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https://hdl.handle.net/2142/21699
Description
Title
1-Factorizations of tensor products of graphs
Author(s)
George, John Clay
Issue Date
1991
Doctoral Committee Chair(s)
West, Douglas B.
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Date of Ingest
2011-05-07T13:16:30Z
Keyword(s)
Mathematics
Language
eng
Abstract
We determine the existence of 1-factorizations of certain tensor products of graphs. The properties of these 1-factorizations are of interest; to study them, we develop results about the automorphism group of tensor products of graphs. The 1-factors of a particular product are analyzed extensively, and a new concept, the factor graph of a graph, is introduced.
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