Abstract
We study the Betweenness problem. We are given a set of vertices and betweenness constraints. Each betweenness constraint of the form x⇝{y,z} requires that vertex x lies between vertices y and z. Our goal is to find a vertex ordering that maximizes the number of satisfied constraints. In 1995, Chor and Sudan designed an SDP algorithm that satisfies half of all constraints in a satisfiable instance. We present a simple combinatorial linear time algorithm with the same approximation guarantee.
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