Abstract. We consider self-avoiding walks on the honeycomb lattice interacting with a surface with different energies associated between sites in contact with a linear boundary to the left of the origin and those in contact with the right of the boundary. We numerically confirm recent exact results for the polymer adsorption transition and corresponding critical exponents with mixed ordinary and special boundary conditions. The phase diagram is elucidated with the aid of some rigorous arguments.

Print publication: Issue 16 (21 August 1996)
Received 27 November 1995, in final form 29 February 1996