Preprint 32/2005

Detecting Phylogenetic Footprint Clusters by Optimizing Barbeques

Axel Mosig, Türker Biyikoglu, Sonja J. Prohaska, and Peter F. Stadler

Contact the author: Please use for correspondence this email.
Submission date: 18. Apr. 2005
Pages: 12
Bibtex
Keywords and phrases: phylogenetic footprint clusters, np-complete, best barbeque problem
Download full preprint: PDF (252 kB), PS ziped (233 kB)

Abstract:
Taking a geometric view on a problem occurring in the context of phylogenetic footprinting, we study the so-called Best Barbeque Problem. The Best Barbeque Problem asks for simultaneously stabbing a maximum number of differently colored intervals from K arrangements of colored intervals. This geometric problem leads to a combinatorial optimization problem, a decision version of which is shown to be NP-complete. Due to its relevance in biological applications, we propose two branch-and-bound algorithms to detect footprint clusters in some real world instances of phylogenetic footprints. Finally, we point out other geometric and combinatorial scenarios where optimizing barbeques might be of practical relevance.

07.06.2018, 02:11