Digraph decompositions and Eulerian systems

Digraph decompositions and Eulerian systems
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有向图分解和欧拉系统

DOI:
10.1137/0608028
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发表时间:
1987
期刊:
影响因子:
--
通讯作者:
A. Bouchet
A. Bouchet
中科院分区:
--
文献类型:
--
作者:
A. Bouchet

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介绍了W. Cunningham和作者提出的各向同性系统理论是统一的。一个基本的组合工具是在有向图的顶点处的局部补运算,这是已知的简单图的类似运算的推广。这使我们能够统一在一个单一的类的半脆性有向图特征在于W。坎宁安和设计一个更有效的算法,寻找分裂的有向图。
The theory of digraph decompositions introduced by W. Cunningham and the theory of isotropic systems introduced by the author are unified. A basic combinatorial tool is the operation of local complementation at a vertex of a digraph, a generalization of the similar operation already known for simple graphs. This allows us to unify in a single class the semibrittle digraphs characterized by W. Cunningham and to devise a more efficient algorithm for searching for a split of a digraph.