Counting consistent phylogenetic trees is #P-complete
Copyright policy )Counting consistent phylogenetic trees is #P-complete
The paper studies the complexity of counting rooted phylogenetic (super)trees consistent to a set of (possibly overlapping) rooted phylogenetic trees, and shows that it (similarly to two other related problems) is \#P-complete. The proof works through reducing the problem \(\#\)-\texttt{MON-2-SAT} to the problem at hand.
- Durham University United Kingdom
- New College United Kingdom
- University of Canterbury New Zealand
- University of Oxford United Kingdom
- New College of Florida United States
#P complete, Fields of Research::270000 Biological Sciences::270700 Ecology and Evolution::270799 Ecology and evolution not elsewhere classified, Applied Mathematics, Fields of Research::230000 Mathematical Sciences::239900 Other Mathematical Sciences::239901 Biological Mathematics, \(\#\)-\texttt{MON-2-SAT} problem, Complexity, Fields of Research::230000 Mathematical Sciences::230100 Mathematics::230103 Rings and algebras, \#P complete counting, Trees, Problems related to evolution, NP-complete decision problem, Phylogenetic tree
#P complete, Fields of Research::270000 Biological Sciences::270700 Ecology and Evolution::270799 Ecology and evolution not elsewhere classified, Applied Mathematics, Fields of Research::230000 Mathematical Sciences::239900 Other Mathematical Sciences::239901 Biological Mathematics, \(\#\)-\texttt{MON-2-SAT} problem, Complexity, Fields of Research::230000 Mathematical Sciences::230100 Mathematics::230103 Rings and algebras, \#P complete counting, Trees, Problems related to evolution, NP-complete decision problem, Phylogenetic tree
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).4 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!