Mathematical Sciences: Faculty Presentations (1991-2022)
Combinatorics of n-Colored Cyclic Compositions
Document Type
Presentation
Presentation Date
3-12-2017
Copyright
This work is archived and distributed under the repository's Standard Copyright and Reuse License (opens in new tab). End users may copy, store, and distribute this work without restriction. For all other uses, permission must be obtained from the copyright owners or their authorized agents.
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
Recommended Citation
Gibson, Meghann M., Daniel Gray, Hua Wang.
2017.
"Combinatorics of n-Colored Cyclic Compositions."
Mathematical Sciences: Faculty Presentations (1991-2022).
Presentation 490.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/490