UBC Discrete Math Seminar: Ethan Shelburne

  • Date: 11/28/2023
  • Time: 16:00
Ethan Shelburne, UBC

University of British Columbia


The Schur-Positivity of Generalized Nets


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