagi, Jagmohan (European Mathematical Society, 2017)
  • Positive solution of extremal Pucci’s equations with singular and sublinear nonlinearity 
    Tyagi, Jagmohan; Verma, Ram Baran (Spriger, 2017-08)
    In this paper, we establish the existence of a positive solution to {−M+λ,Λ(D2u)=μk(x)f(u)uα−ηh(x)uqu=0in Ωon ∂Ω, {−Mλ,Λ+(D2u)=μk(x)f(u)uα−ηh(x)uqin Ωu=0on ∂Ω, where ΩΩ is a smooth bounded domain in Rn, n≥1.Rn, n≥1. ...
  • Asymptotics and exact formulas for Zagier polynomials 
    Dixit, Atul; Glasser, M. Lawrence; Moll, Victor H.; Vignat, Christophe (SpringerOpen, 2017-07)
    In 1998 Don Zagier introduced the modified Bernoulli numbers B∗nBn∗ and showed that they satisfy amusing variants of some properties of Bernoulli numbers. In particular, he studied the asymptotic behavior of B∗2nB2n∗, and ...
  • On a theorem of A. I. Popov on sums of squares 
    Dixit, Atul; Kim, Sun; Zaharescu, Alexandru (American Mathematical Society, 2017-04)
    Let $ r_k(n)$ denote the number of representations of the positive integer $ n$ as the sum of $ k$ squares. In 1934, the Russian mathematician A. I. Popov stated, but did not rigorously prove, a beautiful series transformation ...
  • Existence of solutions to fully nonlinear elliptic equations with gradient nonlinearity 
    Tyagi, Jagmohan; Verma, Ram Baran (Mathematical Society of the Republic of China, 2017-04)
    In this article, we study the existence and multiplicity of nontrivial solutions to the problem    − 2F(x, D2u) = f(x, u) + ψ(Du) in Ω, u = 0 on ∂Ω, where Ω is a smooth bounded domain in R n, n > 2. We show ...
  • Randomly perturbed switching dynamics of a dc/dc converter 
    Pahlajani, Chetan D. (American Institute of Mathematical Sciences, 2016-12)
    In this paper, we study the effect of small Brownian noise on a switching dynamical system which models a first-order DC/DC buck converter. The state vector of this system comprises a continuous component whose dynamics ...
  • On equality of certain automorphism groups 
    Sharma, Vishakha; Kour, Surjeet (Taylor & Francis, 2017-02)
    Let G = H×A be a group, where H is a purely non-Abelian subgroup of G, and A is a non-trivial Abelian factor of G. Then, for n≥2, we show that there exists an isomorphism ϕ:Autγn(G)Z(G)(G)→Autγn(H)Z(H)(H) such that ...
  • On a theorem of A. I. Popov on sums of squares 
    Dixit, Atul; Kim, Sun; Zaharescu, Alexandru; Berndt, Bruce C. (American Mathematical Society, 2017)
  • Minimal graded free resolutions for monomial curves in 𝔸4 defined by almost arithmetic sequences 
    Sengupta, Indranath; Roy, Achintya Kumar; Tripathi, Gaurab (Taylor & Francis, 2017-02)
    Let m = (m0, m1, m2, n) be an almost arithmetic sequence, i.e., a sequence of positive integers with gcd(m0, m1, m2, n) = 1, such that m0 < m1 < m2 form an arithmetic progression, n is arbitrary and they minimally generate ...
  • An iterative method with fifteenth-order convergence to solve systems of nonlinear equations 
    Srivastava, Akanksha (Springer International Publishing, 2016-10)
    In this article, a modification of Newton’s method with fifteenth-order convergence is presented. The modification of Newton’s method is based on the method of fifth-order convergence of Hu et al. First, we present theoretical ...

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