Combinatorics of Hard Particles on Planar Graphs

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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35 pages, 20 figures, tex, harvmac, epsf

Scientific paper

10.1016/S0550-3213(03)00058-0

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.

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