Authors: Atul Mehta
In this paper, we explore the connections between graphs and Turing machines. A method to construct Turing machines from a general undirected graph is provided. Determining whether a Hamiltonian cycle exists is now shown to be equivalent to solving the halting problem. We investigate applications of the halting problem to problems in number theory. A modified version of the classical Turing machine is now developed to solve certain classes of computational problems.
Comments: 7 Pages.
[v1] 2016-08-23 03:30:25 (removed)
[v2] 2016-11-27 23:50:46 (removed)
[v3] 2016-12-03 19:20:21 (removed)
[v4] 2018-05-23 23:44:36 (removed)
[v5] 2018-05-28 01:43:16
Unique-IP document downloads: 694 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.