Arc reversal in nonhamiltonian circulant oriented graphs

被引：5
|
作者：
Jirásek, J [1 ]
机构：
[1] Safarik Univ, Dept Comp Sci, Kosice, Slovakia
来源：
JOURNAL OF GRAPH THEORY | 2005年 / 49卷 / 01期
关键词：
hamiltonian cycle; Cayley digraphs; arc reversal;
D O I：
10.1002/jgt.20063
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Locke and Witte described infinite families of nonhamiltonian circulant oriented graphs. We show that for infinitely many of them the reversal of any arc produces a hamiltonian cycle. This solves an open problem stated by Thomassen in 1987. We also use these graphs to construct counterexamples to Adam's conjecture on arc reversal. One of them is a counterexample with the smallest known number of vertices. (c) 2005 Wiley Periodicals, Inc. J Graph Theory 49: 59-68, 2005.
引用
收藏
页码：59 / 68
页数：10
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