Journal article

Fundamental polytopes of metric trees via parallel connections of matroids

  • Delucchi, Emanuele Department of Mathematics, University of Fribourg, Chemin du Musée 23, CH-1700, Fribourg, Switzerland
  • Hoessly, Linard Department of Mathematics, University of Fribourg, Chemin du Musée 23, CH-1700, Fribourg, Switzerland
    25.03.2020
Published in:
  • European Journal of Combinatorics. - 2020, vol. 87, p. 103098
English We tackle the problem of a combinatorial classification of finite metric spaces via their fundamental polytopes, as suggested by Vershik (2010).In this paper we consider a hyperplane arrangement associated to every split pseudometric and, for tree-like metrics, we study the combinatorics of its underlying matroid.- We give explicit formulas for the face numbers of fundamental polytopes and Lipschitz polytopes of all tree-like metrics.- We characterize the metric trees for which the fundamental polytope is simplicial.
Faculty
Faculté des sciences et de médecine
Department
Département de Mathématiques
Language
  • English
Classification
Mathematics
License
License undefined
Identifiers
Persistent URL
https://folia.unifr.ch/unifr/documents/308717
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