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Georgia Southern University

Integer Compositions, Gray Code, and the Fibonacci Sequence

Abstract

dc:description.abstract

<p>In this thesis I show the relation of binary and Gray Code to integer compositions and the Fibonacci sequence through the use of analytic combinatorics, Zeckendorf's Theorem, and generating functions.</p>

Degree

thesis:*
Name thesis:degree_name
Master of Science in Mathematics (M.S.)
Level thesis:degree_level
Thesis (open access)
Discipline thesis:degree_discipline
Department of Mathematical Sciences
Year dc:date.available
2012

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Lindroos, Linus
Contributors dc:contributor
  • David Stone
  • Hua Wang

Subjects

dc:subject × 5

Identifiers

dc:identifier.*
Repository record dc:identifier
https://digitalcommons.georgiasouthern.edu/etd/13
OAI identifier oai:identifier
oai:digitalcommons.georgiasouthern.edu:etd-1012

Chain of custody

source
Harvested from
Georgia Southern University
Base URL
digitalcommons.georgiasouthern.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Lindroos, Linus. Integer Compositions, Gray Code, and the Fibonacci Sequence. Thesis (open access) thesis, 2012. https://digitalcommons.georgiasouthern.edu/etd/13