Abstract
Given a ground set L of labels and a collection of trees whose leaves are bijectively labelled by some elements of L, the Maximum Agreement Supertree problem (SMAST) is the following: find a tree T on a largest label set L′ ⊆ L that homeomorphically contains every input tree restricted to L′. The problem finds applications in several fields, e.g. phylogenetics. In this paper we focus on the parameterized complexity of this NP-hard problem. We consider different combinations of parameters for SMAST as well as particular cases, providing both FPT algorithms and intractability results.
This paper was supported by the Action incitative BIOSTIC-LR.
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Guillemot, S., Berry, V. (2007). Fixed-Parameter Tractability of the Maximum Agreement Supertree Problem . In: Ma, B., Zhang, K. (eds) Combinatorial Pattern Matching. CPM 2007. Lecture Notes in Computer Science, vol 4580. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73437-6_28
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DOI: https://doi.org/10.1007/978-3-540-73437-6_28
Publisher Name: Springer, Berlin, Heidelberg
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