×

Fuzzy line graphs. (English) Zbl 0785.05069

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.

MSC:

05C60 Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.)
05C99 Graph theory
PDFBibTeX XMLCite
Full Text: DOI