On the number of connected convex subgraphs of a connected acyclic digraph

نویسندگان

  • Gregory Gutin
  • Anders Yeo
چکیده

A digraph D is connected if the underlying undirected graph of D is connected. A subgraph H of an acyclic digraph D is convex if there is no directed path between vertices of H which contains an arc not in H. We find the minimum and maximum possible number of connected convex subgraphs in a connected acyclic digraph of order n. Connected convex subgraphs of connected acyclic digraphs are of interest in the area of modern embedded processors technology.

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 157  شماره 

صفحات  -

تاریخ انتشار 2009