Honors College Theses
Publication Date
2024
Major
Mathematics (B.S.)
Release Option
Open Access
Faculty Mentor
Hua Wang
Abstract
The properties of n-color compositions have been studied parallel to those of regular compositions. The conjugate of a composition as defined by MacMahon, however, does not translate well to n-color compositions, and there is currently no established analogous concept. We propose a conjugation rule for cyclic n-color compositions. We also count the number of self-conjugates under these rules and establish a couple of connections between these and regular compositions.
Copyright
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Recommended Citation
Sistos Barron, Jesus Omar, "Counting Conjugates of Colored Compositions" (2024). Honors College Theses. 985.
https://digitalcommons.georgiasouthern.edu/honors-theses/985
