Geodesic
The largest pure partial planes of order 6 have size 25
Yibo Gao1
1Massachusetts Institute of Technology
The electronic journal of combinatorics, Tome 25 (2018) no. 4
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In this paper, we prove that the largest pure partial plane of order 6 has size 25. At the same time, we classify all pure partial planes of order 6 and size 25 up to isomorphism. Our major approach is computer search. The search space is very large so we use combinatorial arguments to rule out some of the cases. For the remaining cases, we subdivide each search by phases and use multiple checks to reduce search space via symmetry.
DOI : 10.37236/6473
Classification : 05B25
Mots-clés : pure partial planes, finite projective planes

Yibo Gao  1

1 Massachusetts Institute of Technology 
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Yibo Gao. The largest pure partial planes of order 6 have size 25. The electronic journal of combinatorics, Tome 25 (2018) no. 4. doi: 10.37236/6473

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