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Pseudo-median graphs are join spaces

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Publication:686278
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DOI10.1016/0012-365X(92)90275-KzbMath0780.05049MaRDI QIDQ686278

Hans-Jürgen Bandelt, Henry Martyn Mulder

Publication date: 14 October 1993

Published in: Discrete Mathematics (Search for Journal in Brave)


zbMATH Keywords

Euclidean spacemedian graphsgeodesic intervalsjoint spacespseudo- median graphs


Mathematics Subject Classification ID

Graph theory (05C99)


Related Items (4)

On bipartite graphs whose interval space is a closed join space ⋮ First-order logic axiomatization of metric graph theory ⋮ Chordal graphs and join spaces ⋮ \(n\)-ary Cartesian composition of automata



Cites Work

  • Pseudo-modular graphs
  • Pseudo-median graphs: Decomposition via amalgamation and Cartesian multiplication
  • The structure of median graphs
  • Median graphs and Helly hypergraphs
  • Median algebras
  • Generalization of the theorems of Radon, Helly, and Caratheodory
  • Axiomatic convexity theory and relationships between the Carathéodory, Helly, and Radon numbers
  • A general set-separation theorem
  • Regular pseudo-median graphs
  • Graphs with intrinsic s3 convexities
  • Binary Convexities and Distributive Lattices
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