Constructions of Self-complementary Circulants with No Multiplicative Isomorphisms

نویسندگان

  • Robert Jajcay
  • Cai Heng Li
چکیده

The main topic of the paper is the question of the existence of self-complementary Cayley graphs Cay(G; S) with the property S 6 = G # n S for all 2 Aut(G). We answer this question in the positive by constructing an innnite family of self-complementary circulants with this property. Moreover, we obtain a complete classiication of primes p for which there exist self-complementary circulants of order p 2 with this property.

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عنوان ژورنال:
  • Eur. J. Comb.

دوره 22  شماره 

صفحات  -

تاریخ انتشار 2001