Parsimonious cluster systems |
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Authors: | François Brucker Alain Gély |
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Institution: | 1. Laboratoire LIF, UMR 6166, Centre de Mathématiques et Informatique, 39 rue Joliot-Curie, 13453, Marseille Cedex 13, France 2. LITA, Paul Verlaine University, Ile du Saulcy, BP 80794, 57012, Metz Cedex, France
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Abstract: | We introduce in this paper a new clustering structure, parsimonious cluster systems, which generalizes phylogenetic trees. We characterize it as the set of hypertrees stable under restriction and prove that this set is in bijection with a known dissimilarity model: chordal quasi-ultrametrics. We then present one possible way to graphically represent elements of this model. |
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