Skip to Main Content
Frequently Asked Questions
Submit an ETD
Global Search Box
Need Help?
Keyword Search
Participating Institutions
Advanced Search
School Logo
Files
File List
SchudaStoutCollatzThesisFinal.pdf (285.1 KB)
ETD Abstract Container
Abstract Header
Graphing Beyond Collatz
Author Info
Stout, Deborah Marie Schuda
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1366226820
Abstract Details
Year and Degree
2013, Master of Science, Ohio State University, Mathematics.
Abstract
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.
Committee
Herbert Clemens (Advisor)
Bart Snapp (Other)
James Cogdell (Committee Member)
Subject Headings
Mathematics
Recommended Citations
Refworks
EndNote
RIS
Mendeley
Citations
Stout, D. M. S. (2013).
Graphing Beyond Collatz
[Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1366226820
APA Style (7th edition)
Stout, Deborah.
Graphing Beyond Collatz.
2013. Ohio State University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1366226820.
MLA Style (8th edition)
Stout, Deborah. "Graphing Beyond Collatz." Master's thesis, Ohio State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=osu1366226820
Chicago Manual of Style (17th edition)
Abstract Footer
Document number:
osu1366226820
Download Count:
757
Copyright Info
© 2013, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.