The complexity of reconstructing trees from qualitative characters and subtrees

From MaRDI portal
Publication:1203103

DOI10.1007/BF02618470zbMath0766.92002MaRDI QIDQ1203103

Mike A. Steel

Publication date: 4 February 1993

Published in: Journal of Classification (Search for Journal in Brave)




Related Items

On the challenge of reconstructing level-1 phylogenetic networks from triplets and clustersConsistency and inconsistency of consensus methods for inferring species trees from gene trees in the presence of ancestral population structureCompatibility of unrooted phylogenetic trees is FPTParameterized enumeration, transversals, and imperfect phylogeny reconstructionA fixed-parameter algorithm for minimum quartet inconsistencyCounting consistent phylogenetic trees is \#P-completeA polynomial time algorithm for the minimum quartet inconsistency problem with \(O(n)\) quartet errorsTree reconstruction from partial ordersClosure operations in phylogeneticsReconstructing phylogenetic trees from multipartite quartet systemsCompatibility, incompatibility, tree-width, and forbidden phylogenetic minorsA robust model for finding optimal evolutionary treeEfficient approximation of convex recoloringsTrees, taxonomy, and strongly compatible multi-state charactersInferring a level-1 phylogenetic network from a dense set of rooted tripletsOn the Generalised Character Compatibility Problem for Non-branching Character TreesConstructing big trees from short sequencesEfficient FPT algorithms for (strict) compatibility of unrooted phylogenetic treesReconstruction of rooted trees from subtreesThe Approximability of Maximum Rooted Triplets Consistency with Fan Triplets and Forbidden TripletsKernel and fast algorithm for dense triplet inconsistencyOptimizing tree and character compatibility across several phylogenetic treesMinimum Average Distance Clique TreesThe size of the character state space affects the occurrence and detection of homoplasy: modelling the probability of incompatibility for unordered phylogenetic charactersA high quartet distance constructionOn the quartet distance given partial informationNew Fixed-Parameter Algorithms for the Minimum Quartet Inconsistency ProblemA fast quartet tree heuristic for hierarchical clusteringConvex Characters, Algorithms, and MatchingsPhylogeny- and parsimony-based haplotype inference with constraintsImproved algorithms for maximum agreement and compatible supertreesGraph triangulations and the compatibility of unrooted phylogenetic treesSolving infinite-domain CSPs using the patchwork propertyAlgorithms and complexity of sandwich problems in graphs (extended abstract)Influence of tree topology restrictions on the complexity of haplotyping with missing dataTHE REDUCTS OF THE HOMOGENEOUS BINARY BRANCHING C-RELATIONA simple characterization of the minimal obstruction sets for three-state perfect phylogeniesNew fixed-parameter algorithms for the minimum quartet inconsistency problem`Lassoing' a phylogenetic tree. I: Basic properties, shellings, and coversA few logs suffice to build (almost) all trees. IIA property tester for tree-likeness of quartet topologiesTesting consistency of quartet topologies: a parameterized approachThe difficulty of constructing a leaf-labelled tree including or avoiding given subtreesLearning Minimal Latent Directed Information PolytreesMathematical approaches to comparative linguisticsRecovering trees from well-separated multi-state characters.Slim sets of binary treesIdentifying the rooted species tree from the distribution of unrooted gene trees under the coalescentGroves of phylogenetic treesConvex recolorings of strings and trees: Definitions, hardness results and algorithmsThe approximability of maximum rooted triplets consistency with fan triplets and forbidden tripletsReconstructing a phylogenetic level-1 network from quartetsOn the weighted quartet consensus problemUnique Perfect Phylogeny Is NP-HardIntervalizing k-colored graphsThe matroid structure of representative triple sets and triple-closure computationOn compatibility and incompatibility of collections of unrooted phylogenetic treesTree reconstruction from multi-state charactersRecovering a phylogenetic tree using pairwise closure operationsApproximability of clausal constraintsPeeling phylogenetic `oranges'Building species trees from larger parts of phylogenomic databasesNew results on optimizing rooted triplets consistencyFixed-Parameter Algorithms for Finding Agreement SupertreesImproved metaheuristics for the quartet method of hierarchical clusteringInteger linear programming as a tool for constructing trees from quartet dataUnnamed ItemFast compatibility testing for rooted phylogenetic treesQuarnet inference rules for level-1 networksAn exact algorithm for the minimum quartet tree cost problemA colored graph approach to perfect phylogeny with persistent charactersMinimizing phylogenetic number to find good evolutionary treesA note on convex characters, Fibonacci numbers and exponential-time algorithmsOn the Maximum Quartet Distance between Phylogenetic TreesRealization problems on reachability sequencesA Linear Time Approximation Scheme for Maximum Quartet Consistency on Sparse Sampled InputsReconstructing minimal rooted trees.Combinatorial Scoring of Phylogenetic NetworksA Tractable Class of Binary VCSPs via M-Convex IntersectionCombining tree partitioning, precedence, and incomparability constraintsConsistency of the QNet algorithm for generating planar split networks from weighted quartetsTree compatibility, incomplete directed perfect phylogeny, and dynamic graph connectivity: an experimental studyDetermining the consistency of partial tree descriptionsChoosing the tree which actually best explains the data: another look at the bootstrap in phylogenetic reconstruction.On the approximability of the Steiner tree problem in phylogenyInferring evolutionary trees with strong combinatorial evidenceThe hardness of perfect phylogeny, feasible register assignment and other problems on thin colored graphsA supertree method for rooted treesCharacterizing phylogenetically decisive taxon coverageIdentifying phylogenetic treesPatching up \(X\)-treesMatrix sandwich problemsExponentially many supertreesMinimum tree cost quartet puzzling



Cites Work