Arc reversal in nonhamiltonian circulant oriented graphs
نویسنده
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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ورودعنوان ژورنال:
- Journal of Graph Theory
دوره 49 شماره
صفحات -
تاریخ انتشار 2005