Term of Award
Fall 2012
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Hua Wang
Committee Member 1
Andrew Sills
Committee Member 2
David Stone
Committee Member 3
David Stone
Abstract
In this thesis we give an introduction to colored-compositions of an integer. This is a generalization of traditional integer compositions, and we show a few results for n-color compositions which are analogous to regular compositions with both combinatorial and analytic proofs. We also show several bijections between various types of compositions to certain types of numeric strings, and provide a generalization of a classic bijection between compositions and binary strings.
Recommended Citation
Dedrickson, Charles R. III, "Compositions, Bijections, and Enumerations" (2012). Electronic Theses and Dissertations. 17.
https://digitalcommons.georgiasouthern.edu/etd/17
Research Data and Supplementary Material
No
