Strong Fuzzy Detour μ – Centre in Fuzzy Graphs

The strong fuzzy detour μ-distance ∆_s (u,v) between two vertices of a connected fuzzy graph G is defined as the maximum of the μ-length of all strong paths connecting u and v. We introduce the strong fuzzy detour μ-eccentricity, μ-radius, μ-diameter, and μ-center notions. Based on these concepts, we establish some properties.

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Publication Details

Journal
Communications on Applied Nonlinear Analysis
Published
2025-10-15
DOI
https://doi.org/10.52783/cana.v32.6130
Primary Topic
Graph Labeling and Dimension Problems
Type
article
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article

Strong Fuzzy Detour μ – Centre in Fuzzy Graphs

K.Dillibabu J.Umamaheshwari
Communications on Applied Nonlinear Analysis
Graph Labeling and Dimension Problems
article

Strong Fuzzy Detour μ – Centre in Fuzzy Graphs

K.Dillibabu J.Umamaheshwari
article en

Abstract

The strong fuzzy detour μ-distance ∆_s (u,v) between two vertices of a connected fuzzy graph G is defined as the maximum of the μ-length of all strong paths connecting u and v. We introduce the strong fuzzy detour μ-eccentricity, μ-radius, μ-diameter, and μ-center notions. Based on these concepts, we establish some properties.

Communications on Applied Nonlinear AnalysisVol. 32(10s)
Openalex Percentile: Top 69%
Graph Labeling and Dimension Problems
DOIOpen Access PDFOpenAlex
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Strong Fuzzy Detour μ – Centre in Fuzzy Graphs — K.Dillibabu J.Umamaheshwari · Communications on Applied Nonlinear Analysis (2025) | TGRS Research Map | TGRS