Publications related to 'regular network' : A phylogenetic network is regular if it is a Hasse diagram with only one node of indegree 0. This is equivalent to the following conditions being true:
- c(v), the cluster set of all leaves that can be reached from node v, is different for each v,
- the cluster set c(x) is included into c(y) if and only if node x can be reached from node y,
- for any two nodes x and y, if there exists two distinct connected path from x to y then each contains at least two arcs.

 
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2015
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Maxime Morgado. Propriétés structurelles et relations des classes de réseaux phylogénétiques. Master's thesis, ENS Cachan, 2015.  
Keywords: compressed network, distinct-cluster network, explicit network, galled network, galled tree, level k phylogenetic network, nested network, normal network, phylogenetic network, phylogeny, regular network, spread, tree child network, tree containment, tree sibling network, tree-based network, unicyclic network.
       

2010
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Stephen J. Willson. Regular Networks Can Be Uniquely Constructed from Their Trees. In TCBB, Vol. 8(3):785-796, 2010.  
Keywords: explicit network, from rooted trees, phylogenetic network, phylogeny, reconstruction, regular network.
Note: http://www.public.iastate.edu/~swillson/RegularNetsFromTrees5.pdf.
       
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Stephen J. Willson. Properties of normal phylogenetic networks. In BMB, Vol. 72(2):340-358, 2010.  
Keywords: normal network, phylogenetic network, phylogeny, regular network.
Note: http://www.public.iastate.edu/~swillson/RestrictionsOnNetworkspap9.pdf, slides available at http://www.newton.cam.ac.uk/webseminars/pg+ws/2007/plg/plgw01/0904/willson/.
       
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Leo van Iersel, Charles Semple and Mike Steel. Locating a tree in a phylogenetic network. In IPL, Vol. 110(23), 2010.  
Keywords: cluster containment, explicit network, from network, level k phylogenetic network, normal network, NP complete, phylogenetic network, polynomial, regular network, time consistent network, tree child network, tree containment, tree sibling network.
Note: http://arxiv.org/abs/1006.3122.
       
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2008
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Miguel Arenas, Gabriel Valiente and David Posada. Characterization of reticulate networks based on the coalescent with recombination. In MBE, Vol. 25(12):2517-2520, 2008.  
Keywords: coalescent, evaluation, explicit network, galled tree, phylogenetic network, phylogeny, Program Recodon, regular network, simulation, tree child network, tree sibling network.
Note: http://dx.doi.org/10.1093/molbev/msn219.
       
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2006
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Mihaela Baroni and Mike Steel. Accumulation Phylogenies. In ACOM, Vol. 10(1):19-30, 2006.  
Keywords: abstract network, from clusters, from distances, phylogenetic network, phylogeny, polynomial, reconstruction, regular network.
Note: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.137.1960.
       
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2004
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Mihaela Baroni, Charles Semple and Mike Steel. A framework for representing reticulate evolution. In ACOM, Vol. 8:398-401, 2004.  
Keywords: explicit network, from clusters, hybridization, minimum number, phylogenetic network, phylogeny, reconstruction, regular network, SPR distance.
Note: http://www.math.canterbury.ac.nz/~c.semple/papers/BSS04.pdf.
       
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Mihaela Baroni. Hybrid phylogenies : a graph-based approach to represent reticulate evolution. PhD thesis, University of Canterbury, New Zealand, 2004.  
Keywords: explicit network, from rooted trees, galled tree, hybridization, minimum number, phylogenetic network, phylogeny, reconstruction, regular network.
Note: http://ir.canterbury.ac.nz/bitstream/10092/4803/1/baroni_thesis.pdf.