most citedCatalan's intervals and realizers of triangulations

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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…