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Title: Symmetric and semisymmetric graphs
Author: Morgan, G. L.
ISNI:       0000 0004 2748 878X
Awarding Body: University of Birmingham
Current Institution: University of Birmingham
Date of Award: 2013
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This thesis is an investigation into symmetric and semisymmetric graphs of prime valency. Our approach is via amalgams of groups and coverings of such graphs by trees. We develop theoretical and computational methods to inform this problem. In the case of symmetric graphs of valency five we find that there are twenty five finite faithful amalgams, in the case of semisymmetric graphs of valency five we find there are one hundred and five finite faithful amalgams. We determine presentations for the universal completions of such amalgams and find completions in finite groups.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics