Overlarge sets and partial geometries |
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| Authors: | Rudolf Mathon Anne Penfold Street |
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| Affiliation: | (1) Department of Computer Science, University of Toronto, M5S 1A4 Toronto, Ontario, Canada;(2) Centre for Combinatorics Department of Mathematics, The University of Queensland, 4072 Brisbane, Australia |
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| Abstract: | We extend our earlier work on overlarge sets of Fano planes, obtaining three results of particular interest. We find seven new partial geometries pg(8,7,4) and nine new strongly regular graphs, by means of switching cliques of points with spreads of lines. One of these new strongly regular graphs supports four different partial geometries. Then we give a new construction of the recently discovered eightfold cover of the complete graph K16.Supported by NSERC grant OGP0008651Supported by ARC grant A49130102 and an Australian Senior Research Fellowship |
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