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University of Illinois at Urbana-Champaign

1-Factorizations of tensor products of graphs

Abstract

dc:description

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.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mathematics
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2011

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • George, John Clay
Contributors dc:contributor
  • West, Douglas B.

Subjects

dc:subject × 1

Rights

dc:rights
Statement dc:rights
  • Copyright 1991 George, John Clay
Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
AAI9210812
(UMI)AAI9210812
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/21699

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

George, John Clay. 1-Factorizations of tensor products of graphs. Dissertation thesis, University of Illinois at Urbana-Champaign, 2011. http://hdl.handle.net/2142/21699