Updated: July 5th, 2023 15:39

2021 journal article

Channels, Billiards, and Perfect Matching 2-Divisibility

*ELECTRONIC JOURNAL OF COMBINATORICS*, *28*(2).

Source: Web Of Science

Added: July 19, 2021

2021 article

Determinantal Formulas for SEM Expansions of Schubert Polynomials

Hatam, H., Johnson, J., Liu, R. I., & Macaulay, M. (2021, October 23). *ANNALS OF COMBINATORICS*.

Source: Web Of Science

Added: November 8, 2021

2021 journal article

P-Partitions and Quasisymmetric Power Sums

*INTERNATIONAL MATHEMATICS RESEARCH NOTICES*, *2021*(18), 13975–14015.

UN Sustainable Development Goal Categories

4. Quality Education
(Web of Science)

Source: Web Of Science

Added: January 3, 2022

2021 journal article

Up- and Down-operators on Young's Lattice

*ELECTRONIC JOURNAL OF COMBINATORICS*, *28*(3).

Source: Web Of Science

Added: August 23, 2021

2020 journal article

P-partition generating function equivalence of naturally labeled posets

*JOURNAL OF COMBINATORIAL THEORY SERIES A*, *170*.

author keywords: P-Partition; Quasisymmetric function; Combinatorial hopf algebra

TL;DR:
Using the Hopf algebra of posets, necessary conditions for two posets to have the same generating function are given and it is shown that they must have the the same number of antichains of each size, as well as the same shape.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

4. Quality Education
(Web of Science)

Source: Web Of Science

Added: November 18, 2019

2020 journal article

The algebra of Schur operators

*EUROPEAN JOURNAL OF COMBINATORICS*, *87*.

Source: Web Of Science

Added: May 26, 2020

2019 journal article

Flow Polytopes and the Space of Diagonal Harmonics

*Canadian Journal of Mathematics*, 1–27.

author keywords: flow polytope; threshold graph; diagonal harmonic; Tesler matrix

Source: Crossref

Added: July 28, 2019

2019 journal article

GELFAND-TSETLIN POLYTOPES: A STORY OF FLOW AND ORDER POLYTOPES

*SIAM JOURNAL ON DISCRETE MATHEMATICS*, *33*(4), 2394–2415.

Source: Web Of Science

Added: June 29, 2020

2018 journal article

Kronecker coefficients and noncommutative super Schur functions

*Journal of Combinatorial Theory, Series A*, *158*, 315–361.

author keywords: Kronecker coefficients; Noncommutative Schur functions; Super Schur functions; Colored tableaux

TL;DR:
A theory of noncommutative super Schur functions is developed and used to prove a positive combinatorial rule for the Kronecker coefficients where one of the partitions is a hook, recovering previous results of the two authors.
(via Semantic Scholar)

Sources: Web Of Science, Crossref

Added: August 6, 2018

2017 journal article

A simplified Kronecker rule for one hook shape

*Proceedings of the American Mathematical Society*, *145*(9), 3657–3664.

Source: Crossref

Added: July 28, 2019

2016 journal article

Complete branching rules for Specht modules

*JOURNAL OF ALGEBRA*, *446*, 77–102.

author keywords: Symmetric group; Specht modules; Branching rule

UN Sustainable Development Goal Categories

15. Life on Land
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2016 journal article

On the commutative quotient of Fomin-Kirillov algebras

*EUROPEAN JOURNAL OF COMBINATORICS*, *54*, 65–75.

Source: Web Of Science

Added: August 6, 2018

2016 journal article

Subalgebras of the Fomin-Kirillov algebra

*JOURNAL OF ALGEBRAIC COMBINATORICS*, *44*(3), 785–829.

author keywords: Fomin-Kirillov algebra; Coxeter group; nil-Coxeter algebra; Nichols algebra

Source: Web Of Science

Added: August 6, 2018

2015 journal article

Positive expressions for skew divided difference operators

*JOURNAL OF ALGEBRAIC COMBINATORICS*, *42*(3), 861–874.

Source: Web Of Science

Added: August 6, 2018

2014 journal article

Coefficients of a relative of cyclotomic polynomials

*Acta Arithmetica*, *165*(4), 301–325.

author keywords: cyclotomic polynomial; height

Source: Crossref

Added: July 28, 2019

2014 journal article

Laurent polynomials, Eulerian numbers, and Bernstein's theorem

*Journal of Combinatorial Theory, Series A*, *124*, 244–250.

author keywords: Eulerian number; Bernstein's theorem; Hypersimplex

TL;DR:
It is shown that a refinement of Eulerian numbers gives a combinatorial interpretation for volumes of certain rational hyperplane sections of the hypercube.
(via Semantic Scholar)

Source: Crossref

Added: July 28, 2019

2013 journal article

Nonconvexity of the set of hypergraph degree sequences

*Electronic Journal of Combinatorics*, *20*(1).

Source: NC State University Libraries

Added: July 28, 2019

2012 journal article

Matching polytopes and Specht modules

*Transactions of the American Mathematical Society*, *364*(2), 1089–1107.

UN Sustainable Development Goal Categories

15. Life on Land
(OpenAlex)

Source: Crossref

Added: July 28, 2019

2011 journal article

Matrices with restricted entries and $q$-analogues of permutations

*Journal of Combinatorics*, *2*(3), 355–395.

Source: Crossref

Added: July 28, 2019

2010 journal article

An algorithmic Littlewood-Richardson rule

*Journal of Algebraic Combinatorics*, *31*(2), 253–266.

author keywords: Littlewood-Richardson rule; Specht modules; Grassmannian

Source: Crossref

Added: July 28, 2019

2010 thesis

Specht modules and Schubert varieties for general diagrams

(PhD Thesis). http://hdl.handle.net/1721.1/60196.

Source: NC State University Libraries

Added: July 10, 2019

2007 journal article

Counting subrings of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:math> of index k

*Journal of Combinatorial Theory, Series A*, *114*(2), 278–299.

author keywords: subrings; lattices; multiplicative lattices

TL;DR:
This work considers the problem of determining the number of subrings of the ring Z^n of a fixed index k, denoted f"n(k) and presents a decomposition theorem for these subrings and calculates explicit expressions for the Dirichlet series generating function.
(via Semantic Scholar)

Source: Crossref

Added: October 30, 2020

2007 journal article

Counting subrings of Zn of index k

*Journal of Combinatorial Theory Series A*, *114*(2), 278–299.

Source: NC State University Libraries

Added: July 28, 2019

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