Bounded degree acyclic decompositions of digraphs
نویسنده
چکیده
An acyclic decomposition of a digraph is a partition of the edges into acyclic subgraphs. Trivially every digraph has an acyclic decomposition into two subgraphs. It is proved that for every integer sX2 every digraph has an acyclic decomposition into s subgraphs such that in each subgraph the outdegree of each vertex v is at most degðvÞ s 1 l m : For all digraphs this degree bound is optimal. r 2003 Elsevier Inc. All rights reserved.
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. B
دوره 90 شماره
صفحات -
تاریخ انتشار 2004