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Article type: Research Article
Authors: Kadeeja Mole, K.P.; * | Sameena, Kalathodi
Affiliations: Department of Mathematics, MES Mampad College, Mampad, Kerala, India
Correspondence: [*] Corresponding author: K.P. Kadeeja Mole, Department of Mathematics, MES Mampad College, Mampad, Kerala, 676542, India. Tel.: +918921696968; E-mail: kadeeja@mesmampadcollege.edu.in.
Abstract: In this work, several operations on fuzzy graphs are introduced: u-product, strong edge product, and k th power. The relationship between the fuzzy chromatic number of resultant fuzzy graphs of operations union, join, and newly developed operations and the fuzzy chromatic number of associated fuzzy graphs is also investigated using fuzzy colouring techniques. The number of captures in a chess puzzle move is calculated using the fuzzy colouring approach.
Keywords: Fuzzy graph, fuzzy chromatic number, operations of fuzzy graphs, strong edge, fuzzy colouring
DOI: 10.3233/JIFS-223263
Journal: Journal of Intelligent & Fuzzy Systems, vol. 45, no. 1, pp. 549-561, 2023
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