World Journal of Engineering Research and Technology (WJERT) has indexed with various reputed international bodies like : Google Scholar , Index Copernicus , Indian Science Publications , SOCOLAR, China , International Institute of Organized Research (I2OR) , Cosmos Impact Factor , Research Bible, Fuchu, Tokyo. JAPAN , Scientific Indexing Services (SIS) , Jour Informatics (Under Process) , UDLedge Science Citation Index , International Impact Factor Services , International Scientific Indexing, UAE , International Society for Research Activity (ISRA) Journal Impact Factor (JIF) , International Innovative Journal Impact Factor (IIJIF) , Science Library Index, Dubai, United Arab Emirates , Scientific Journal Impact Factor (SJIF) , Science Library Index, Dubai, United Arab Emirates , Eurasian Scientific Journal Index (ESJI) , Global Impact Factor (0.342) , IFSIJ Measure of Journal Quality , Web of Science Group (Under Process) , Directory of Research Journals Indexing , Scholar Article Journal Index (SAJI) , International Scientific Indexing ( ISI ) , 

World Journal of Engineering
Research and Technology

( An ISO 9001:2015 Certified International Journal )

An International Peer Reviewed Journal for Engineering Research and Technology

ISSN 2454-695X

Impact Factor : 5.924

ICV : 79.45

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    NOVEMBER 2021 Issue has been successfully launched on 1 November 2021.




*P. Nithya and K. M. Dharmalingam


Let G be a fuzzy graph. A subset D of V is said to be fuzzy dominating set if every vertex u?V(G) there exist there exist a vertex v?V ?D such that uv?E(G) and ?(uv) ?? (u)?? (v) . The minimum cardinality of fuzzy dominating set is denoted by (G) f ? . A Fuzzy graph G is said to be Fuzzy excellent if for every vertex of G belongs to f ? -set of G. In this paper, we introduced a new class of total fuzzy excellent and just total fuzzy excellent (JTFE). Also, in this paper we initiate to study an induced subgraph of a total fuzzy excellent graph and we obtain a necessary and sufficient condition for a graph to be just total fuzzy excellent. We find an upper bound for (G) f t ? . We also prove that every just total fuzzy excellent graph contains no cut vertex.

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