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In this short paper, we characterise graphs of order $pq$ with $p, q$ prime which are self-complementary and vertex-transitive.
Alspach, B., Morris, J. and Vilfred, V., ‘Self-complementary circulant graphs’, Ars Combin.53 (1999), 187–191.Google Scholar
[2]
Beezer, R. A., ‘Sylow subgraphs in self-complementary vertex transitive graphs’, Expo. Math.24(2) (2006), 185–194.Google Scholar
[3]
Fronček, D., Rosa, A. and Širáň, J., ‘The existence of selfcomplementary circulant graphs’, European J. Combin.17 (1996), 625–628.Google Scholar
[4]
Godsil, C. D., ‘On Cayley graphs isomorphisms’, Ars Combin.15 (1983), 231–246.Google Scholar
[5]
Guralnick, R. M., Li, C. H., Praeger, C. E. and Saxl, J., ‘On orbital partitions and exceptionality of primitive permutation groups’, Trans. Amer. Math. Soc.356 (2004), 4857–4872.Google Scholar
[6]
Jajcay, R. and Li, C. H., ‘Constructions of self-complementary circulants with no multiplicative isomorphisms’, European J. Combin.22(8) (2001), 1093–1100.Google Scholar
Li, C. H., ‘On finite graphs that are self-complementary and vertex-transitive’, Australas. J. Combin.18 (1998), 147–155.Google Scholar
[9]
Li, C. H. and Praeger, C. E., ‘Self-complementary vertex-transitive graphs need not be Cayley graphs’, Bull. Lond. Math. Soc.33(6) (2001), 653–661.Google Scholar
[10]
Li, C. H. and Praeger, C. E., ‘On partitioning the orbitals of a transitive permutation group’, Trans. Amer. Math. Soc.355 (2003), 637–653.Google Scholar
[11]
Liskovets, V. and Poschel, R., ‘Non-Cayley-isomorphic self-complementary circulant graphs’, J. Graph Theory34 (2000), 128–141.3.0.CO;2-I>CrossRefGoogle Scholar