Constructing highly arc transitive digraphs using a direct fibre product

被引:3
作者
Neumann, Christoph [1 ]
机构
[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria
基金
奥地利科学基金会;
关键词
05C63; Highly arc transitive digraph; Property Z; Direct fibre product;
D O I
10.1016/j.disc.2013.08.019
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce a construction of highly arc transitive digraphs using a direct fibre product. This product generalizes some known classes of highly arc transitive digraphs but also allows us to construct new ones. We use the product to obtain counterexamples to a conjecture advanced by Cameron, Praeger and Wormald on the structure of certain highly arc transitive digraphs. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:2816 / 2829
页数:14
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