• EXTERNAL EQUITABLE DOMINATION IN FUZZY GRAPHS

M. RANI*, K. M. DHARMALINGAM

Abstract


Let be a fuzzy graph. A subset of is called externally fuzzy equitable dominating set of if is a dominating set of and for every such that . for some . An externally fuzzy equitable dominating set is also called complementary fuzzy dominating set. The minimum cardinality of a minimal externally fuzzy equitable dominating set of is called externally fuzzy equitable domination number of and is denoted by . In this paper we introduce the concept of externally fuzzy equitable dominating set. Also we obtain some interesting result for this new parameter in external equitable domination in fuzzy graphs.


Keywords


External fuzzy equitable dominating set, minimal externally fuzzy equitable dominating set

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