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World Journal of Engineering Research and Technology

( An ISO 9001:2015 Certified International Journal )

An International Peer Reviewed Journal for Engineering Research and Technology

An Official Publication of Society for Advance Healthcare Research (Reg. No. : 01/01/01/31674/16)

ISSN 2454-695X

Impact Factor : 7.029

ICV : 79.45

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Abstract

REGULAR DOMATIC PARTITION IN FUZZY GRAPH

K. M. Dharmalingam* and K. Valli

ABSTRACT

Let be a fuzzy graph. A partition of is called regular fuzzy domatic partition of G if (i) for each is fuzzy regular and (ii) is a fuzzy dominating set of G.The maximum cardinality of a regular fuzzy domatic partition of G is called the regular fuzzy domatic number of G and is denoted by . In this paper, regular domatic partition,regular anti-domatic partition of a fuzzy graph are defined.Also these numbers are determined for various fuzzy graphs.Several results involving this new fuzzy regular domination parameters are established. AMS Subject classification :05C72.

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