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The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is $1+\sqrt(2)$ Beaton N. R., Bousquet-Mélou M., de Gier J., Duminil-Copin H., Guttmann A. J. [hal-00719647 - version 1] (2012-07-20)

Deformed Kazhdan-Lusztig elements and Macdonald polynomials de Gier J., Lascoux A., Sorrell M. Journal of Combinatorial Theory, Series A 119 (2012) 183-211 [hal-00826205 - version 1]

Self-avoiding walks crossing a square Bousquet-Mélou M., Guttmann T., Jensen I. Journal of Physics A 38 (2005) 9159--9181 [hal-00355736 - version 1]