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Applications of Rapidly Mixing Markov Chains to Problems in Graph Theory

In this dissertation the results of Jerrum and Sinclair on the conductance of Markov chains are used to prove that almost all generalized Steinhaus graphs are rapidly mixing and an algorithm for the uniform generation of 2 - (4k + 1,4,1) cyclic Mendelsohn designs is developed.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc277740
Date08 1900
CreatorsSimmons, Dayton C. (Dayton Cooper)
ContributorsBrand, Neal E., Monticino, Michael G., Das, Sajal K., Bilyeu, Russell Gene, Kung, Joseph P. S.
PublisherUniversity of North Texas
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
Formatiii, 72 leaves, Text
RightsPublic, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved., Simmons, Dayton C. (Dayton Cooper)

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