Mentor

David Peak

Document Type

Report

Publication Date

5-5-2016

First Page

1

Last Page

14

Abstract

Over The course of the last four years I have researched the consensus problem. I have done so by studying how cellular automata following the 2DGKL rule are able to reach consensus in a verity of ways. There are only certain structures that can form within a network, and these structures can be described and examined directly from the rules that make them up. I have also explored a variety of methods to study the rule including, graph theory and liner algebra representations of the cellular automata. Additionally I collected an analyzed data on symmetry in the rule, dependency on size and boundary conditions. I also have studied alternative rules.

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