### Abstract

Constructing evolutionary trees for species sets is a fundamental problem in biology. Unfortunately, there is no single agreed upon method for this task, and many methods are in use. Current practice dictates that trees be constructed using different methods and that the resulting trees then be compared for consensus. It has become necessary to automate this process as the number of species under consideration has grown. We study the Unrooted Maximum Agreement Subtree Problem (UMAST) and its rooted variant (RMAST). The UMAST problem is as follows: given a set A and two trees T_{0} and T_{1} leaf-labeled by the elements of A, find a maximum cardinality subset B of A such that the restrictions of T_{0} and T_{1} to B are topologically isomorphic. Our main result is an O(n^{2+o(1)}) time algorithm for the UMAST problem. As a side-effect we will derive an O(n^{2}) time algorithm for the RMAST problem. The previous best algorithm for both these problems has running time O(n^{4.5+o(1)}).

Original language | English (US) |
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Title of host publication | Proceedings of the Annual ACM SIAM Symposium on Discrete Algorithms |

Publisher | Publ by ACM |

Pages | 481-488 |

Number of pages | 8 |

ISBN (Print) | 0898713293 |

State | Published - Jan 1 1994 |

Externally published | Yes |

Event | Proceedings of the Fifth Annual SIAM Symposium on Discrete Algorithms - Arlington, VA, USA Duration: Jan 23 1994 → Jan 25 1994 |

### Other

Other | Proceedings of the Fifth Annual SIAM Symposium on Discrete Algorithms |
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City | Arlington, VA, USA |

Period | 1/23/94 → 1/25/94 |

### All Science Journal Classification (ASJC) codes

- Software
- Mathematics(all)

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## Cite this

*Proceedings of the Annual ACM SIAM Symposium on Discrete Algorithms*(pp. 481-488). Publ by ACM.