An O(n log n)-time algorithm for the restriction scaffold assignment problem.
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.
Colannino
Justin
J
School of Computer Science, McGill University, Montréal, Québec Canada.
Damian
Mirela
M
Hurtado
Ferran
F
Iacono
John
J
Meijer
Henk
H
Ramaswami
Suneeta
S
Toussaint
Godfried
G
D000465:Algorithms; D019295:Computational Biology; D003627:Data Interpretation, Statistical; D016014:Linear Models