139 citations · 656 across the 26 of their papers we have counts for
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math.CO2002★ 62 cited
Walks confined in a quadrant are not always D-finite
Mireille Bousquet-Melou, Marko Petkovsek
We consider planar lattice walks that start from a prescribed position, take their steps in a given finite subset of Z^2, and always stay in the quadrant x >= 0, y >= 0. We first g…
math.CO2002★ 61 cited
The degree distribution in bipartite planar maps: applications to the Ising model
Mireille Bousquet-Melou, Gilles Schaeffer
We characterize the generating function of bipartite planar maps counted according to the degree distribution of their black and white vertices. This result is applied to the solut…