Publications related to 'realization' : A graph realization of a distance matrix is a graph with weighted edges such that distances in the graph correspond to the distance matrix.
 
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2008
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Andreas W. M. Dress, Katharina Huber, Jacobus Koolen and Vincent Moulton. Compatible decompositions and block realizations of finite metrics. In EJC, Vol. 29(7):1617-1633, 2008.
Keywords: abstract network, block realization, from distances, phylogenetic network, phylogeny, realization, reconstruction.
Note: http://www.ims.nus.edu.sg/preprints/2007-21.pdf.
       
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Lichen Bao and Sergey Bereg. Clustered SplitsNetworks. In COCOA08, Vol. 5165:469-478 of LNCS, springer, 2008.
Keywords: abstract network, from distances, NeighborNet, realization, reconstruction.
Note: http://dx.doi.org/10.1007/978-3-540-85097-7_44, slides available at http://www.utdallas.edu/~besp/cocoa08talk.pdf.
       
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2007
3
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Alice Lesser. Optimal and Hereditarily Optimal Realizations of Metric Spaces. PhD thesis, Uppsala University, Sweden, 2007.
Keywords: from distances, optimal realization, phylogenetic network, phylogeny, realization.
Note: http://www.diva-portal.org/diva/getDocument?urn_nbn_se_uu_diva-8297-2__fulltext.pdf.
       

1986
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Ingo Althöfer. On optimal realizations of finite metric spaces by graphs. In Discrete and Computational Geometry, Vol. 3(1):103-122, 1986.
Keywords: NP complete, optimal realization, realization.
Note: http://dx.doi.org/10.1007/BF02187901.
       
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