A Counterexample to a Conjecture on Schur Positivity of Chromatic Symmetric Functions of trees

  • Emmanuella Sandratra Rambeloson
  • John Shareshian
DOI: https://doi.org/10.37236/9696

Abstract

We show that no tree on twenty vertices with maximum degree ten has Schur positive chromatic symmetric function, thereby providing a counterexample to a conjecture of Dahlberg, She and van Willigenburg.

Published
2020-10-16
How to Cite
Emmanuella Sandratra Rambeloson, & Shareshian, J. (2020). A Counterexample to a Conjecture on Schur Positivity of Chromatic Symmetric Functions of trees. The Electronic Journal of Combinatorics, 27(4), #P4.5. https://doi.org/10.37236/9696
Issue
Volume 27, Issue 4 (2020)
Article Number
P4.5