Geodesic
A counterexample to a conjecture on Schur positivity of chromatic symmetric functions of trees
Emmanuella Sandratra Rambeloson1 ; John Shareshian2
1African Institute of Mathematical Sciences, Accra, Ghana
2Washington University
The electronic journal of combinatorics, Tome 27 (2020) no. 4
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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.
DOI : 10.37236/9696
Classification : 05E05, 05C15, 05C05, 05C70
Mots-clés : stable partition

Emmanuella Sandratra Rambeloson  1   ; John Shareshian  2

1 African Institute of Mathematical Sciences, Accra, Ghana
2 Washington University 
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     title = {A counterexample to a conjecture on {Schur} positivity of chromatic symmetric functions of trees},
     journal = {The electronic journal of combinatorics},
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Emmanuella Sandratra Rambeloson; John Shareshian. A counterexample to a conjecture on Schur positivity of chromatic symmetric functions of trees. The electronic journal of combinatorics, Tome 27 (2020) no. 4. doi: 10.37236/9696

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