On the Size of Induced Acyclic Subgraphs in Random Digraphs

نویسندگان

  • Joel H. Spencer
  • C. R. Subramanian
چکیده

Let D ∈ D(n, p) denote a simple random digraph obtained by choosing each of the ` n 2 ́ undirected edges independently with probability 2p and then orienting each chosen edge independently in one of the two directions with equal probability 1/2. Let mas(D) denote the maximum size of an induced acyclic subgraph in D. We obtain tight concentration results on the size of mas(D). Precisely, we show that

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عنوان ژورنال:
  • Discrete Mathematics & Theoretical Computer Science

دوره 10  شماره 

صفحات  -

تاریخ انتشار 2008