5 citations · 14 across the 10 of their papers we have counts for
18 papers · 1 filter
Extended commonality of paths and cycles via Schur convexity
Jang Soo Kim, Joonkyung Lee
A graph is \emph{common} if the number of monochromatic copies of in a 2-edge-colouring of the complete graph is asymptotically minimised by the random colouring, or…
Characteristic polynomials of the weak order on classical and affine Coxeter groups
Jang Soo Kim, Sun-mi Yun
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 form…
Three families of -Lommel polynomials
Jang Soo Kim, Dennis Stanton
Three -versions of Lommel polynomials are studied. Included are explicit representations, recurrences, continued fractions, and connections to associated Askey--Wilson polynomia…
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 Gelfand-Cetlin type reduced words
Yunhyung Cho, Jang Soo Kim, Eunjeong Lee
The combinatorics of reduced words and commutation classes plays an important role in geometric representation theory. A string polytope is a lattice polytope associated to each re…
Jacobi--Trudi formulas for flagged refined dual stable Grothendieck polynomials
Jang Soo Kim
Recently Galashin, Grinberg, and Liu introduced the refined dual stable Grothendieck polynomials, which are symmetric functions in with additional parameters $t…