139 citations · 656 across the 26 of their papers we have counts for
31 papers
Counting planar maps, coloured or uncoloured
Mireille Bousquet-Mélou
We present recent results on the enumeration of -coloured planar maps, where each monochromatic edge carries a weight . This is equivalent to weighting each map by its Tutte…
Counting Walks in the Quarter Plane
Mireille Bousquet-Melou
We study planar walks that start from a given point (i\_0, j\_0), take their steps in a finite set S, and are confined in the first quadrant of the plane. Their enumeration can be…
On the number of planar Eulerian orientations
Nicolas Bonichon, Mireille Bousquet-Mélou, Paul Dorbec +1
The number of planar Eulerian maps with n edges is well-known to have a simple expression. But what is the number of planar Eulerian orientations with n edges? This problem appears…
Square lattice walks avoiding a quadrant
Mireille Bousquet-Mélou
In the past decade, a lot of attention has been devoted to the enumera-tion of walks with prescribed steps confined to a convex cone. In two dimensions, this means counting walks i…
Counting coloured planar maps: differential equations
Olivier Bernardi, Mireille Bousquet-Mélou
We address the enumeration of q-coloured planar maps counted bythe number of edges and the number of monochromatic edges. We prove that the associated generating function is differ…
On 3-dimensional lattice walks confined to the positive octant
Alin Bostan, Mireille Bousquet-Mélou, Manuel Kauers +1
Many recent papers deal with the enumeration of 2-dimensional walks with prescribed steps confined to the positive quadrant. The classification is now complete for walks with steps…