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...
| Main Author: | |
|---|---|
| Other Authors: | |
| Language: | en |
| Published: |
University of the Western Cape
2014
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/11394/2690 |
| Summary: | 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 |
|---|