On the Orchard crossing number of prisms, ladders and other related graphs
نویسندگان
چکیده
This paper deals with the Orchard crossing number of some families of graphs which are based on cycles. These include disjoint cycles, cycles which share a vertex and cycles which share an edge. Specifically, we focus on the prism and ladder graphs.
منابع مشابه
On the Orchard Crossing Number of the Complete Bipartite Graphs Kn,n
We compute the Orchard crossing number, which is defined in a similar way to the rectilinear crossing number, for the complete bipartite graphs Kn,n.
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We introduce the Orchard crossing number, which is defined in a similar way to the well-known rectilinear crossing number. We compute the Orchard crossing number for some simple families of graphs. We also prove some properties of this crossing number. Moreover, we define a variant of this crossing number which is tightly connected to the rectilinear crossing number, and compute it for some sim...
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Let G be an abstract graph. Motivated by the Orchard relation, introduced in [3, 4], we have defined the Orchard crossing number of G [5], in a similar way to the well-known rectilinear crossing number of an abstract graph G (denoted by cr(G), see [1, 8]). A general reference for crossing numbers can be [6]. The Orchard crossing number is interesting for several reasons. First, it is based on t...
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عنوان ژورنال:
- CoRR
دوره abs/1111.5412 شماره
صفحات -
تاریخ انتشار 2011