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.
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"]},{"key":"dc:title","label":"Title","values":["Compositions, Bijections, and Enumerations"]}]}],"canonical_facts":{"dc:contributor":["Andrew Sills","David Stone"],"dc:creator":["Dedrickson, Charles R., III"],"dc:date.available":["2013-07-19T07:00:00Z"],"dc:description.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.
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