International Journal of Discrete Mathematics

Volume 4, Issue 1, June 2019

  • Reducing Computational Time of Principal Component Analysis with Chinese Remainder Theorem

    Madandola Tajudeen Niyi, Gbolagade Kazeem Alagbe

    Issue: Volume 4, Issue 1, June 2019
    Pages: 1-7
    Received: 1 February 2019
    Accepted: 12 March 2019
    Published: 30 March 2019
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    Abstract: It is of paramount importance to establish an identity of citizenry to curb criminalities. Principal Component Analysis (PCA) which is one of the foremost methods for feature extraction and feature selection is adopted for identification and authentication of people. The computational time used by PCA is too much and Chinese Remainder Theorem was e... Show More
  • A Study on Matrices Using Interval Valued Intuitionistic Fuzzy Soft Set and Its Application in Predicting Election Results in India

    Somen Debnath

    Issue: Volume 4, Issue 1, June 2019
    Pages: 8-20
    Received: 3 February 2019
    Accepted: 8 March 2019
    Published: 2 April 2019
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    Abstract: Nowadays the concept of matrix is used widely in different fields such as engineering, medical, economics, game theory, geology, computer science etc. Matrices are also used in representing the real world data like the population of people, infant mortality rate etc. In economics very large matrices are used for optimization of problems. Matrices p... Show More
  • Performance Comparison of Various Kernels of Support Vector Regression for Predicting Option Price

    Biplab Madhu, Arindam Kumar Paul, Raju Roy

    Issue: Volume 4, Issue 1, June 2019
    Pages: 21-31
    Received: 6 February 2019
    Accepted: 18 March 2019
    Published: 10 April 2019
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    Abstract: The study of the functioning of hepatitis B viruses in the liver cell using methods of mathematical modeling is considered one of the topical issues. In this article, the results on identifying of areas of regimes of the functional-differential equations of the mathematical model of regulatory mechanisms of hepatocyte with hepatitis B viruses (HBV)... Show More
  • Computer Simulations of Regulatory Mechanisms of Hepatocyte with Hepatitis B Viruses Interconnected Dynamics

    Mahruy Saidalieva, Mohiniso Baxromovna Hidirova, Abrorjon Maxamatsoliyevich Turgunov

    Issue: Volume 4, Issue 1, June 2019
    Pages: 32-37
    Received: 13 February 2019
    Accepted: 13 March 2019
    Published: 10 April 2019
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    Abstract: The study of the functioning of hepatitis B viruses in the liver cell using methods of mathematical modeling is considered one of the topical issues. In this article, the results on identifying of areas of regimes of the functional-differential equations of the mathematical model of regulatory mechanisms of hepatocyte with hepatitis B viruses (HBV)... Show More
  • A Lot of Examples of Generalized Weak Bi-Frobenius Algebras

    Yan Sun, Xiaohui Zhang

    Issue: Volume 4, Issue 1, June 2019
    Pages: 38-44
    Received: 23 February 2019
    Accepted: 4 April 2019
    Published: 26 April 2019
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    Abstract: In this paper, by considering the tensor product of a bi-Frobenius algebra and a weak Hopf algebra, a lot of examples of the generalized weak bi-Frobenius algebras are given, such as the 16-dimensional, 24-dimensional and 40-dimensional GWBF algebras. They provide a common generalization of weak Hopf algebras introduced by Böhm, Nill, Szlachányi, a... Show More
  • (Alpha, Beta)-Normal and Skew n-Normal Composite Multiplication Operator on Hilbert Spaces

    Senthil, Nithya, Suryadevi, David Chandrakumar

    Issue: Volume 4, Issue 1, June 2019
    Pages: 45-51
    Received: 15 February 2019
    Accepted: 19 March 2019
    Published: 6 May 2019
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    Abstract: In this paper, the condition under which composite multiplication operators on Hilbert spaces become skew n-normal operators, (Alpha, Beta)-normal, parahyponormal and quasi-parahyponormal have been obtained in terms of radon-nikodym derivative.
  • New Non-binary Quantum Codes Over Fq+uFq+vFq+uvFq

    Leilei Gao

    Issue: Volume 4, Issue 1, June 2019
    Pages: 52-56
    Received: 24 February 2019
    Accepted: 10 April 2019
    Published: 6 May 2019
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    Abstract: Let R= Fq+uFq+vFq+uvFq be a commutative ring with u2=u, v2=v, uv=vu, where q is a power of an odd prime. Ashraf and Mohammad constructed some new quantum codes from cyclic codes. Under this background, another Gray map from R to Fq4 is given. This map can be naturally extended to Rn. The problem on the ring turns to the field by this isomorphic map... Show More
  • On Topological Indices of Subdivided and Line Graph of Subdivided Friendship Graph

    Hifza Iqbal, Jabeen, Zeeshan Saleem Mufti, Muhammad Ozair Ahmad

    Issue: Volume 4, Issue 1, June 2019
    Pages: 56-60
    Received: 25 February 2019
    Accepted: 8 April 2019
    Published: 6 May 2019
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    Abstract: Topological indices are numerical parameters which characterizes the topology of a molecular graph, they corelate certain physo-chemical properties and importantly they are structure invariant. Degree based topological indices play vital role among others. In this paper, by means of edge dividing trick, the closed formulas of atom bond connectivity... Show More