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pro vyhledávání: '"Kim, Jang Soo"'
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 infinite parameters. In this paper we give combinatorial interpretation
Externí odkaz:
http://arxiv.org/abs/2404.02483
In 2019, Butler, Choi, Kim, and Seo introduced a new type of juggling card that represents multiplex juggling patterns in a natural bijective way. They conjectured a formula for the generating function for the number of multiplex juggling cards with
Externí odkaz:
http://arxiv.org/abs/2402.09903
We establish, for every family of orthogonal polynomials in the $q$-Askey scheme and the Askey scheme, a combinatorial model for mixed moments and coefficients in terms of paths on the lecture hall graph. This generalizes the previous results of Cort
Externí odkaz:
http://arxiv.org/abs/2311.12761
The identities which are in the literature often called ``bounded Littlewood identities" are determinantal formulas for the sum of Schur functions indexed by partitions with bounded height. They have interesting combinatorial consequences such as con
Externí odkaz:
http://arxiv.org/abs/2301.13117
Autor:
Kim, Jang Soo, Lee, Joonkyung
A graph $H$ is \emph{common} if the number of monochromatic copies of $H$ in a 2-edge-colouring of the complete graph $K_n$ is asymptotically minimised by the random colouring, or equivalently, $t_H(W)+t_H(1-W)\geq 2^{1-e(H)}$ holds for every graphon
Externí odkaz:
http://arxiv.org/abs/2210.00977
Autor:
Kim, Jang Soo, Yun, Sun-mi
We find a simple product formula for the characteristic polynomial of the permutations with a fixed descent set under the weak order. As a corollary we obtain a simple product formula for the characteristic polynomial of alternating permutations. We
Externí odkaz:
http://arxiv.org/abs/2204.01310
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 recurrence. Recently, Cigler and Krattenthaler showed that the negative vers
Externí odkaz:
http://arxiv.org/abs/2201.11344
Publikováno v:
In Advances in Mathematics June 2024 446
Autor:
Kim, Jang Soo, Lee, Joonkyung
Publikováno v:
In Journal of Combinatorial Theory, Series B May 2024 166:109-122