THE HUB NUMBER OF A FUZZY GRAPH

THE HUB NUMBER OF A FUZZY GRAPH

Haifa A. A., M. M. Q. Shubatah

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Abstract

In this paper, we introduced the concepts of hub number in fuzzy graph and is denoted by h(G): The hub number of fuzzy graph G is the minimum fuzzy cardinality among all minimal fuzzy hub sets . We determine the hub number h(G) for several classes of fuzzy graph and obtain Nordhaus-Gaddum type results for this parameter. Further, some bounds of h(G) are investigated. Also the relations between h(G) and other known parameters in fuzzy graphs are investigated.

Keywords

Graphs, Fuzzy graph, Hub number in graph and Hub number in fuzzy graph.