Drawing outerplanar graphs using three edge lengths

Noga Alon, Ohad N. Feldheim*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


It is shown that for any outerplanar graph G there is a one to one mapping of the vertices of G to the plane, so that the number of distinct distances between pairs of connected vertices is at most three. This settles a problem of Carmi, Dujmović, Morin and Wood. The proof combines (elementary) geometric, combinatorial, algebraic and probabilistic arguments.

Original languageAmerican English
Pages (from-to)260-267
Number of pages8
JournalComputational Geometry: Theory and Applications
Issue number3
StatePublished - Mar 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
©2014 Elsevier B.V. All rights reserved.


  • Degenerate drawing of a graph
  • Distance number of a graph
  • Outerplanar graphs


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