Universal Sets of n Points for One-bend Drawings of Planar Graphs with n Vertices

This paper shows that any planar graph with n vertices can be point-set embedded with at most one bend per edge on a universal set of n points in the plane. An implication of this result is that any number of planar graphs admit a simultaneous embedding without mapping with at most one bend per edge.

• Type: Journal
• Year: 2010
• Where: DCG
• Authors: Hazel Everett, Sylvain Lazard, Giuseppe Liotta, Stephen K. Wismath
• Keywords: DCG 2010, Edge, Planar Graph, Universal Set