139 citations · 656 across the 26 of their papers we have counts for
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math.CO2010★ 4 cited
Orders induced by segments in floorplan partitions and (2-14-3,3-41-2)-avoiding permutations
Andrei Asinowski, Gill Barequet, Mireille Bousquet-Mélou +2
A floorplan is a tiling of a rectangle by rectangles. There are natural ways to order the elements---rectangles and segments---of a floorplan. Ackerman, Barequet and Pinter studied…
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…