Non-Cayley-isomorphic self-complementary circulant graphs

Non-CI self-complementary circulant graphs of prime-squared order are constructed and enumerated. It is shown that for prime p, there exists a self-complementary circulant graph of order p2 not Cayley isomorphic to its complement if and only if p ≡ 1 (mod 8). Such graphs are also enumerated. © 2000 John Wiley & Sons, Inc. J Graph Theory 34: 128–141, 2000