UBC Discrete Math Seminar: Ethan Shelburne
- Date: 11/28/2023
- Time: 16:00
Lecturer(s):
Ethan Shelburne, UBC
Location:
University of British Columbia
Topic:
The Schur-Positivity of Generalized Nets
Description:
We introduce a combinatorial object corresponding to a graph G, called a special rim hook G-tabloid. We construct sign-reversing maps on these special rim hook G-tabloids to prove that a family of claw-free graphs called generalized nets are Schur-positive. Thus, we make progress toward the famous conjecture of Stanley that all claw-free graphs are Schur-positive. We also discuss how this method can be extended and applied to related families of graphs.
Other Information:
Location: ESB 4133
Time: 4pm Pacific