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Finite invariant simplices in infinite graphs

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Publication:1321644
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DOI10.1007/BF01876637zbMath0795.05136MaRDI QIDQ1321644

V. Pereyra

Publication date: 23 May 1994

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)


zbMATH Keywords

automorphismsimplexcontractiblefinitely ball-Helly


Mathematics Subject Classification ID

Graph theory (05C99)


Related Items (11)

Fixed finite subgraph theorems in infinite weakly modular graphs ⋮ A Helly theorem for geodesic convexity in strongly dismantlable graphs ⋮ A fixed box theorem for the cartesian product of graphs and metric spaces ⋮ Stable graphs for a family of endomorphisms ⋮ Invariant Hamming graphs in infinite quasi-median graphs ⋮ Bucolic complexes ⋮ Quadric complexes ⋮ Realisation and dismantlability ⋮ DISMANTLABLE CLASSIFYING SPACE FOR THE FAMILY OF PARABOLIC SUBGROUPS OF A RELATIVELY HYPERBOLIC GROUP ⋮ Algorithms for the fixed point property ⋮ Coning-off CAT(0) cube complexes



Cites Work

  • Unnamed Item
  • On the Helly property working as a compactness criterion on graphs
  • Fixed elements of infinite trees
  • Finite invariant sets in infinite graphs
  • Automorphisms and endomorphisms of infinite locally finite graphs
  • Fixed-edge theorem for graphs with loops


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