Abstract
Generalizations of the strict and loose consensus methods to the supertree setting, recently introduced by McMorris and Wilkinson, are studied. The supertrees these methods produce are conservative in the sense that they only preserve information (in the form of splits) that is supported by at least one the input trees and that is not contradicted by any of the input trees. Alternative, equivalent, formulations of these supertrees are developed. These are used to prove the NP-completeness of the underlying optimization problems and to give exact integer linear programming solutions. For larger data sets, a divide and conquer approach is adopted, based on the structural properties of these supertrees. Experiments show that it is feasible to solve problems with several hundred taxa and several hundred trees in a reasonable amount of time.
This work was supported in part by the National Science Foundation under grants DEB-0829674 and CCF-1017189.
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Dong, J., Fernández-Baca, D. (2011). Constructing Large Conservative Supertrees. In: Przytycka, T.M., Sagot, MF. (eds) Algorithms in Bioinformatics. WABI 2011. Lecture Notes in Computer Science(), vol 6833. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23038-7_6
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