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| dc.contributor.advisor | Broere, Izak | |
| dc.contributor.coadvisor | Vetrik, Tomas | |
| dc.contributor.postgraduate | Matsoha, Moroli David Vusi | |
| dc.date.accessioned | 2014-02-07T10:04:41Z | |
| dc.date.available | 2014-02-07T10:04:41Z | |
| dc.date.created | 2014 | |
| dc.date.issued | 2013 | |
| dc.description | Dissertation (MSc)--University of Pretoria, 2013. | en_US |
| dc.description.abstract | Lattices of hereditary properties of nite graphs have been extensively studied. We investigate the lattice L of induced-hereditary properties of countable graphs. Of interest to us will be some of the members of L. Much of our focus will be on hom-properties. We analyze their behaviour and consider their link to solving the long standing Hedetniemi Conjecture. We then discuss universal graphs and construct a universal graph for hom-properties. We then use these universal graphs to prove a theorem by Szekeres and Wilf. Lastly we off er a new proof of a theorem by Du ffus, Sands and Woodrow. | en_US |
| dc.description.availability | Unrestricted | |
| dc.description.department | Mathematics and Applied Mathematics | en_US |
| dc.identifier.citation | Matsoha, MDV 2013, Lattices of properties of countable graphs and the Hedetniemi Conjecture, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd<http://hdl.handle.net/2263/33313> | |
| dc.identifier.other | C14/4/167/gm | |
| dc.identifier.uri | http://hdl.handle.net/2263/33313 | |
| dc.language.iso | en | en_US |
| dc.publisher | University of Pretoria | en_ZA |
| dc.rights | © 2013 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. | en_US |
| dc.subject | Lattice theory | en_US |
| dc.subject | Graph theory | |
| dc.subject | UCTD | en_US |
| dc.title | Lattices of properties of countable graphs and the Hedetniemi Conjecture | en_US |
| dc.type | Dissertation | en_US |
