Pure Mathematics for Theoretical Computer Science

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Volume 5 , Issue 1 , PP: 21-33, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

HyperWeighted Graph, SuperHyperWeighted Graph, and MultiWeighted Graph

Takaaki Fujita 1 *

  • 1 Independent Researcher, Shinjuku, Shinjuku-ku, Tokyo, Japan - (takaaki.fujita060@gmail.com)
  • Doi: https://doi.org/10.54216/PMTCS.050103

    Received: November 29, 2024 Revised: January 27, 2025 Accepted: February 25, 2025
    Abstract

    A weighted graph is a graph in which each edge is assigned a numerical value (weight), typically representing cost, distance, or intensity. In this paper, we revisit and further explore three generalizations of weighted graphs: the Hyperweighted Graph, the Superhyperweighted Graph, and the MultiWeighted Graph. These advanced structures were initially introduced in.10 Our objective is to enhance understanding and broaden awareness of their theoretical foundations and potential applications through renewed analysis and formal refinement

    Keywords :

    HyperWeighted Graph , SuperHyperWeighted Graph , Weighted Graph , Weighted Set

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    Cite This Article As :
    Fujita, Takaaki. HyperWeighted Graph, SuperHyperWeighted Graph, and MultiWeighted Graph. Pure Mathematics for Theoretical Computer Science, vol. , no. , 2025, pp. 21-33. DOI: https://doi.org/10.54216/PMTCS.050103
    Fujita, T. (2025). HyperWeighted Graph, SuperHyperWeighted Graph, and MultiWeighted Graph. Pure Mathematics for Theoretical Computer Science, (), 21-33. DOI: https://doi.org/10.54216/PMTCS.050103
    Fujita, Takaaki. HyperWeighted Graph, SuperHyperWeighted Graph, and MultiWeighted Graph. Pure Mathematics for Theoretical Computer Science , no. (2025): 21-33. DOI: https://doi.org/10.54216/PMTCS.050103
    Fujita, T. (2025) . HyperWeighted Graph, SuperHyperWeighted Graph, and MultiWeighted Graph. Pure Mathematics for Theoretical Computer Science , () , 21-33 . DOI: https://doi.org/10.54216/PMTCS.050103
    Fujita T. [2025]. HyperWeighted Graph, SuperHyperWeighted Graph, and MultiWeighted Graph. Pure Mathematics for Theoretical Computer Science. (): 21-33. DOI: https://doi.org/10.54216/PMTCS.050103
    Fujita, T. "HyperWeighted Graph, SuperHyperWeighted Graph, and MultiWeighted Graph," Pure Mathematics for Theoretical Computer Science, vol. , no. , pp. 21-33, 2025. DOI: https://doi.org/10.54216/PMTCS.050103