Reconstructing the shape of a tree from observed dissimilarity data
Advances in Applied Mathematics
From four-taxon trees to phylogenies (preliminary report): the case of mammalian evolution
RECOMB '98 Proceedings of the second annual international conference on Computational molecular biology
A few logs suffice to build (almost) all trees (l): part I
Random Structures & Algorithms
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
Some open problems in computational molecular biology
Journal of Algorithms
Quartet Cleaning: Improved Algorithms and Simulations
ESA '99 Proceedings of the 7th Annual European Symposium on Algorithms
A fixed-parameter algorithm for minimum quartet inconsistency
Journal of Computer and System Sciences - Special issue on Parameterized computation and complexity
Quartet Based Phylogeny Reconstruction with Answer Set Programming
ICTAI '04 Proceedings of the 16th IEEE International Conference on Tools with Artificial Intelligence
A polynomial time algorithm for the minimum quartet inconsistency problem with O(n) quartet errors
Information Processing Letters
New fixed-parameter algorithms for the minimum quartet inconsistency problem
IWPEC'08 Proceedings of the 3rd international conference on Parameterized and exact computation
Combinatorial Optimization Solutions for the Maximum Quartet Consistency Problem
Fundamenta Informaticae - RCRA 2008 Experimental Evaluation of Algorithms for Solving Problems with Combinatorial Explosion
The Complexity of Finding Multiple Solutions to Betweenness and Quartet Compatibility
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
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A lookahead branch-and-bound algorithm (LBnB) is proposed for solving the Maximum Quartet Consistency (MQC) Problem where the input is a complete set of quartets on the taxa and the goal is to construct a phylogeny that satisfies the maximum number of given quartets. It integrates a number of previous efforts on exact algorithms, heuristics, and approximation algorithms for the NP-hard MQC problem, and a few improved search techniques, especially a lookahead scheme, to solve the problem optimally. The theoretical running time analysis of the LBnB algorithm is provided, and an extensive simulation study has been well designed to compare the algorithm to previous existing exact algorithms and a best heuristic Hypercleaning. The experimental results on both synthetic and real datasets show that LBnB outperformed other exact algorithms, and it was competitive to Hypercleaning on many datasets.