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math.CO2022★ 1 cited
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…
math.CO2022
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…