Mathematics: Recent submissions

  • Edge consecutive gracefulness of a graph 
    Pereira, J.; Singh, T.; Arumugam, S. (Discrete Applied Mathematics. 280; 2020; 214-220.)
    We present several basic results on ecg and use this parameter to prove that any connected graph G can be embedded as an induced subgraph of a graceful graph and as an induced subgraph of an eulerian graceful graph.
  • On Fibonacci Sequence and Its Extensions 
    Phadte, C.N.
  • A Study of Generalizations of Fibonacci Sequence 
    Arolkar, S.P.
  • h(x)-B-Tribonacci and h(x)-B-Tri Lucas polynomials 
    Arolkar, S.; Valaulikar, Y.S. (Kyungpook Mathematical Journal. 56(4); 2016; 1125-1133.)
    In this paper we introduce h(x)-B-Tribonacci and h(x)-B-Tri Lucas polynomials. We also obtain the identities for these polynomials.
  • On two new classes of B-q-bonacci polynomials 
    Arolkar, S.; Valaulikar, Y.S. (Journal of Integer Sequences. 21; 2018; ArticleID_18.4.1-.)
    In this paper we define two new classes of polynomials associated with generalized Fibonacci polynomials. We call them h(x)-B-q-bonacci polynomials and incomplete h(x)-B-q-bonacci polynomials. We present some identities ...
  • Approximation Methods for Ill-Posed Operator Equations 
    George, S.
  • A nonlinear extension of Fibonacci Sequence 
    Tamba, M.; Valaulikar, Y.S. (Turkish Journal of Analysis and Number Theory. 4(4); 2016; 109-112.)
    A new extension of Fibonacci sequence which yields a nonlinear second order recurrence relation is defined. Some identities and congruence properties for the new sequence are obtained.
  • On a B-q bonacci Sequence 
    Arolkar, S.; Valaulikar, Y.S. (International Journal of Advances in Mathematics. 2017(1); 2017; 1-8.)
    In this paper q-th order linear recurrence relation is defined. This new sequence is an extension of Fibonacci sequence in such a way that the coefficients of the terms on the right hand side of its recurrence relation, ...
  • Differential inequalities for a first order neutral differential equations 
    Kumari, M.; Valaulikar, Y.S. (Advances in Theoretical and Applied Mathematics. 11(3); 2016; 199-202.)
    We present a comparison result to discuss the periodic boundary value problem for neutral differential equation with piecewise constant delay.
  • Congruence properties of some partition functions 
    Tamba, M. (Notes on Number Theory and Discrete Mathematics. 21(3); 2015; 77-79.)
    Let M(n)=(N3(n)/48), where N3(n) denotes the number of ways in which n can be written as sum of three squares. We study the congruence properties of some partition functions in relation to M(16n + 14).

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