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arxiv: cond-mat/0211168 · v1 · submitted 2002-11-08 · ❄️ cond-mat.stat-mech · hep-th· math-ph· math.CO· math.MP

Combinatorics of Hard Particles on Planar Graphs

classification ❄️ cond-mat.stat-mech hep-thmath-phmath.COmath.MP
keywords planarcombinatorialgraphshardparticlesproblemcombinatoricsdecorated
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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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