Mathematical Sciences: Faculty Presentations (1991-2022)

Combinatorics of n-Colored Cyclic Compositions

Document Type

Presentation

Presentation Date

3-12-2017

Copyright

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Abstract or Description

Integer compositions and related enumeration problems have been of interests to combinatorialists and number theorists for a long time. The cyclic and colored analogues of this concept, although interesting, have not been extensively studied. We explore the combinatorics of n-colored cyclic compositions, presenting generating functions, bijections, asymptotic formulas related to the number of such compositions, and the number of parts and the number of restricted parts of certain cyclic compositions.

Sponsorship/Conference/Institution

Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS)

Location

Charleston, SC

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