Connected Rectilinear Graphs on Point Sets
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چکیده
Let V be a set of n points in R. We study the question whether there exists an orientation such that V is the vertex set of a connected rectilinear graph in that orientation. A graph is rectilinear if its edges are straight line segments in d pairwise perpendicular directions. We prove that at most one such orientation can be possible, up to trivial rotations of 90◦ around some axis. In addition, we present an algorithm for computing this orientation (if it exists) in O(n) time when d = 2.
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تاریخ انتشار 2008