Acyclic digraphs and local hierarchy theory
β Scribed by Adam Berliner; Ulrike Bostelmann; Richard A. Brualdi; Louis Deaett
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 212 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract A natural digraph analog of the graph theoretic concept of βan independent setβ is that of βan acyclic set of vertices,β namely a set not spanning a directed cycle. By this token, an analog of the notion of coloring of a graph is that of decomposition of a digraph into acyclic sets. We
We count labeled acyclic digraphs according to the number sources, sinks, and edges. ## 1. Counting acyclic digraphs by sources Let
## 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