Large dicliques in a directed inhomogeneous random graph
β Scribed by Shang, Yilun
- Book ID
- 127314121
- Publisher
- Taylor and Francis Group
- Year
- 2013
- Tongue
- English
- Weight
- 210 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0020-7160
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π 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 Ξ³ \* 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, Ξ³ \*
We consider the following probabilistic model of a graph on n labeled vertices. ## Ε½ . First choose a random graph G n, 1r2 , and then choose randomly a subset Q of vertices of size k and force it to be a clique by joining every pair of vertices of Q by an edge. The problem is to give a polynomia