Disclosed is a method of inhibiting the binding of a cell bearing a cell adhesion protein to a molecule or cell bearing a carbohydrate determinant specific for the cell adhesion molecule. The method involves contacting the cell adhesion protein-bearing cell with an inhibitor molecule bearing the carbohydrate determinant. Also disclosed is a method of inhibiting the binding of the first member of a specific binding pair to the second member of the specific binding pair, involving contacting the first member with an antibody which is specific for the first member and which is covalently bonded to a carbohydrate moiety which interferes with the antibody's ability to fix complement and bind an F.sub.c receptor. The methods of the invention may be used, for example, to reduce inflammation.