A Simple Research of Divisor Graphs
نویسندگان
چکیده
Let S be a finite, nonempty set of positive integers. Then, the divisor graph ) (S D of S has S as its vertex set, and vertices i and j are adjacent if and only if either j i or i j . This paper investigates the vertex-chromatic number, the clique number, the clique cover number, and the independence number of ]) ([n D and its complement, where } , 1 : { ] [ Ν ∈ ≤ ≤ = n n i i n . Besides, we discuss the perfect property on this kind of graphs. In the last section, we also give some notions about the bandwidth of the divisor graphs.
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تاریخ انتشار 2012