163 citations · 1.4k across the 76 of their papers we have counts for
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3 papers · 1 filter
math.CO2005★ 6 cited
Integrability of graph combinatorics via random walks and heaps of dimers
P. Di Francesco, E. Guitter
We investigate the integrability of the discrete non-linear equation governing the dependence on geodesic distance of planar graphs with inner vertices of even valences. This equat…
cond-mat.stat-mech2005★ 21 cited
Geometrically constrained statistical systems on regular and random lattices: From folding to meanders
P. Di Francesco, E. Guitter
We review a number a recent advances in the study of two-dimensional statistical models with strong geometrical constraints. These include folding problems of regular and random la…
math.CO2005★ 19 cited
Combinatorics of bicubic maps with hard particles
J. Bouttier, P. Di Francesco, E. Guitter
We present a purely combinatorial solution of the problem of enumerating planar bicubic maps with hard particles. This is done by use of a bijection with a particular class of blos…