Fuzzy Lucky Labeling and Proper Fuzzy Lucky Labeling of Special Graphs
Authors
Karthikeyan C
Department of Mathematics, Government Arts College, Udumalpet, Tirupur, Tamilnadu. (IN)
Sivasubramanian M
Department of Mathematics, Government Arts and Science College, Valparai, Coimbatore, Tamilnadu. (IN)
Article Information
DOI: 10.51583/IJLTEMAS.2025.1409000040
Subject Category: Mathematics
Volume/Issue: 14/9 | Page No: 290-299
Publication Timeline
Submitted: 2025-10-02
Published: 2025-10-02
Abstract
Abstract—This paper introduces fuzzy lucky labelling and proper fuzzy lucky labeling of graphs. A fuzzy lucky labeling assigns fuzzy values from (0, 1] to vertices such that induced sums at adjacent vertices differ, while the proper version additionally requires distinct labels for neighbours. We establish key theorems, including existence results and relationships with chromatic number, and compute fuzzy lucky numbers for special graphs such as stars, bull graphs, and fork graphs.
Keywords
Fuzzy lucky labeling, proper labeling, special graphs, graph theory, fuzzy graphs
This article is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).
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