• CONNECTED TOTAL DOMINATION IN FUZZY GRAPHS

R. ROHINI*, C. V. R. HARINARAYANAN**

Abstract


A total dominating set D of a fuzzy  graph G is a connected total dominating set if the induced subgraph <D> is connected. The minimum cardinality of a connected total dominating set of G is the fuzzy connected total domination number gfct(G). Since any nontrivial connected dominating set is also a total dominating set. In this paper we study a connected total domination in fuzzy graphs and investigate the relationship of with other known parameters.


Keywords


Fuzzy Graph, Total Dominating set, Connected Total Dominating set, Fuzzy Connected Total Domination Number.

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