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Hybrid ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Exploring the properties and applications of complex fuzzy cut vertices and bridges

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pp. 1091–1098Vol. 27Issue 5August 2024DOI: 10.47974/JIM-1935XML
Received:
08 Mar 2024
Published Online:
30 Aug 2024
Article type:
Research Article
Language:
EN
Article no.:
JIM-1935
Pages:
1091–1098

Abstract

Within the context of complex fuzzy graphs, this study presents and investigates the ideas of complex fuzzy cut vertices and complex fuzzy bridges. By adding degrees of membership or truth in edges, complex fuzzy graphs expand upon standard graph theory and provide a more complex representation of connections. By finding vertices whose removal will gradually affect the network’s connectedness due to various degrees of membership, we redefine cut vertices as complex fuzzy cut vertices. In a similar vein, we expand the concept of bridges to include complex fuzzy bridges and identify edges whose removal would cause progressive structural changes in the graph. This paper explores the characteristics, methods, and mathematical underpinnings of these ideas.

Keywords

Subject Classifications

(2020) 05C72

References

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