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\(n\)-semimetrics

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Publication:1582486
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DOI10.1006/eujc.1999.0384zbMath0988.54029OpenAlexW2914340152MaRDI QIDQ1582486

Ivo G. Rosenberg, Michel Marie Deza

Publication date: 22 July 2002

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/eujc.1999.0384

zbMATH Keywords

triangle inequalitysimplex inequality


Mathematics Subject Classification ID

Distance geometry (51K99) Semimetric spaces (54E25) General convexity (52A99)


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A generalization of the concept of distance based on the simplex inequality, Generalized cut and metric polytopes of graphs and simplicial complexes, Lassoing and corralling rooted phylogenetic trees, On generalized discrete metric structures, The split decomposition of a \(k\)-dissimilarity map, On multi-way metricity, minimality and diagonal planes, Small cones of \(m\)-hemimetrics, On \(d\)-dimensional \(d\)-semimetrics and simplex-type inequalities for high-dimensional sine functions, Three-way symbolic tree-maps and ultrametrics, \(n\)-way metrics, Recognizing treelike \(k\)-dissimilarities



Cites Work

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  • Three-way distances
  • Coincidence theorems in 2-metric spaces
  • Bonferroni inequalities and negative cycles in large complete signed graphs
  • 2‐metrische Räume und ihre topologische Struktur
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