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Issue No. 02 - March/April (2011 vol. 8)
ISSN: 1545-5963
pp: 381-394
Yonghui Wu , Google Inc., Mountain View
Timothy J. Close , University of California, Riverside, Riverside
Stefano Lonardi , University of California, Riverside, Riverside
We study the problem of merging genetic maps, when the individual genetic maps are given as directed acyclic graphs. The computational problem is to build a consensus map, which is a directed graph that includes and is consistent with all (or, the vast majority of) the markers in the input maps. However, when markers in the individual maps have ordering conflicts, the resulting consensus map will contain cycles. Here, we formulate the problem of resolving cycles in the context of a parsimonious paradigm that takes into account two types of errors that may be present in the input maps, namely, local reshuffles and global displacements. The resulting combinatorial optimization problem is, in turn, expressed as an integer linear program. A fast approximation algorithm is proposed, and an additional speedup heuristic is developed. Our algorithms were implemented in a software tool named MergeMap which is freely available for academic use. An extensive set of experiments shows that MergeMap consistently outperforms JoinMap, which is the most popular tool currently available for this task, both in terms of accuracy and running time. MergeMap is available for download at
Linear programming, constrained optimization, algorithms, biology and genetics.

T. J. Close, Y. Wu and S. Lonardi, "Accurate Construction of Consensus Genetic Maps via Integer Linear Programming," in IEEE/ACM Transactions on Computational Biology and Bioinformatics, vol. 8, no. , pp. 381-394, 2010.
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