Groupoids of homogeneous factorisations of graphs.

Groupoids of homogeneous factorisations of graphs.

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<p>This thesis is a study on the confluence of algebraic structures and graph theory. Its aim is to consider groupoids from factorisations of complete graphs. We are especially interested in the cases where the factors are isomorphic. We analyse the loops obtained from homogeneous factorisatio...

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Main Author: Onyumbe, Okitowamba.
Format: Others
Language:English
Published: 2009
Subjects:
Algebra
Structures and graph theory
Groupoid graphs
Loop graphs.
Online Access:http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_3135_1278010623
id ndltd-UNWC-oai-UWC_ETD-http%3A%2F%2Fetd.uwc.ac.za%2Findex.php%3Fmodule%3Detd%26action%3Dviewtitle%26id%3Dgen8Srv25Nme4_3135_1278010623
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spelling ndltd-UNWC-oai-UWC_ETD-http%3A%2F%2Fetd.uwc.ac.za%2Findex.php%3Fmodule%3Detd%26action%3Dviewtitle%26id%3Dgen8Srv25Nme4_3135_12780106232013-01-08T12:42:20Z Groupoids of homogeneous factorisations of graphs. Onyumbe, Okitowamba. Algebra Structures and graph theory Groupoid graphs Loop graphs. <p>This thesis is a study on the confluence of algebraic structures and graph theory. Its aim is to consider groupoids from factorisations of complete graphs. We are especially interested in the cases where the factors are isomorphic. We analyse the loops obtained from homogeneous factorisations and ask if homogeneity is reflected in the kind of loops that are obtained. In particular, we are interested to see if we obtain either groups or quasi-associative Cayley sets from these loops. November 2008.</p> 2009 Thesis and dissertation Pdf http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_3135_1278010623 English ZA Copyright: University of the Western Cape
collection NDLTD
language English
format Others
sources NDLTD
topic Algebra
Structures and graph theory
Groupoid graphs
Loop graphs.
spellingShingle Algebra
Structures and graph theory
Groupoid graphs
Loop graphs.
Onyumbe, Okitowamba.
Groupoids of homogeneous factorisations of graphs.
description <p>This thesis is a study on the confluence of algebraic structures and graph theory. Its aim is to consider groupoids from factorisations of complete graphs. We are especially interested in the cases where the factors are isomorphic. We analyse the loops obtained from homogeneous factorisations and ask if homogeneity is reflected in the kind of loops that are obtained. In particular, we are interested to see if we obtain either groups or quasi-associative Cayley sets from these loops. November 2008.</p>
author Onyumbe, Okitowamba.
author_facet Onyumbe, Okitowamba.
author_sort Onyumbe, Okitowamba.
title Groupoids of homogeneous factorisations of graphs.
title_short Groupoids of homogeneous factorisations of graphs.
title_full Groupoids of homogeneous factorisations of graphs.
title_fullStr Groupoids of homogeneous factorisations of graphs.
title_full_unstemmed Groupoids of homogeneous factorisations of graphs.
title_sort groupoids of homogeneous factorisations of graphs.
publishDate 2009
url http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_3135_1278010623
work_keys_str_mv AT onyumbeokitowamba groupoidsofhomogeneousfactorisationsofgraphs
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