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...

Full description

Bibliographic Details
Main Author: Okitowamba, Onyumbe
Other Authors: Mwambene, Eric
Language:en
Published: University of the Western Cape 2014
Subjects:
Online Access:http://hdl.handle.net/11394/2690
id ndltd-netd.ac.za-oai-union.ndltd.org-uwc-oai-etd.uwc.ac.za-11394-2690
record_format oai_dc
spelling 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
collection NDLTD
language en
sources NDLTD
topic Algebra
Structures and graph theory
Groupoid graphs
Loop graphs
spellingShingle 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
_version_ 1718510444204785664