Publications related to 'weak hierarchy' : A weak hierarchy is a set of clusters such that for any three clusters C1, C2 and C3, the intersection of the three equals the intersection of two of them.
 
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2012
1
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Philippe Gambette and Katharina Huber. On Encodings of Phylogenetic Networks of Bounded Level. In JOMB, Vol. 65(1):157-180, 2012.  
Keywords: characterization, explicit network, from clusters, from rooted trees, from triplets, galled tree, identifiability, level k phylogenetic network, phylogenetic network, uniqueness, weak hierarchy.
Note: http://hal.archives-ouvertes.fr/hal-00609130/en/.
       
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2010
2
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Philippe Gambette. Méthodes combinatoires de reconstruction de réseaux phylogénétiques. PhD thesis, Université Montpellier 2, France, 2010.  
Keywords: abstract network, characterization, circular split system, explicit network, FPT, from clusters, from triplets, integer linear programming, level k phylogenetic network, NP complete, phylogenetic network, phylogeny, Program Dendroscope, pyramid, reconstruction, split network, weak hierarchy.
Note: http://tel.archives-ouvertes.fr/tel-00608342/en/.
       

2009
3
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Stefan Grünewald, Katharina Huber, Vincent Moulton, Charles Semple and Andreas Spillner. Characterizing weak compatibility in terms of weighted quartets. In Advances in Applied Mathematics, Vol. 42(3):329-341, 2009.  
Keywords: abstract network, characterization, from quartets, split network, weak hierarchy.
Note: http://www.math.canterbury.ac.nz/~c.semple/papers/GHMSS08.pdf, slides at http://www.lirmm.fr/miep08/slides/12_02_huber.pdf.
       

2006
4
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Vladimir Makarenkov, Dmytro Kevorkov and Pierre Legendre. Phylogenetic Network Construction Approaches. In Applied Mycology and Biotechnology, Vol. 6:61-97, 2006.  
Keywords: from distances, hybridization, lateral gene transfer, median network, NeighborNet, netting, Program Arlequin, Program Network, Program Pyramids, Program Reticlad, Program SplitsTree, Program T REX, Program TCS, Program WeakHierarchies, pyramid, reticulogram, split, split decomposition, split network, survey, weak hierarchy.
Note: http://www.labunix.uqam.ca/~makarenv/makarenv/MKL_article.pdf.
       

2000
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François-Joseph Lapointe. How to account for reticulation events in phylogenetic analysis: A review of distance-based methods. In Journal of Classification, Vol. 17:175-184, 2000.  
Keywords: abstract network, evaluation, from distances, phylogenetic network, Program Pyramids, Program SplitsTree, Program T REX, pyramid, reconstruction, reticulogram, split network, survey, weak hierarchy.
Note: http://dx.doi.org/10.1007/s003570000016.
       

1992
6
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Hans-Jürgen Bandelt and Andreas W. M. Dress. A canonical decomposition theory for metrics on a finite set. In Advances in Mathematics, Vol. 92(1):47-105, 1992.  
Keywords: abstract network, circular split system, from distances, split, split decomposition, split network, weak hierarchy, weakly compatible.
       
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Hans-Jürgen Bandelt. Four-point characterization of the dissimilarity functions obtained from indexed closed weak hierarchies. 1992.  
Keywords: characterization, clustering, from distances, pyramid, weak hierarchy.
Note: Mathematisches Seminar, Universität Hamburg.
       

1989
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Hans-Jürgen Bandelt and Andreas W. M. Dress. Weak hierarchies associated with similarity measures: an additive clustering technique. In BMB, Vol. 51:113-166, 1989.  
Keywords: abstract network, clustering, from distances, from trees, phylogenetic network, phylogeny, Program WeakHierarchies, reconstruction, weak hierarchy.
Note: http://dx.doi.org/10.1007/BF02458841.
       
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