The Acyclic Edge Coloring Conjecture holds asymptotically

Series
Graph Theory Seminar
Time
Tuesday, October 17, 2023 - 3:30pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Lina Li – Iowa State University – linali@iastate.eduhttps://sites.google.com/view/linali/
Organizer
Tom Kelly

The Acyclic Edge Coloring Conjecture, posed independently by Fiam\v{c}ik in 1978 and Alon, Sudakov and Zaks in 2001, asserts that every graph can be properly edge colored with $\Delta+2$ colors such that there is no bicolored cycle. Over the years, this conjecture has attracted much attention. We prove that the conjecture holds asymptotically, that is $(1+o(1))\Delta$ colors suffice. This is joint work with Michelle Delcourt and Luke Postle.