Double-super-connected digraphs

Double-super-connected digraphs
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双超连通有向图

DOI:
10.1016/j.dam.2010.02.004
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发表时间:
2010-05
影响因子:
1.1
通讯作者:
Zhang, Zhao
Zhang, Zhao
中科院分区:
数学3区
文献类型:
--
作者:
Liu, Juan;Meng, Jixiang;Zhang, Zhao

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A strongly connected digraph D is said to be super-connected if every minimum vertex-cut is the out-neighbor or in-neighbor set of a vertex. A strongly connected digraph D is said to be double-super-connected if every minimum vertex-cut is both the out-neighbor set of a vertex and the in-neighbor set of a vertex. In this paper, we characterize the double-super-connected line digraphs, Cartesian product and lexicographic product of two digraphs. Furthermore, we study double-super-connected Abelian Cayley digraphs and illustrate that there exist double-super-connected digraphs for any given order and minimum degree.
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