Connectivity Analysis of Cyclically Balanced Fuzzy Graphs Article Swipe

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YOU? · · 2015 · Open Access · · DOI: https://doi.org/10.1016/j.fiae.2015.05.008

The concepts of connectivity and cycle connectivity play an important role in fuzzy graph theory. In this article, cyclic cutvertices, cyclic bridges and cyclically balanced fuzzy graphs are discussed. It is proved that a vertex in a fuzzy graph is a cyclic cutvertex if and only if it is a common vertex of all strong cycles with maximum strength. Also a cyclic cutvertex cannot be a fuzzy endvertex in a fuzzy graph. A characterization of cyclically balanced fuzzy graphs is obtained. Cyclic vertex connectivity and cyclic edge connectivity of fuzzy graphs are also discussed.

Related Topics

Vertex (Graph Theory)

Artificial Intelligence

Concepts

Vertex (graph theory) Mathematics Fuzzy logic Combinatorics Fuzzy number Discrete mathematics Circulant graph Graph Fuzzy set Line graph Computer science Voltage graph Artificial intelligence

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Type: article
Language: en
Landing Page: https://doi.org/10.1016/j.fiae.2015.05.008
PDF: https://www.tandfonline.com/doi/pdf/10.1016/j.fiae.2015.05.008?needAccess=true
OA Status: gold
Cited By: 18
References: 24
Related Works: 10
OpenAlex ID: https://openalex.org/W857814950

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DOI: https://doi.org/10.1016/j.fiae.2015.05.008

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Title: Connectivity Analysis of Cyclically Balanced Fuzzy Graphs

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Type: article

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Language: en

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Publication year: 2015

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Publication date: 2015-06-01

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Authors: N. Jicy, Sunil Mathew

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Landing page: https://doi.org/10.1016/j.fiae.2015.05.008

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PDF URL: https://www.tandfonline.com/doi/pdf/10.1016/j.fiae.2015.05.008?needAccess=true

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Concepts: Vertex (graph theory), Mathematics, Fuzzy logic, Combinatorics, Fuzzy number, Discrete mathematics, Circulant graph, Graph, Fuzzy set, Line graph, Computer science, Voltage graph, Artificial intelligence

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Cited by: 18

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Citations by year (recent): 2025: 1, 2024: 4, 2023: 3, 2022: 2, 2021: 3

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References (count): 24

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Related works (count): 10

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