Bouttier J. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE) Di Francesco P. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE) Guitter E. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Abstract: We revisit the problem of hard particles on planar random tetravalent
graphs in view of recent combinatorial techniques relating planar
diagrams to decorated trees.
We show how to recover the two-matrix model solution to this problem
in this purely combinatorial language.