Strong edge colorings and edge cuts

Series
Graph Theory Working Seminar
Time
Wednesday, March 13, 2019 - 4:30pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
James Anderson – Georgia Tech
Organizer
Xingxing Yu
Erdős and Nešetřil conjectured in 1985 that every graph with maximum degree Δ can be strong edge colored using at most 5/4 Δ^2 colors. The conjecture is still open for Δ=4. We show the conjecture is true when an edge cut of size 1 or 2 exists, and in certain cases when an edge cut of size 4 or 3 exists.