35 citations · 75 across the 5 of their papers we have counts for
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hep-lat1997★ 4 cited
Vertex Models on Feynman Diagrams
D. A. Johnston, P. Plechac
The statistical mechanics of spin models, such as the Ising or Potts models, on generic random graphs can be formulated economically by considering the N --> 1 limit of Hermitian m…
hep-lat1997★ 18 cited
Potts Models on Feynman Diagrams
D. A. Johnston, P. Plechac
We investigate numerically and analytically Potts models on ``thin'' random graphs -- generic Feynman diagrams, using the idea that such models may be expressed as the N --> 1 limi…
hep-lat1995★ 18 cited
Spin Glasses on Thin Graphs
C. F. Baillie, W. Janke, D. A. Johnston +1
In a recent paper we found strong evidence from simulations that the Isingantiferromagnet on ``thin'' random graphs - Feynman diagrams - displayed amean-field spin glass transition…