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A244972
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Orders of primitive groups not synchronizing a rank 3 map.
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0
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3, 9, 21, 27, 45, 81, 153, 243, 441, 495, 729
(list;
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listen;
history;
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internal format)
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OFFSET
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1,1
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COMMENTS
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Also, orders of graphs with clique number and chromatic number 3 which have primitive automorphism groups.
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LINKS
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EXAMPLE
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The graphs on 3^n vertices are the Hamming graphs over 3-letter alphabet; the graphs with 21, 45 and 153 vertices are the line graphs of the 6-cage, 8-cage, and Biggs-Smith graph respectively.
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CROSSREFS
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KEYWORD
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nonn,hard,more
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AUTHOR
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STATUS
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approved
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