## Abstract It is easily shown that every digraph with __m__ edges has a directed cut of size at least __m__/4, and that 1/4 cannot be replaced by any larger constant. We investigate the size of the largest directed cut in __acyclic__ digraphs, and prove a number of related results concerning cuts
Maximum directed cuts in digraphs with degree restriction
✍ Scribed by Jenö Lehel; Frédéric Maffray; Myriam Preissmann
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 173 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0364-9024
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✦ Synopsis
Abstract
For integers m, k≥1, we investigate the maximum size of a directed cut in directed graphs in which there are m edges and each vertex has either indegree at most k or outdegree at most k. © 2009 Wiley Periodicals, Inc. J Graph Theory
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