A counterexample to a conjecture on schur positivity of chromatic symmetric functions of trees

Emmanuella Sandratra Rambeloson; John Shareshian

doi:10.37236/9696

A counterexample to a conjecture on schur positivity of chromatic symmetric functions of trees

Emmanuella Sandratra Rambeloson
, John Shareshian

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Article number	P4.5
Pages (from-to)	1-4
Number of pages	4
Journal	Electronic Journal of Combinatorics
Volume	27
Issue number	4
DOIs	https://doi.org/10.37236/9696
State	Published - 2020

Access to Document

10.37236/9696

Cite this

@article{8387b80b432e49e9a9ba40bdcf2e5551,

title = "A counterexample to a conjecture on schur positivity of chromatic symmetric functions of trees",

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.",

author = "Rambeloson, \{Emmanuella Sandratra\} and John Shareshian",

note = "Publisher Copyright: {\textcopyright} The authors. Released under the CC BY-ND license (International 4.0).",

year = "2020",

doi = "10.37236/9696",

language = "English",

volume = "27",

pages = "1--4",

journal = "Electronic Journal of Combinatorics",

number = "4",

}

TY - JOUR

T1 - A counterexample to a conjecture on schur positivity of chromatic symmetric functions of trees

AU - Rambeloson, Emmanuella Sandratra

AU - Shareshian, John

N1 - Publisher Copyright: © The authors. Released under the CC BY-ND license (International 4.0).

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85092692726

U2 - 10.37236/9696

DO - 10.37236/9696

M3 - Article

AN - SCOPUS:85092692726

VL - 27

SP - 1

EP - 4

JO - Electronic Journal of Combinatorics

JF - Electronic Journal of Combinatorics

IS - 4

M1 - P4.5

ER -

A counterexample to a conjecture on schur positivity of chromatic symmetric functions of trees

Abstract

Access to Document

Other files and links

Fingerprint

Cite this