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Showing 2010 · math.COShow all
3 papers · 2 filters
math.CO2010★ 8 cited
Weakly directed self-avoiding walks
Axel Bacher, Mireille Bousquet-Mélou
We define a new family of self-avoiding walks (SAW) on the square lattice, called weakly directed walks. These walks have a simple characterization in terms of the irreducible brid…
math.CO2010★ 16 cited
Counting permutations with no long monotone subsequence via generating trees and the kernel method
Mireille Bousquet-Mélou
We recover Gessel's determinantal formula for the generating function of permutations with no ascending subsequence of length m+1. The starting point of our proof is the recursive…
math.CO2010★ 18 cited
Zonal polynomials via Stanley's coordinates and free cumulants
Valentin Feray, Piotr Śniady
We study zonal characters which are defined as suitably normalized coefficients in the expansion of zonal polynomials in terms of power-sum symmetric functions. We show that the zo…