Chemists have long been looking for a theory of the adsorption of molecules onto lattice surfaces. The problems are relatively easy to solve on the line and probably intractable in 2-dimensions. The structures known as trees provide a halfway-house between 1- and 2-dimensions. The problems are remarkably tractable on trees and it is found that the treatment of blocking, dimer and annihilation processes have striking similarities. Some of these results lead to inequalities on bipartite lattices.
 

Convenor:Aidan Sudbury