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Counterexamples to a conjecture of Lemmermeyer

✍ Scribed by Nigel Boston; Charles Leedham-Green

Publisher: Springer
Year: 1999
Tongue: English
Weight: 51 KB
Volume: 72
Category: Article
ISSN: 0003-889X
DOI: 10.1007/s000130050319

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We give a counterexample to the following conjecture of Douglas D. Grant Cl]: If a positive integer t 3 2 and D is a strict digraph of order 2t such that S+(D) 3 t and S'(D)2 t, then D has an anti-directed hamiltonian cycle. Where S+(D) and 6-(D) denote the minimum indegree and outdegree, respective