14 citations · 14 across the 6 of their papers we have counts for
3 papers · 1 filter
Enumeration of general planar hypermaps with an alternating boundary
Valentin Baillard, Ariane Carrance, Bertrand Eynard
In this paper, we extend the enumerative study of planar hypermaps with an alternating boundary introduced in an earlier work of Bouttier and the second author. In that article, an…
The Ising model on cubic maps: arbitrary genus
Mireille Bousquet-Mélou, Ariane Carrance, Baptiste Louf
We design a recursive algorithm to compute the partition function of the Ising model, summed over cubic maps with fixed size and genus. The algorithm runs in polynomial time, which…
Enumeration of planar constellations with an alternating boundary
Jérémie Bouttier, Ariane Carrance
A planar hypermap with a boundary is defined as a planar map with a boundary, endowed with a proper bicoloring of the inner faces. The boundary is said alternating if the colors of…