Not all planar graphs are in PURE-4-DIR

Authors

  • Daniel Gonçalves

DOI:

https://doi.org/10.7155/jgaa.00533

Keywords:

intersection graphs , planar graphs , segments

Abstract

We prove that some planar graphs are not intersection graphs of segments if only four slopes are allowed for the segments, and if parallel segments do not intersect. This refutes a conjecture of D. West [D. West, SIAM J. Discrete Math. Newsletter, 1991].

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Published

2020-03-01

How to Cite

Gonçalves, D. (2020). Not all planar graphs are in PURE-4-DIR. Journal of Graph Algorithms and Applications, 24(3), 293–301. https://doi.org/10.7155/jgaa.00533

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