@inproceedings{d8088e8e608b405c8756faba4643ab38,
title = "Tree reconstruction from partial orders",
abstract = "The problem of constructing trees given a matrix of interleaf distances is motivated by applications in computational evolutionary biology and linguistics. The general problem is to find an edge-weighted tree which most closely approximates (under some norm) the distance matrix. Although the construction problem is easy when the tree exactly fits the distance matrix, optimization problems under all popular criteria are either known or conjectured to be NP-complete. In this paper we consider the related problem where we are given a partial order on the pairwise distances, and wish to construct (if possible) an edge-weighted tree realizing the partial order. In particular we are interested in partial orders which arise from experiments on triples of species. We will show that the consistency problem is NP-hard in general, but that for certain special cases the construction problem can be solved in polynomial time.",
author = "Sampath Kannan and Tandy Warnow",
year = "1993",
doi = "10.1007/3-540-57155-8_265",
language = "English (US)",
isbn = "9783540571551",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer-Verlag Berlin Heidelberg",
pages = "397--408",
editor = "Frank Dehne and Jorg-Rudiger Sack and Nicola Santoro and Sue Whitesides",
booktitle = "Algorithms and Data Structures - 3rd Workshop, WADS 1993, Proceedings",
note = "3rd Workshop on Algorithms and Data Structures, WADS 1993 ; Conference date: 11-08-1993 Through 13-08-1993",
}