# Vertex model

## Papers overview

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2018

2018

- Inf. Comput.
- 2018

We prove a complexity dichotomy theorem for the six-vertex model. For every setting of the parameters of the model, we prove that… (More)

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2016

2016

- 2016

We study the asymmetric six-vertex model in the quadrant with parameters on the stochastic line. We show that the random height… (More)

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2012

2012

- 2012

Let G denote the collection of all undirected graphs, two of them being the same if they are isomorphic. In this paper, all… (More)

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2007

2007

- 2007

We enumerate staircases with fixed left and right columns. These objects correspond to ice-configurations, or alternating sign… (More)

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2004

2004

- 2004

We consider a vertex model on the simple-quartic lattice defined by line graphs on the lattice for which there is always an odd… (More)

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2004

2004

- 2004

We derive sets of functional equations for the eight vertex model by exploiting an analogy with the functional equations of the… (More)

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2002

2002

- 2002

Objects in the plane with no obvious landmarks can be described by either vertex transformation vectors or edge transformation… (More)

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2000

2000

- 2000

In this letter, the 6-vertex model on dynamical random lattices is defined via a matrix model and rewritten (following I. Kostov… (More)

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2000

2000

- 2000

We solve exactly the the 6-vertex model on a dynamical random lattice, using its representation as a large N matrix model. The… (More)

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1993

1993

- 1993

We study the higher spin anologs of the six vertex model on the basis of its symmetry under the quantum affine algebra Uq(ŝl2… (More)

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