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Graphing Beyond Collatz

Stout, Deborah Marie Schuda

Abstract Details

2013, Master of Science, Ohio State University, Mathematics.
In this thesis, we present a simple additive property found in the Collatz Graph. We also discuss the Combined Collatz Graph, as defi ned in [3], defi ne 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 de fine in this thesis. Finally, we generalize the additive property of the Collatz Graph to the qx + r problem.
Herbert Clemens (Advisor)
Bart Snapp (Other)
James Cogdell (Committee Member)

Recommended Citations

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)