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Graphs and Combinatorics

, Volume 4, Issue 1, pp 43–47 | Cite as

Embedding of trees in euclidean spaces

  • H. Maehara
  • J. Reiterman
  • V. Rödl
  • E. Šiňajová
Article

Abstract

It is proved that for any treeT the vertices ofT can be placed on the surface of a sphere inR3 in such a way that adjacent vertices have distance 1 and nonadjacent vertices have distances less than 1.

Keywords

Euclidean Space Adjacent Vertex Nonadjacent Vertex 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Reiterman, J., Rödl, V., Šiňajová, E.: Geometrical embeddings of graphs. Discrete Math. (to appear)Google Scholar
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    Reiterman, J., Rödl, V., Šiňajová, E.: Embeddings of graphs in Euclidean spaces. Discrete & Computational Geometry (to appear)Google Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • H. Maehara
    • 1
  • J. Reiterman
    • 2
  • V. Rödl
    • 2
  • E. Šiňajová
    • 2
  1. 1.Ryukyu UniversityNishihara, OkinawaJapan
  2. 2.Czech Technical UniversityPraha 1Czechoslovakia

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