A lower bound on the size of universal sets for planar graphs

Name: Work Video:
Duration: 3 min 30 s
Description: A F&amp;aacute;ry embedding of a planar graph G is an embedding of G into the plane, no edges crossing, with each edge embedded as a straight line segment. A set A C IR 2 is said to be n-universal if every n -node planar graph has a F&amp;aacute;ry embedding into A. We show that any n -universal set has size at least 1.098 n , for sufficiently large n.
Marek Chrobák; Howard Karloff
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