Semitotal Blocks in Fuzzy Graphs
This paper Â is a study of Â semitotal blocks in fuzzy graphs.Â During the study some interesting results regarding the semitotal blocks in fuzzy graphs are obtained.Â It is observed that when â€˜Bâ€™ is a block of a given fuzzy graphÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â G:(V, Ïƒ, Âµ), then degree of the vertex B in semi total block fuzzy graph TSTBF(G) is equal to the sum of the membership grade of the vertices in that block and the number of edges in TSTBF(G) related to block B is âˆ£ V(B)âˆ£ with membership grade minimum of Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Ïƒ(u), Ïƒ(B).Â Finally, the result is âˆ£E STBF(G)âˆ£ = âˆ£ EF(G)âˆ£ + âˆ£V(B1)âˆ£ + âˆ£V(B2)âˆ£ + . . .Â + âˆ£V(Bk)âˆ£.
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