A Chromatic Symmetric Function in Noncommuting Variables
By D. Gebhard, Bruce E. Sagan. 2001
120 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/491be863e8ae668c31198785d4b8220b831d32a1
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- Swapneel Mahajan
- Marcelo Aguiar
- Nantel Bergeron
- Jean-Yves Thibon
- Jean-Christophe Novelli
- Mike Zabrocki
- Nathaniel Thiem
- Mercedes H. Rosas
In Discrete Mathematics and Combinatorics
- Nathaniel Thiem
- Persi Diaconis
- Anders O. F. Hendrickson
- Nantel Bergeron
- Swapneel Mahajan
- Marcelo Aguiar
- Gizem Karaali
- Jean-Yves Thibon
In Electrical and Electronic Engineering
- Persi Diaconis
- Nathaniel Thiem
- Mercedes H. Rosas
- Anders O. F. Hendrickson
- Marcelo Aguiar
- Swapneel Mahajan
- Gizem Karaali
- I. Isaacs
Citations in the corpus
- Symmetric functions in noncommuting variables (2002, methodology): “Together with Stembridge [33], he conjectured that for a certain family G of graphs (those associated with (3+1)-free posets) XG is e-positive for all G ∈ G. Gasharov [7] has proved the weaker result that XG is s-positive for all G ∈ G. Gebhard and Sagan [8] have proved that XG is e-positive for all”
- Monoidal Functors, Species, and Hopf Algebras (2010, methodology): “D. D. Gebhard and B. E. Sagan, A chromatic symmetric function in noncommuting variables, J. Algebraic Combin.”
- Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras (2010, methodology): “A lucid introduction is given by Rosas and Sagan [35] and combinatorial applications by Gebhard and Sagan [19].”