7 citations · 12 across the 3 of their papers we have counts for
3 papers
math.CO2008★ 4 cited
Solution to a combinatorial puzzle arising from Mayer's theory of cluster integrals
Olivier Bernardi
Mayer's theory of cluster integrals allows one to write the partition function of a gas model as a generating function of weighted graphs. Recently, Labelle, Leroux and Ducharme ha…
math.CO2007★ 7 cited
Catalan's intervals and realizers of triangulations
Olivier Bernardi, Nicolas Bonichon
The Stanley lattice, Tamari lattice and Kreweras lattice are three remarkable orders defined on the set of Catalan objects of a given size. These lattices are ordered by inclusion:…
math.CO2006★ 1 cited
Tutte polynomial, subgraphs, orientations and sandpile model: new connections via embeddings
Olivier Bernardi
For any graph G with n edges, the spanning subgraphs and the orientations of G are both counted by the evaluation T_G(2,2)=2^n of its Tutte polynomial. We define a bijection be…