Fuzzy incidence coloring on cartesian product of some fuzzy incidence graphs

The Fuzzy Incidence Coloring (FIC) of a graph is a mapping of its Fuzzy Incidence set to a color set in which adjacent Fuzzy Incidences (FIs) are colored with different colors. Using various sorts of fuzzy graph products, new graphs can be created from two existing graphs. In this paper, we determin...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2023-05, Vol.44 (5), p.7753-7774
Main Authors: Yamuna, V., Arun Prakash, K.
Format: Article
Language:English
Subjects:
Cartesian coordinates
Coloring
Fuzzy sets
Graphs
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Summary:The Fuzzy Incidence Coloring (FIC) of a graph is a mapping of its Fuzzy Incidence set to a color set in which adjacent Fuzzy Incidences (FIs) are colored with different colors. Using various sorts of fuzzy graph products, new graphs can be created from two existing graphs. In this paper, we determined the Fuzzy Incidence Coloring Number (FICN) of some cartesian product with two Fuzzy Incidence Paths (FIPs) ( P m ˜ × P n ˜ ) , two Fuzzy Incidence cycles ( C m ˜ × C n ˜ ) , two Fuzzy Incidence complete graphs ( K m ˜ × K n ) ˜ , FIP and Fuzzy Incidence cycle ( P m ˜ × C n ) ˜ , FIP and Fuzzy Incidence complete graph ( P m ˜ × K n ) ˜ , Fuzzy Incidence cycle and Fuzzy Incidence complete graph ( C m ˜ × K n ) ˜ , respectively.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-221113