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Fuzzy Chroamtic Number of Line Graph using α-Cuts
This paper presents the concept of the chromatic number of line graphs using α-cuts. It builds on previous work by Munoz et al. and explores the fuzzy chromatic numbers of various graph types, including complete, cycle, star, wheel, and line graphs, with results summarized.
Fuzzy Chroamtic Number of Line Graph using α-Cuts
- 1. International Journal ofComputing Algorithm, Vol 4(1), June 2015 ISSN(Print):2278-2397 Website: www.ijcoa.com Fuzzy Chroamtic Number of Line Graph using α- Cuts J.Jon Arockiaraj,K.Parthiban Department of Mathematics, St. Joseph’s college of Arts and Science Cuddalore, Tamilnadu, India Abstract In this paper, we introduce chromatic number of line graph using α-cuts. The concept of chromatic number of fuzzy graphs was introduced by Munoz et.al, later Eslahchi and onagh. They are defined by the fuzzy chromatic number of complete graphs (kn), cycle graph (cn), star graph (sn), wheel graph (wn), and line graph are found and results are summarized.