On the structure of the totally ordered set of unimodal cycles

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.

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Bibliographic Details
Main Author: Irene Mulvey
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201003350
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author Irene Mulvey
author_facet Irene Mulvey
author_sort Irene Mulvey
collection DOAJ
description 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.
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1687-0425
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publishDate 2001-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-00570e0673b14ab7bda5d4b1c8ace06b2025-08-20T02:03:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0125532332910.1155/S0161171201003350On the structure of the totally ordered set of unimodal cyclesIrene Mulvey0Mathematics and Computer Sciences, College of Arts and Sciences, Fairfield University, North Benson Road, Fairfield 06430-5195, Connecticut, USAWe 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.http://dx.doi.org/10.1155/S0161171201003350
spellingShingle Irene Mulvey
On the structure of the totally ordered set of unimodal cycles
International Journal of Mathematics and Mathematical Sciences
title On the structure of the totally ordered set of unimodal cycles
title_full On the structure of the totally ordered set of unimodal cycles
title_fullStr On the structure of the totally ordered set of unimodal cycles
title_full_unstemmed On the structure of the totally ordered set of unimodal cycles
title_short On the structure of the totally ordered set of unimodal cycles
title_sort on the structure of the totally ordered set of unimodal cycles
url http://dx.doi.org/10.1155/S0161171201003350
work_keys_str_mv AT irenemulvey onthestructureofthetotallyorderedsetofunimodalcycles