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Determining the Number and Structure of Phylogenetic Invariants

✍ Scribed by Thomas R. Hagedorn

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 155 KB
Volume: 24
Category: Article
ISSN: 0196-8858
DOI: 10.1006/aama.1999.0659

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✦ Synopsis

The method of invariants is an important approach in biology for determining phylogenetic information which avoids the problems involving long branch lengths that plague other methods. In this paper, we verify the conjecture on the number of algebraic generators for the ideal of polynomial invariants. We also study rational and analytic invariants and prove several criteria concerning when it suffices to work with polynomial invariants.

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