Mathematics, Department of

 

Department of Mathematics: Dissertations, Theses, and Student Research

First Advisor

Stephen G. Hartke

Second Advisor

N. V. Vinodchandran

Date of this Version

Spring 3-14-2012

Document Type

Dissertation

Comments

A dissertation Presented to the Faculty of The Graduate College at the University of Nebraska In Partial Fulfilment of Requirements For the Degree of Doctor of Philosophy, Major: Mathematics and Computer Science, Under the Supervision of Professors Stephen G. Hartke and N. V. Vinodchandran. Lincoln, Nebraska: May, 2012

Copyright (c) 2012 Derrick Stolee

Abstract

Computational combinatorics involves combining pure mathematics, algorithms, and computational resources to solve problems in pure combinatorics. This thesis provides a theoretical framework for combinatorial search, which is then applied to several problems in combinatorics. Some results in space-bounded computational complexity are also presented.

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