Tutte seminar - Bruce RichterExport this event to calendar

Friday, February 7, 2014 — 3:30 PM EST

Recent Progress on Tutte's 3-flow Conjecture

Speaker: Bruce Richter
Affiliation: University of Waterloo
Room: Mathematics and Computer Building (MC) 5158

Abstract: 

Tutte's 3-flow conjecture asserts that every graph with no 1- or 3-edge-cut has an orientation so that, at every vertex, the number of arcs pointing in is the same (modulo 3) as the number of arcs pointing out. It is known that it suffices to prove that every 5-edge-connected graph has such an orientation.

Recently, Thomassen made a breakthrough, proving this for 8-edge-connected graphs. There is now a very simple proof that it holds for 6-edge-connected graphs. Indeed, this is proved by showing that, modulo 3, prescribing the individual out-degrees at every vertex (to sum to |E(G)| modulo 3) is achievable in 6-edge-connected graphs.

With Thomassen and Younger, we proved that this stronger result also holds for 5-edge-connected planar graphs. Both proofs will be outlined in this talk.

Location 
MC - Mathematics & Computer Building
5158
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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