Counting Cyclic Compositions With Restricted Parts
Location
College of Science and Mathematics (COSM)
Session Format
Poster Presentation
Co-Presenters and Faculty Mentors or Advisors
Dr. Hua Wang
Abstract
Integer compositions are ordered sequences of positive integers that sum up to a given integer. We use generating functions to study cyclic versions of compositions, colored compositions under various constraints. First, a general construction of the generating functions for cyclic compositions (or their parts) is established. With this generating function we look to find and justify patterns from the number of cyclic compositions or number of parts in the cyclic compositions.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Presentation Type and Release Option
Presentation (Open Access)
Recommended Citation
Loos, Gabriel, "Counting Cyclic Compositions With Restricted Parts" (2021). GS4 Georgia Southern Student Scholars Symposium. 51.
https://digitalcommons.georgiasouthern.edu/research_symposium/2021/2021/51
Counting Cyclic Compositions With Restricted Parts
College of Science and Mathematics (COSM)
Integer compositions are ordered sequences of positive integers that sum up to a given integer. We use generating functions to study cyclic versions of compositions, colored compositions under various constraints. First, a general construction of the generating functions for cyclic compositions (or their parts) is established. With this generating function we look to find and justify patterns from the number of cyclic compositions or number of parts in the cyclic compositions.
