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We extend known results regarding the maximum rectilinear crossing number of the cycle graph (C n) and the complete graph (K n) to the class of general d-regular graphs R n,d. We present the generalized star drawings of the d-regular graphs S n,d of order n where n + d ≡ 1 (mod 2) and prove that they maximize the maximum rectilinear crossing numbers. A… (More)

We compute the Orchard crossing number, which is defined in a similar way to the rectilinear crossing number, for the complete bipartite graphs K n,n .

We compute the Orchard crossing number, which is defined in a similar way to the rectilinear crossing number, for the complete bipartite graphs K n,n .

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.

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