International Journal of Discrete Mathematics

Archive

Volume 2, Issue 4, December 2017

  • Some Forbidden Subgraphs of Trees Being Opposition Graphs

    In-Jen Lin, Yi-Wu Chang, Cheng-Wei Pan

    Issue: Volume 2, Issue 4, December 2017
    Pages: 119-124
    Received: 17 March 2017
    Accepted: 28 March 2017
    Published: 15 May 2017
    DOI: 10.11648/j.dmath.20170204.11
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    Abstract: In this paper, we use the number of vertices with degree greater than or equal to 3 as a criterion for trees being opposition graphs. Finally, we prove some families of graphs such as the complement of Pn, Cn with n≥3 and n = 4k, for k∈ℕ, are opposition graphs and some families of graphs such as the complement of Tn, Cn with n≥3 and n ≠ 4k, for k∈ℕ... Show More
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  • On Recurrence Relations and Application in Predicting Price Dynamics in the Presence of Economic Recession

    Philip Ajibola Bankole, Ezekiel Kadejo Ojo, Mary Olukemi Odumosu

    Issue: Volume 2, Issue 4, December 2017
    Pages: 125-131
    Received: 26 February 2017
    Accepted: 27 March 2017
    Published: 8 June 2017
    DOI: 10.11648/j.dmath.20170204.12
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    Abstract: Recurrence relations is one of the fundamental Mathematical tools of computation as most computational tasks rely on recursive techniques at one time or the other. In this paper, we present some important theorems on recurrence relations and give more simplified approach of determining an explicit formula for a given recurrence relation subject to ... Show More
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  • Some Bounds of the Largest H-eigenvalue of R-uniform Hypergraphs

    Bo Deng, Xia Wang, Chunxia Wang, Xianya Geng

    Issue: Volume 2, Issue 4, December 2017
    Pages: 132-135
    Received: 29 August 2017
    Accepted: 13 September 2017
    Published: 6 November 2017
    DOI: 10.11648/j.dmath.20170204.13
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    Abstract: The spectral theory of graphs and hypergraphs is an active and important research field in graph and hypergraph theory. And it has extensive applications in the fields of computer science, communication networks, information science, statistical mechanics and quantum chemistry, etc. The H-eigenvalues of a hypergraph are its H-eigenvalues of adjacen... Show More
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