Friday, February 15, 2008
3:30 pm, MC 5158

Tutte Seminar Series
Combinatorics & Optimization
Winter 2008


Bruce Richter
University of Waterloo

2-crossing-critical graphs

A graph G is k-crossing-critical if its crossing number is at least k, but every proper subgraph has crossing number at most k-1. (We may assume minimum degree at least 3.) The only 1-crossing-critical graphs arise from Kuratowski's Theorem.
In this talk, I will describe our efforts to find all the 2-crossing-critical graphs.

Joint work with Drago Bokal and Gelasio Salazar.