International Journal of Discrete Mathematics

Volume 3, Issue 2, June 2018

  • An Binary Problem of Goldbach Euler and Its Generalization

    Bagram Sibgatullovich Kochkarev

    Issue: Volume 3, Issue 2, June 2018
    Pages: 32-35
    Received: 30 March 2018
    Accepted: 3 May 2018
    Published: 24 May 2018
    DOI: 10.11648/j.dmath.20180302.11
    Abstract: We prove that for any even positive integer 2k greater than 6 one can find a pair of primes one of which is less than k and the other is greater than k and their sum is 2k. The article shows that such property of even numbers allows to build effective cryptographic systems.
  • One-Dimensional Bin-Packing Problems with Branch and Bound Algorithm

    Niluka P. Rodrigo, Wasantha B. Daundasekera, Athula I. Perera

    Issue: Volume 3, Issue 2, June 2018
    Pages: 36-40
    Received: 28 March 2018
    Accepted: 14 May 2018
    Published: 2 June 2018
    DOI: 10.11648/j.dmath.20180302.12
    Abstract: In this paper, our objective is to develop a mathematical formulation of solving the Bin Packing Problem (BPP) with different sizes of box. It has become one of the most important mathematical applications throughout the time. In our study, Modified Branch and Bound Algorithm (MBBA) is developed to generate all the feasible packing patterns of give... Show More