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Automorphism group
Projective Planes
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Projective Planes
bliss
nauty
conauto
saucy
Traces
updated Nov 22, 2012
Canonical label
The pg family from bliss benchmarks distribution. Graphs are grouped by number of vertices.
Timeline
Details of Recent Experiments
All experiments have been run on a MacBookPro (retina), Intel Core i7, 2.66 GHz, 16GB ram, under gcc4.7.
bliss 0.72
nauty 25rc1
conauto 2.0.1saucy 3.0
Traces 2.0 -
Order16 - Non-Desarguesian
bliss
nauty
conauto
saucy
Traces
nauty with invariant cellfano2
updated Nov 22, 2012
Automorphism group
Canonical label
Plane Orbits Group Size P1 6 921,600 P2 3 884,736 P3 6 258,048 P4 3 147,456 P5 8 92,160 P6 8 55,296 The pp family from bliss benchmarks distribution. All graphs are regular bipartite graphs of order 546 and degree 17.Plane Orbits Group Size P7 5 18,432 P8 6 12,288 P9 10 3,840 P10 12 3,456 P11 14 2,304 Timeline
Details of Recent Experiments
All experiments have been run on a MacBookPro (retina), Intel Core i7, 2.66 GHz, 16GB ram, under gcc4.7.
bliss 0.72
nauty 25rc1
conauto 2.0.1saucy 3.0
Traces 2.0 -
Projective Planes - order 25, 27
bliss
nauty
conauto
saucy
Traces
updated Feb 1, 2013
Automorphism group (order 25)
Non-Desarguesian projective planes of order 25 from the pp family. All graphs are regular bipartite graphs. Let s(i) be the size of the group of the i-th graph (1 ≤ i ≤ 192).
Graphs are displayed in decreasing order of their group size, from S = s(1) = 4,800,000 to s = s(192) = 500.
Let σ = S/s; the purple line is σ/s(i).
Automorphism group (order 27)
Non-Desarguesian projective planes of order 27 from the pp family. All graphs are regular bipartite graphs. Graphs are displayed in decreasing order of their group size. Traces' results are shown for both automorphism group and canonical labeling.Timeline
Details of Recent Experiments
All experiments have been run on a MacBookPro (retina), Intel Core i7, 2.66 GHz, 16GB ram, under gcc4.7.
bliss 0.72
nauty 25rc1
conauto 2.0.1saucy 3.0
Traces 2.0 -
Projective Planes - order 25, 27, 64
bliss
nauty
conauto
saucy
Traces
updated Nov 22, 2012
Automorphism group
Canonical label
Three projective planes (order 25, 27, 64, resp.) from the combinatorial family. All graphs are regular bipartite graphs.Plane V E Orbits Group Size P1 1302 16,926 2 1,488,600 P2 1514 21,196 4 122,472 P3 8322 270,465 8 43,352,064 Timeline
Details of Recent Experiments
All experiments have been run on a MacBookPro (retina), Intel Core i7, 2.66 GHz, 16GB ram, under gcc4.7.
bliss 0.72
nauty 25rc1
conauto 2.0.1saucy 3.0
Traces 2.0