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SUMMARY:Quartets and unrooted phylogenetic networks - Gambette\, P (la Mdi
 terrane (Aix-Marseille II))
DTSTART:20110621T090000Z
DTEND:20110621T092000Z
UID:TALK31813@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Phylogenetic networks were introduced to describe evolution in
  the presence of exchanges of genetic material between coexisting species 
 or individuals. Split networks in particular were introduced as a special 
 kind of abstract networks to visualize conflicts between phylogenetic tre
 es which may correspond to such exchanges. More recently\, methods were de
 signed to reconstruct explicit phylogenetic networks (whose nodes can be i
 nterpreted as biological events) from triplet data. \n\nIn this presentati
 on\, we link abstract and explicit networks through their combinatorial pr
 operties\, by introducing the unrooted analogue of level-k networks. In pa
 rticular\, we give an equivalence theorem between circular split systems a
 nd unrooted level-1 networks. We also show how to adapt to quartets some e
 xisting results on triplets\, in order to reconstruct unrooted level-k phy
 logenetic networks. These results give an interesting perspective on the c
 ombinatorics of phylogenetic networks and also raise algorithmic and combi
 natorial questions.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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