Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Thursday, August 16, 2012, 12:15 pm

Duration: 30 minutes

Location: HG D5.2

Speaker: Otfried Cheong (Korea Advanced Institute of Science and Technology (KAIST), South Korea)

Fan-Crossing Free Graphs and other edge crossing properties

A graph embedded in the plane has a fan crossing if some edge crosses two edges that share an endpoint. We prove that a graph without fan crossings on n vertices has at most 4n-8 edges, and give generalizations to various other forbidden patterns for the set of edges crossed by an edge.

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