International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 5, Pages 323-329
doi:10.1155/S0161171201003350

On the structure of the totally ordered set of unimodal cycles

Irene Mulvey

Mathematics and Computer Sciences, College of Arts and Sciences, Fairfield University, North Benson Road, Fairfield 06430-5195, Connecticut, USA

Abstract

We continue the study of a class of unimodal cycles where each cycle in the class is forced by every unimodal cycle not in the class. For every order, we identify the cycle in the class of that order, which is maximal with respect to the forcing relation.