Combinatorics and Graph Theory


Hamiltonian Paths in Graphs

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.

Download: PDF

Submission history

[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

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