Arc reversal in nonhamiltonian circulant oriented graphs

نویسنده

  • Jozef Jirásek
چکیده

Locke and Witte in 9] have described a class of nonhamiltonian circulant digraphs. We show that for innnitely many of them the reversal of any arc produces a hamil-tonian cycle. This solves an open problem stated in 4]. We use these graphs to construct counterexamples to Add am's conjecture. The smallest one Cay(Z 12 ; 2; 3; 8) 4 is the counterexample with the smallest known number of vertices.

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عنوان ژورنال:
  • Journal of Graph Theory

دوره 49  شماره 

صفحات  -

تاریخ انتشار 2005