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An O(n log n)-time algorithm for the restriction scaffold assignment problem.

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

The restriction scaffold assignment problem takes as input two finite point sets S and T (with S containing more points than 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. An algorithm is presented that finds a minimum-cost solution for this problem in O(n log n) time, provided that the points in S and T are restricted to lie on a line and the cost function delta is the L(1) metric. This algorithm runs in linear time, if S and T are presorted. This improves the previously best-known O(n (2))-time algorithm for this problem.

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BibTeXRIS

Justin Colannino, Mirela Damian, Ferran Hurtado, John Iacono, Henk Meijer, Suneeta Ramaswami, Godfried Toussaint. 2006. An O(n log n)-time algorithm for the restriction scaffold assignment problem.. https://doi.org/10.1089/cmb.2006.13.979

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