Drawing outerplanar graphs

نویسندگان

  • Noga Alon
  • Ohad N. Feldheim
چکیده

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, Dujmovic, Morin and Wood. The proof combines (elementary) geometric, combinatorial, algebraic and probabilistic arguments.

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تاریخ انتشار 2013