The convex hull of every optimal pseudolinear drawing of Kn is a triangle
نویسندگان
چکیده
A pseudolinear (respectively, rectilinear) drawing of a graph G is optimal if it has the smallest number of crossings among all pseudolinear (respectively, rectilinear) drawings of G. We show that the convex hull of every optimal pseudolinear drawing of the complete graph Kn is a triangle. This is closely related to the recently announced result that the convex hull of every optimal rectilinear drawing of Kn is a triangle.
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 38 شماره
صفحات -
تاریخ انتشار 2007