Transforming a cyclic directed graph into an acyclic graph
โ Scribed by V. V. Filippovich
- Publisher
- Springer US
- Year
- 1975
- Tongue
- English
- Weight
- 238 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1573-8337
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let a random directed acyclic graph be defined as being obtained from the random graph G n p by orienting the edges according to the ordering of vertices. Let ฮณ \* n be the size of the largest (reflexive, transitive) closure of a vertex. For p = c log n /n, we prove that, with high probability, ฮณ \*
Let D = (V1, V2; A) be a directed bipartite graph with II/11 = 11/21 = n ~> 2. Suppose that do(x) + do(y) >~ 3n + 1 for all xe I/1 and ye V2. Then D contains two vertex-disjoint directed cycles of lengths 2nl and 2n2, respectively, for any positive integer partition n = n~ + n2. Moreover, the condit