Mathematics and Computer Science

Volume 10, Issue 1, February 2025

  • Research Article

    The Interplay of Ethics, Consciousness, and Human Purpose

    Mohammed Zeinu Hassen*

    Issue: Volume 10, Issue 1, February 2025
    Pages: 1-14
    Received: 16 December 2024
    Accepted: 30 December 2024
    Published: 17 January 2025
    DOI: 10.11648/j.mcs.20251001.11
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    Abstract: This article examines the intricate interplay between ethics, consciousness, and human purpose within the rapidly evolving landscape of artificial intelligence (AI). It contends that these three dimensions are crucial for ensuring AI development aligns with human values and aspirations. The article highlights key ethical concerns, including bias, a... Show More
  • Research Article

    Sufficient Conditions for Wiener Index, Hyper-Wiener Index and Harary Index of the Hamilton Graph

    Jiangyi Liu*

    Issue: Volume 10, Issue 1, February 2025
    Pages: 15-18
    Received: 26 December 2024
    Accepted: 7 January 2025
    Published: 17 February 2025
    DOI: 10.11648/j.mcs.20251001.12
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    Abstract: The topological index can be used to depict the structural properties of graphs, and the Hamiltonian problem of graphs has always been a classical problem in graph theory. In this work, we use some known conditions to give some sufficient conditions for Hamilton graphs by the Wiener index, Hyper-Wiener index and Harary index of a graph.
  • Research Article

    Graph Entropy Based on Wiener Polarity Index Under Four Kinds of Graph Operations

    Chen Yang*, Chongmin Li

    Issue: Volume 10, Issue 1, February 2025
    Pages: 19-25
    Received: 14 December 2024
    Accepted: 25 December 2024
    Published: 17 February 2025
    DOI: 10.11648/j.mcs.20251001.13
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    Abstract: The Wiener polarity index of a graph G, is the number of unordered pairs of vertices that are at distance 3 in G. This index can reflect the specific distance relation between vertices in the graph, and provides a new way for the study of graph structure. In this paper, the graph entropy based on Wiener polarity index defined. Based on the above de... Show More