Graphing Beyond Collatz

In this thesis, we present a simple additive property found in the Collatz Graph. We also discuss the Combined Collatz Graph, as defined in [3], define the Extended Combined Collatz Graph, and discuss these graphs' relation to the Collatz Problem. We prove that all integers appear in the Super Collatz Graph which we also define in this thesis. Finally, we generalize the additive property of the Collatz Graph to the qx + r problem.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Mathematics

Grantor dc:publisher

The Ohio State University

Year dc:date

2013

Author dc:creator

• Stout, Deborah Marie Schuda

Contributors dc:contributor

• Clemens, Herbert

• Mathematics

Statement dc:rights

• unrestricted
• This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.

Language dc:language

English

Repository record dc:identifier

http://rave.ohiolink.edu/etdc/view?acc_num=osu1366226820

OAI identifier oai:identifier

oai:etd.ohiolink.edu:osu1366226820