2011
DOI: 10.1007/978-3-642-21260-4_15
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The Kernel of Maximum Agreement Subtrees

Abstract: Abstract.A Maximum Agreement SubTree (MAST) is a largest subtree common to a set of trees and serves as a summary of common substructure in the trees. A single MAST can be misleading, however, since there can be an exponential number of MASTs, and two MASTs for the same tree set do not even necessarily share any leaves. In this paper we introduce the notion of the Kernel Agreement SubTree (KAST), which is the summary of the common substructure in all MASTs, and show that it can be calculated in polynomial time… Show more

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Cited by 6 publications
(11 citation statements)
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“…4 neither the MRT nor any of the MASTs gives information about relationships among species s1 − s4, but the FST does. In fact, by itself, an MAST can be misleading [77]. -FSTs are useful for solving MAST-related problems.…”
Section: Maximum Agreement Subtrees and Majority Rule Treesmentioning
confidence: 99%
See 2 more Smart Citations
“…4 neither the MRT nor any of the MASTs gives information about relationships among species s1 − s4, but the FST does. In fact, by itself, an MAST can be misleading [77]. -FSTs are useful for solving MAST-related problems.…”
Section: Maximum Agreement Subtrees and Majority Rule Treesmentioning
confidence: 99%
“…-FSTs are useful for solving MAST-related problems. These include finding a maximum compatible subtree [31], finding a maximum agreement supertree [35], and computing the kernel of maximum agreement subtrees [77]. -FSTs can be used to mine subtree patterns on collections of trees having leaf sets that are partially overlapping but not identical.…”
Section: Maximum Agreement Subtrees and Majority Rule Treesmentioning
confidence: 99%
See 1 more Smart Citation
“…(Note the parallels between the use of majority clusters and the choice of f(]12,1 for MFSTs.) The MRT, though linear-time computable, is very sensitive to the presence of “rogue” taxa; that is, taxa whose positions vary widely within the input collection [25,26]. MFSTs are less sensitive to this phenomenon, because the MRT by definition must contain the entire leaf set (including the rogue taxa), whereas MFSTs have no such restriction (see Figure 3).…”
Section: Introductionmentioning
confidence: 99%
“…MFSTs are less sensitive to this phenomenon, because the MRT by definition must contain the entire leaf set (including the rogue taxa), whereas MFSTs have no such restriction (see Figure 3). The fact that MASTs are less sensitive to rogue taxa than MRTs has been well-acknowledged in the literature [25,27,28]. MFSTs, which include MASTs as a special case, are even more likely to reveal informative common substructures in the presence of rogue taxa.…”
Section: Introductionmentioning
confidence: 99%