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A fixed box theorem for the cartesian product of graphs and metric spaces

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Publication:1363705
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DOI10.1016/S0012-365X(96)00006-4zbMath0879.05067MaRDI QIDQ1363705

Claude Tardif

Publication date: 12 January 1998

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


zbMATH Keywords

metric spacescubescartesian productHamming graphs


Mathematics Subject Classification ID

Graph theory (05C99)


Related Items (3)

The algebra of metric betweenness. I: Subdirect representation and retraction ⋮ On the natural imprint function of a graph ⋮ A local prime factor decomposition algorithm



Cites Work

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  • Prefibers and the cartesian product of metric spaces
  • Graph multiplication
  • Gated sets in metric spaces
  • On the Helly property working as a compactness criterion on graphs
  • A fixed cube theorem for median graphs
  • Invariant Hamming graphs in infinite quasi-median graphs
  • The retracts of Hamming graphs
  • Finite invariant simplices in infinite graphs
  • Independence ratios of graph powers
  • Fixed elements of infinite trees
  • On the ultimate independence ratio of a graph
  • Ternary spaces, media, and Chebyshev sets
  • Retracts of hypercubes
  • Fixed-edge theorem for graphs with loops
  • Median Algebra
  • On compact median graphs


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