International Journal of Discrete Mathematics

Volume 2, Issue 3, September 2017

  • Heavy Metals Pollution in Soil and Its Influence in South of Iraq

    Luma Naji Mohammed Tawfiq, Farah Feasal Ghazi

    Issue: Volume 2, Issue 3, September 2017
    Pages: 59-63
    Received: 27 January 2017
    Accepted: 18 February 2017
    Published: 9 March 2017
    DOI: 10.11648/j.dmath.20170203.11
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    Abstract: The aim of this paper is to determine the significant levels of some heavy metals such: lead, chromium, nickel and cadmium, were determined. Sources of pollution and their distribution according to presence of elements in the soils over the whole zone of the province of Maysan in southern of Iraq were investigated 36 soil samples from different zon... Show More
  • Some Aspects of Certain Form of Near Perfect Numbers

    Bhabesh Das, Helen K. Saikia

    Issue: Volume 2, Issue 3, September 2017
    Pages: 64-67
    Received: 29 January 2017
    Accepted: 7 March 2017
    Published: 24 March 2017
    DOI: 10.11648/j.dmath.20170203.12
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    Abstract: It is well known that a positive integer n is said to be near perfect number, if σ(n) = 2n+d where d is a proper divisor of n and function σ(n) is the sum of all positive divisors of n In this paper, we discuss some results concerning with near perfect numbers from known near perfect numbers.
  • Refined Numerical Simulation of Environmental Flow, Mixing and Transport in Amazon River Near Manaus City Closed by Multiple Turbulence Models

    Li-ren Yu, Jun Yu

    Issue: Volume 2, Issue 3, September 2017
    Pages: 68-79
    Received: 5 February 2017
    Accepted: 3 March 2017
    Published: 24 March 2017
    DOI: 10.11648/j.dmath.20170203.13
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    Abstract: This paper reports a refined numerical simulation for Amazon River, aiming to develop a mathematical model and numerical tool for modeling and predicting turbulence flows and contaminant transport in complex natural waters. In the mathematical model, the depth-averaged two-equation closure turbulence model, together with model and model, were us... Show More
  • Some Explicit and Hybrid Strong Convergence Algorithms for Solving the Multiple-Sets Split Feasibility Problem

    Peiyuan Wang, Jianjun Zhou, Risheng Wang, Jie Chen

    Issue: Volume 2, Issue 3, September 2017
    Pages: 80-87
    Received: 6 February 2017
    Accepted: 1 March 2017
    Published: 24 March 2017
    DOI: 10.11648/j.dmath.20170203.14
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    Abstract: In this paper, we present several explicit and hybrid strong convergence algorithms for solving the multiple-sets split feasibility problem (MSSFP). Firstly, we modify the existing successive, parallel and cyclic algorithms with the hybrid steepest descent method; then two new hybrid formulas based on the Mann type method are presented; Two general... Show More
  • Solution of the Hyperbolic Partial Differential Equation on Graphs and Digital Spaces: A Klein Bottle a Projective Plane and a 4D Sphere

    Alexander V. Evako

    Issue: Volume 2, Issue 3, September 2017
    Pages: 88-94
    Received: 1 February 2017
    Accepted: 28 February 2017
    Published: 29 March 2017
    DOI: 10.11648/j.dmath.20170203.15
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    Abstract: This paper studies the structure of the hyperbolic partial differential equation on graphs and digital n-dimensional manifolds, which are digital models of continuous n-manifolds. Conditions for the existence of solutions are determined and investigated. Numerical solutions of the equation on graphs and digital n-manifolds are presented.
  • A Coupling Method of Regularization and Adomian Decomposition for Solving a Class of the Fredholm Integral Equations Within Local Fractional Operators

    Hassan Kamil Jassim

    Issue: Volume 2, Issue 3, September 2017
    Pages: 95-99
    Received: 9 February 2017
    Accepted: 13 March 2017
    Published: 29 March 2017
    DOI: 10.11648/j.dmath.20170203.16
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    Abstract: In this paper, we will apply the combined regularization-Adomian decomposition method within local fractional differential operators to handle local fractional Fredholm integral equation of the first kind. Theoretical considerations are being discussed. To illustrate the ability and simplicity of the method, some examples are provided. The iteratio... Show More
  • Effective Approach for Code Coverage Using Monte Carlo Techniques in Test Case Selection

    Varun Jasuja, Rajesh Kumar Singh

    Issue: Volume 2, Issue 3, September 2017
    Pages: 100-106
    Received: 20 February 2017
    Accepted: 13 March 2017
    Published: 29 March 2017
    DOI: 10.11648/j.dmath.20170203.17
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    Abstract: Source code analysis alludes to the profound examination of source code and/or gathered form of code with a specific end goal to help discover the imperfections as far as security, comprehensibility, understanding and related parameters. In a perfect world, such systems consequently discover the defects with such a high level of certainty that what... Show More
  • Several Remarks on q-Binomial Inverse Formula and Examples

    Qing Zou

    Issue: Volume 2, Issue 3, September 2017
    Pages: 107-111
    Received: 22 January 2017
    Accepted: 20 March 2017
    Published: 13 April 2017
    DOI: 10.11648/j.dmath.20170203.18
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    Abstract: In this paper, we first give some comments on the paper [J. Goldman and G. C. Rota, on the foundations of combinatorial theory IV finite vector spaces and Eulerian generating functions, Stud. Appl. Math., 49: 239--258 (1970)]. In that paper, Goldman and Rota showed two incorrect inversion formulas in Section 3. We point out the formulas and give th... Show More
  • Computing Certain Topological Indices of Generalised Mycielskian Graphs

    Nilanjan De

    Issue: Volume 2, Issue 3, September 2017
    Pages: 112-118
    Received: 10 February 2017
    Accepted: 24 March 2017
    Published: 14 April 2017
    DOI: 10.11648/j.dmath.20170203.19
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    Abstract: The generalized Mycielskians are the generalization of the Mycielski graphs, which were introduced by Mycielski in 1955. A topological index is a numeric parameter mathematically derived from a graph and is invariant under automorphism of graphs. Topological indices are widely used for establishing correlations between the structure of a molecular ... Show More