2 citations · 5 across the 13 of their papers we have counts for
13 papers
The extra slow Tamari lattice
Sylvie Corteel, Jihyeug Jang, Baptiste Rognerud
We introduce the extra slow Tamari lattices, a new family of lattices defined on faithfully balanced tableaux. These tableaux arise naturally from the representation theory of type…
Andrews--Gordon type identities with parity restrictions through particle motion
Jehanne Dousse, Jihyeug Jang
In this paper, we use the particle motion bijection introduced by Warnaar and developed by the two authors, Jouhet and Konan, to study q-series and partition identities of the Andr…
-Grounded partitions at levels and , Part I: bijections
Benedek Dombos, Jihyeug Jang
Grounded partitions, introduced by Dousse and Konan, are coloured partitions satisfying difference conditions encoded by a matrix. For suitable choices of this matrix, their genera…
Andrews--Gordon and Stanton type identities: bijective and Bailey lemma approaches
Jehanne Dousse, Jihyeug Jang, Frédéric Jouhet
In 2018, Stanton proved two types of generalisations of the celebrated Andrews--Gordon and Bressoud identities (in their -series version): one with a similar shape to the origin…
Hook-valued tableau uncrowding and tableau switching
Jihyeug Jang, Jang Soo Kim, Jianping Pan +2
Refined canonical stable Grothendieck polynomials were introduced by Hwang, Jang, Kim, Song, and Song. There exist two combinatorial models for these polynomials: one using hook-va…
Combinatorics of orthogonal polynomials on the unit circle
Jihyeug Jang, Minho Song
Orthogonal polynomials on the unit circle (OPUC for short) are a family of polynomials whose orthogonality is given by integration over the unit circle in the complex plane. There…
Refined canonical stable Grothendieck polynomials and their duals, Part 2
Byung-Hak Hwang, Jihyeug Jang, Jang Soo Kim +2
This paper is the sequel of the paper under the same title with part 1, where we introduced refined canonical stable Grothendieck polynomials and their duals with two families of i…
Kemeny's constant and enumerating Braess edges in trees
Jihyeug Jang, Mark Kempton, Sooyeong Kim +3
We study the problem of enumerating Braess edges for Kemeny's constant in trees. We obtain bounds and asympotic results for the number of Braess edges in some families of trees.
Kemeny's constant and Wiener index on trees
Jihyeug Jang, Sooyeong Kim, Minho Song
On trees of fixed order, we show a direct relation between Kemeny's constant and Wiener index, and provide a new formula of Kemeny's constant from the relation with a combinatorial…
Negative moments of orthogonal polynomials
Jihyeug Jang, Donghyun Kim, Jang Soo Kim +2
If a sequence indexed by nonnegative integers satisfies a linear recurrence without constant terms, one can extend the indices of the sequence to negative integers using the recurr…
A combinatorial model for the transition matrix between the Specht and web bases
Byung-Hak Hwang, Jihyeug Jang, Jaeseong Oh
We introduce a new class of permutations, called web permutations. Using these permutations, we provide a combinatorial interpretation for entries of the transition matrix between…
Refined canonical stable Grothendieck polynomials and their duals, Part 1
Byung-Hak Hwang, Jihyeug Jang, Jang Soo Kim +2
In this paper we introduce refined canonical stable Grothendieck polynomials and their duals with two infinite sequences of parameters. These polynomials unify several generalizati…
Volumes of flow polytopes related to caracol graphs
Jihyeug Jang, Jang Soo Kim
Recently, Benedetti et al. introduced an Ehrhart-like polynomial associated to a graph. This polynomial is defined as the volume of a certain flow polytope related to a graph and h…