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DOI of the published article https://doi.org/10.54216/PMTCS.050103
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HyperWeighted Graph, SuperHyperWeighted Graph, and MultiWeighted Graph

##article.authors##

  • Takaaki Fujita Independence

DOI:

https://doi.org/10.31224/4679

Keywords:

Weighted Graph, HyperWeighted Graph, Weighted Set, Graph

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. Our objective is to enhance understanding and broaden awareness of their theoretical foundations and potential applications through renewed analysis and formal refinement.

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Posted

2025-06-06

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Copyright (c) 2025 Takaaki Fujita

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This work is licensed under a Creative Commons Attribution 4.0 International License.