Mordeson, John N. Fuzzy line graphs. (English) Zbl 0785.05069 Pattern Recognit. Lett. 14, No. 5, 381-384 (1993). The author defines and studies the concept of a fuzzy line graph of a fuzzy graph. The necessary and sufficient conditions for a fuzzy graph to be isomorphic to its corresponding fuzzy line graph are given. Also established is a necessary and sufficient condition for a fuzzy graph to be a fuzzy line graph of a fuzzy graph. Reviewer: D.P.Brown (Carbondale) Cited in 24 Documents MSC: 05C60 Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) 05C99 Graph theory Keywords:isomorphism; line graph; fuzzy graph PDFBibTeX XMLCite \textit{J. N. Mordeson}, Pattern Recognit. Lett. 14, No. 5, 381--384 (1993; Zbl 0785.05069) Full Text: DOI