Groupoids of homogeneous factorisations of graphs
Magister Scientiae - MSc === 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 homo...
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University of the Western Cape
2014
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Online Access: | http://hdl.handle.net/11394/2690 |
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ndltd-netd.ac.za-oai-union.ndltd.org-uwc-oai-etd.uwc.ac.za-11394-26902017-08-02T04:00:09Z Groupoids of homogeneous factorisations of graphs Okitowamba, Onyumbe Mwambene, Eric Faculty of Science Algebra Structures and graph theory Groupoid graphs Loop graphs Magister Scientiae - MSc 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. South Africa 2014-02-03T09:43:55Z 2010/07/01 20:57 2010/07/01 2014-02-03T09:43:55Z 2009 Thesis http://hdl.handle.net/11394/2690 en University of the Western Cape University of the Western Cape |
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en |
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Algebra Structures and graph theory Groupoid graphs Loop graphs |
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Algebra Structures and graph theory Groupoid graphs Loop graphs Okitowamba, Onyumbe Groupoids of homogeneous factorisations of graphs |
description |
Magister Scientiae - MSc === 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. === South Africa |
author2 |
Mwambene, Eric |
author_facet |
Mwambene, Eric Okitowamba, Onyumbe |
author |
Okitowamba, Onyumbe |
author_sort |
Okitowamba, Onyumbe |
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 |
publisher |
University of the Western Cape |
publishDate |
2014 |
url |
http://hdl.handle.net/11394/2690 |
work_keys_str_mv |
AT okitowambaonyumbe groupoidsofhomogeneousfactorisationsofgraphs |
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1718510444204785664 |