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An O(n log n)-Time Algorithm for the Restricted Scaffold Assignment

Justin Colannino·Mirela Damian·Ferran Hurtado·John Iacono·Henk Meijer·Suneeta Ramaswami·Godfried Toussaint
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Abstract

The assignment problem takes as input two finite point sets S and T and establishes a correspondence between points in S and points in T, such that each point in S maps to exactly one point in T, and each point in T maps to at least one point in S. In this paper we show that this problem has an O(n log n)-time solution, provided that the points in S and T are restricted to lie on a line (linear time, if S and T are presorted).

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Justin Colannino, Mirela Damian, Ferran Hurtado, John Iacono, Henk Meijer, Suneeta Ramaswami, Godfried Toussaint. 2005-07-05. An O(n log n)-Time Algorithm for the Restricted Scaffold Assignment. https://arxiv.org/abs/cs/0507013

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