Chromatic symmetric functions from the modular law

Alex Abreu, Antonio Nigro

Type: Article

Publication Date: 2021-01-13

Citations: 16

DOI: https://doi.org/10.1016/j.jcta.2021.105407

View Publication

Download PDF

Locations

Journal of Combinatorial Theory Series A - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Chromatic symmetric functions from the modular law	2020	Alex Abreu Antonio Nigro
+	Chromatic symmetric functions from the modular law	2020	Alex Abreu Antonio Nigro
+ PDF Chat	A Symmetric Function of Increasing Forests	2021	Alex Abreu Antonio Nigro
+	Melting lollipop chromatic quasisymmetric functions and Schur expansion of unicellular LLT polynomials	2019	JiSun Huh Sun-Young Nam Meesue Yoo
+ PDF Chat	LLT polynomials, chromatic quasisymmetric functions and graphs with cycles	2018	Per Alexandersson Greta Panova
+	Melting lollipop chromatic quasisymmetric functions and Schur expansion of unicellular LLT polynomials	2018	JiSun Huh Sun-Young Nam Meesue Yoo
+	Melting lollipop chromatic quasisymmetric functions and Schur expansion of unicellular LLT polynomials	2018	JiSun Huh Sun-Young Nam Meesue Yoo
+ PDF Chat	LLT polynomials, elementary symmetric functions and melting lollipops	2020	Per Alexandersson
+	Chromatic functions, interval orders and increasing forests	2023	Michele DʼAdderio Roberto Riccardi Viola Siconolfi
+ PDF Chat	Modular relations of the Tutte symmetric function	2021	Logan Crew Sophie Spirkl
+	<i>P</i>-Partitions and <i>p</i>-Positivity	2019	Per Alexandersson Robin Sulzgruber
+	A combinatorial expansion of vertical-strip LLT polynomials in the basis of elementary symmetric functions	2020	Per Alexandersson Robin Sulzgruber
+	Modular Relations of the Tutte Symmetric Function.	2021	Logan Crew Sophie Spirkl
+	A combinatorial expansion of vertical-strip LLT polynomials in the basis of elementary symmetric functions	2022	Per Alexandersson Robin Sulzgruber
+	Composition method for chromatic symmetric functions: Neat noncommutative analogs	2024	David G. L. Wang James Z. F. Zhou
+ PDF Chat	A proof of the Stanley-Stembridge conjecture	2024	Tatsuyuki Hikita
+ PDF Chat	On $e$-Positivity and $e$-Unimodality of Chromatic Quasi-symmetric Functions	2019	Soojin Cho JiSun Huh
+ PDF Chat	Chromatic classical symmetric functions	2018	Soojin Cho Stephanie van Willigenburg
+	Chromatic classical symmetric functions	2016	Soojin Cho Stephanie van Willigenburg
+	Homogeneous sets in graphs and a chromatic multisymmetric function	2024	Logan Crew Evan Haithcock Josephine Reynes Sophie Spirkl

Works That Cite This (16)

Action	Title	Year	Authors
+ PDF Chat	Toward Permutation Bases in the Equivariant Cohomology Rings of Regular Semisimple Hessenberg Varieties	2021	Megumi Harada Martha Precup Julianna Tymoczko
+	The Newton polytope and Lorentzian property of chromatic symmetric functions	2024	Jacob P. Matherne Alejandro H. Morales Jesse Selover
+	Geometry of the twin manifolds of regular semisimple Hessenberg varieties and unicellular LLT polynomials	2024	Young‐Hoon Kiem Donggun Lee
+ PDF Chat	Birational geometry of generalized Hessenberg varieties and the generalized Shareshian-Wachs conjecture	2024	Young‐Hoon Kiem Donggun Lee
+ PDF Chat	Chromatic symmetric functions of Dyck paths and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e674" altimg="si192.svg"><mml:mi>q</mml:mi></mml:math>-rook theory	2022	Laura Colmenarejo Alejandro H. Morales Greta Panova
+ PDF Chat	A Symmetric Function of Increasing Forests	2021	Alex Abreu Antonio Nigro
+ PDF Chat	Upper Triangular Linear Relations on Mmultiplicities and the Stanley-Stembridge Conjecture	2022	Megumi Harada Martha Precup
+	A combinatorial expansion of vertical-strip LLT polynomials in the basis of elementary symmetric functions	2022	Per Alexandersson Robin Sulzgruber
+	An update on Haiman’s conjectures	2024	Alex Abreu Antonio Nigro
+	Homogeneous sets in graphs and a chromatic multisymmetric function	2024	Logan Crew Evan Haithcock Josephine Reynes Sophie Spirkl

Works Cited by This (33)

Action	Title	Year	Authors
+	A modular relation for the chromatic symmetric functions of (3+1)-free posets	2013	Mathieu Guay-Paquet
+ PDF Chat	Hecke algebra characters and immanant conjectures	1993	Mark Haiman
+ PDF Chat	Expansions of chromatic polynomials and log-concavity	1992	Francesco Brenti
+	q-Rook Polynomials and Matrices over Finite Fields	1998	James Haglund
+	A Symmetric Function Generalization of the Chromatic Polynomial of a Graph	1995	Richard P. Stanley
+	An Interpretation for Garsia and Remmel'sq-Hit Numbers	1998	Morris J. Dworkin
+	Graphs with equal chromatic symmetric functions	2013	Rosa Orellana Geoffrey Scott
+	Log‐Concave and Unimodal Sequences in Algebra, Combinatorics, and Geometry<sup>a</sup>	1989	Richard P. Stanley
+	Q-counting rook configurations and a formula of frobenius	1986	Adriano M. Garsia Jeffrey B. Remmel
+	On immanants of Jacobi-Trudi matrices and permutations with restricted position	1993	Richard P. Stanley John R. Stembridge