A polynomial-time algorithm to find a linkless embedding of a graph

  • Authors:
  • Hein van der Holst

  • Affiliations:
  • Department of Mathematics and Computer Science, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands

  • Venue:
  • Journal of Combinatorial Theory Series B
  • Year:
  • 2009

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Abstract

A Z-linkless embedding of a graph is an embedding in 3-space such that each pair of disjoint circuits has zero linking number. In this paper we present polynomial-time algorithms to compute a Z-linkless embedding of a graph provided the graph has one and to test whether an embedding of a graph is Z-linkless or not.