11 citations · 32 across the 14 of their papers we have counts for
17 papers · 1 filter
Thrall's problem for two rows
JiSun Huh, Woo-Seok Jung, Jang Soo Kim +1
In this paper, we study Thrall's problem for the higher Lie modules . Our main result provides a tableau-theoretic description of the Schur expansion of the character of …
Hall--Littlewood expansions of chromatic quasisymmetric functions using linked rook placements
Jang Soo Kim, Seung Jin Lee, Meesue Yoo
In this work, we obtain a Hall--Littlewood expansion of the chromatic quasisymmetric function arising from a natural unit interval order and describe the coefficients in terms of l…
-chromatic symmetric functions
Jim Haglund, Jaeseong Oh, Meesue Yoo
In this paper, we introduce the \emph{-chromatic symmetric functions} , extending Shareshian and Wachs' chromatic symmetric functions with an additional real par…
Lattice paths and negatively indexed weight-dependent binomial coefficients
Josef Küstner, Michael J. Schlosser, Meesue Yoo
In 1992, Loeb considered a natural extension of the binomial coefficients to negative entries and gave a combinatorial interpretation in terms of hybrid sets. He showed that many o…
Elliptic solutions of dynamical Lucas sequences
Michael J. Schlosser, Meesue Yoo
We study two types of dynamical extensions of Lucas sequences and give elliptic solutions for them. The first type concerns a level-dependent (or discrete time-dependent) version i…
Generalized Schur function determinants using the Bazin identity
Jang Soo Kim, Meesue Yoo
In the literature there are several determinant formulas for Schur functions: the Jacobi-Trudi formula, the dual Jacobi-Trudi formula, the Giambelli formula, the Lascoux-Pragacz fo…
Enumeration of standard barely set-valued tableaux of shifted shapes
Jang Soo Kim, Michael J. Schlosser, Meesue Yoo
A standard barely set-valued tableau of shape is a filling of the Young diagram with integers such that the integers are increasing in each row and column…
Melting lollipop chromatic quasisymmetric functions and Schur expansion of unicellular LLT polynomials
JiSun Huh, Sun-Young Nam, Meesue Yoo
In this work, we generalize and utilize the linear relations of LLT polynomials introduced by Lee \cite{Lee}. By using the fact that the chromatic quasisymmetric functions and the…
Product formulas for certain skew tableaux
Jang Soo Kim, Meesue Yoo
The hook length formula gives a product formula for the number of standard Young tableaux of a partition shape. The number of standard Young tableaux of a skew shape does not alway…
Exploring a Delta Schur Conjecture
Adriano Garsia, Jeffrey Liese, Jeffrey B. Remmel +1
In \cite{HRW15}, Haglund, Remmel, Wilson state a conjecture which predicts a purely combinatorial way of obtaining the symmetric function . It is called the Delta Conje…
Reverse plane partitions of skew staircase shapes and -Euler numbers
Byung-Hak Hwang, Jang Soo Kim, Meesue Yoo +1
Recently, Naruse discovered a hook length formula for the number of standard Young tableaux of a skew shape. Morales, Pak and Panova found two -analogs of Naruse's hook length f…
Hook length property of -complete posets via -integrals
Jang Soo Kim, Meesue Yoo
The hook length formula for -complete posets states that the -partition generating function for them is given by a product in terms of hook lengths. We give a new proof of th…
Weight-dependent commutation relations and combinatorial identities
Michael J. Schlosser, Meesue Yoo
We derive combinatorial identities for variables satisfying specific systems of commutation relations, in particular elliptic commutation relations. The identities thus obtained ex…
Basic hypergeometric summations from rook theory
Michael J. Schlosser, Meesue Yoo
We employ a one-variable extension of q-rook theory to give combinatorial proofs of some basic hypergeometric summations, including the q-Pfaff-Saalschütz summation and a 4phi3 sum…
Elliptic extensions of the alpha-parameter model and the rook model for matchings
Michael J. Schlosser, Meesue Yoo
We construct elliptic extensions of the alpha-parameter rook model introduced by Goldman and Haglund and of the rook model for matchings of Haglund and Remmel. In particular, we ex…
An elliptic extension of the general product formula for augmented rook boards
Michael J. Schlosser, Meesue Yoo
Rook theory has been investigated by many people since its introduction by Kaplansky and Riordan in 1946. Goldman, Joichi and White in 1975 showed that the sum over of the prod…
Elliptic rook and file numbers
Michael J. Schlosser, Meesue Yoo
Utilizing elliptic weights, we construct an elliptic analogue of rook numbers for Ferrers boards. Our elliptic rook numbers generalize Garsia and Remmel's q-rook numbers by two add…