Terry I. Visentin

The number of order–preserving maps of fences and crowns

Currie, James; Visentin, Terry I. (Springer, 1991-06)

We perform an exact enumeration of the order-preserving maps of fences (zig-zags) and crowns (cycles). From this we derive asymptotic results.
Counting endomorphisms of crown-like orders

Currie, James D.; Visentin, Terry I. (Springer, 2002-12)

The authors introduce the notion of crown-like orders and introduce powerful tools for counting the endomorphisms of orders of this type.