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Note on induced subgraphs of the unit distance graph \(E^ n\)

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Publication:1106853
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DOI10.1007/BF02187712zbMath0652.05019MaRDI QIDQ1106853

Hiroshi Maehara

Publication date: 1989

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131061


zbMATH Keywords

induced subgraphgraph embeddingunit distance graphEuclidean n-spacefinite bipartite graph


Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graph theory (05C99)


Related Items (7)

Algebraic Distance Graphs and Rigidity ⋮ CARTESIAN PRODUCT PARTITIONING OF MULTI-DIMENSIONAL REACHABLE STATE SPACES ⋮ Two notions of unit distance graphs ⋮ On the Computational Complexity of Degenerate Unit Distance Representations of Graphs ⋮ Products of unit distance graphs ⋮ Simplices with given 2-face areas ⋮ On the dimension to represent a graph by a unit distance graph



Cites Work

  • Unnamed Item
  • On the Euclidean dimension of a wheel
  • On the Euclidean dimension of a complete multipartite graph
  • Helly-type theorems for spheres
  • Intersection theorems with geometric consequences
  • Geometrical embeddings of graphs
  • On the dimension of a graph


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