English

Combinatorics of Hard Particles on Planar Graphs

Statistical Mechanics 2010-04-05 v1 High Energy Physics - Theory Mathematical Physics Combinatorics math.MP

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.

Keywords

Cite

@article{arxiv.cond-mat/0211168,
  title  = {Combinatorics of Hard Particles on Planar Graphs},
  author = {J. Bouttier and P. Di Francesco and E. Guitter},
  journal= {arXiv preprint arXiv:cond-mat/0211168},
  year   = {2010}
}

Comments

35 pages, 20 figures, tex, harvmac, epsf

R2 v1 2026-07-22T10:43:11.668Z