Trees, tight-spans and point configurations

[1]  Katharina T. Huber,et al.  Basic Phylogenetic Combinatorics , 2011 .

[2]  Peter Winkler,et al.  Building Graphs from Colored Trees , 2010, Electron. J. Comb..

[3]  J. D. Loera,et al.  Triangulations: Structures for Algorithms and Applications , 2010 .

[4]  Vincent Moulton,et al.  The split decomposition of a k-dissimilarity map , 2010, Adv. Appl. Math..

[5]  P. Tupper,et al.  Hyperconvexity and tight-span theory for diversities , 2010, 1006.1095.

[6]  David BryantPaul,et al.  The Tight Span of a Diversity: Hyperconvexity and injective envelopes for a natural class of multi-way metrics , 2010 .

[7]  Hiroshi Hirai,et al.  On tight spans and tropical polytopes for directed distances , 2010, 1004.0415.

[8]  Katharina T. Huber,et al.  An Algorithm for Computing Cutpoints in Finite Metric Spaces , 2009, J. Classif..

[9]  Sven Herrmann,et al.  On the facets of the secondary polytope , 2009, J. Comb. Theory, Ser. A.

[10]  Sven Herrmann Splits and tight spans of convex polytopes , 2009 .

[11]  Sven Herrmann,et al.  Splitting Polytopes , 2008, 0805.0774.

[12]  Hiroshi Hirai,et al.  A Geometric Study of the Split Decomposition , 2006, Discret. Comput. Geom..

[13]  H. Hirai Characterization of the Distance between Subtrees of a Tree by the Associated Tight Span , 2006 .

[14]  Katharina T. Huber,et al.  Hereditarily Optimal Realizations of Consistent Metrics , 2006 .

[15]  C. Krattenthaler,et al.  On the Number of Fully Packed Loop Configurations with a Fixed Associated Matching , 2005, Electron. J. Comb..

[16]  B. Sturmfels,et al.  Classification of Six-Point Metrics , 2004, Electron. J. Comb..

[17]  B. Sturmfels,et al.  Tropical convexity , 2003, Documenta Mathematica.

[18]  M. Steel,et al.  Tree Representations of Non-symmetric Group-Valued Proximities , 1999 .

[19]  Marek Chrobak,et al.  Generosity helps, or an 11–competitive algorithm for three servers , 1992, SODA '92.

[20]  A. Dress,et al.  A canonical decomposition theory for metrics on a finite set , 1992 .

[21]  Marek Chrobak,et al.  A New Approach to the Server Problem , 1991, SIAM J. Discret. Math..

[22]  J. Sanders,et al.  The Stanley decomposition of the harmonic oscillator , 1988 .

[23]  A. Dress Trees, tight extensions of metric spaces, and the cohomological dimension of certain groups: A note on combinatorial properties of metric spaces , 1984 .

[24]  S. Hakimi,et al.  The distance matrix of a graph and its tree realization , 1972 .

[25]  J. Isbell Six theorems about injective metric spaces , 1964 .

[26]  K. Menger Untersuchungen über allgemeine Metrik , 1928 .

[27]  Bernd Sturmfels,et al.  Erratum for "Tropical Convexity" , 2004 .

[28]  A. Ndreas,et al.  T -theory : An Overview , 1996 .

[29]  S. Gähler Untersuchungen über verallgemeinerte m-metrische Räume. III† , 1969 .