Crinion, Tim (2013) Chamber graphs of some geometries related to the Petersen graph. Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.
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Abstract
In this thesis we study the chamber graphs of the geometries Gamma(A(2n+1)), Gamma(3A7), Gamma(L(2,11)) and Gamma(L(2,25)) which are related to the Petersen graph (see reference [13]). We find and prove the diameter of all these chamber graphs and ask what chambers look like if they are as far apart as possible. We find the full automorphism group of all these chamber graphs.
| Item Type: | Thesis (Doctoral) |
|---|---|
| Additional Information: | Supervised by Peter Rowley. |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 05 Combinatorics MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations |
| Depositing User: | Tim Crinion |
| Date Deposited: | 20 Dec 2013 |
| Last Modified: | 20 Oct 2017 14:13 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/2085 |
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