Since the automaton is finite, there are a terminal strongly connected component S' [member of] [?

0], w) [member of] S' and S' is a terminal strongly connected component, Inf (A; [xi]) [subset or equal to] [S.

A Web-based social network, on the other hand, considers many complex structures like cycles, nested cycles,

strongly connected components etc.

show that the algorithm described above runs in time O(m[Alpha](m, n)+km), where k is the number of levels at which the

strongly connected component algorithm had to be invoked.

The above procedure requires

strongly connected component arc capacities to be at least 2[Delta] to route the total of [Delta] flow through.

Since the automaton is finite, there are a terminal

strongly connected component S' [member of] T, a state s' [member of] S" and a v [member of] X* such that [delta](s", v) = s'.

The interval [x, x], by definition, is the

strongly connected component of the vertex x in D.

In the definition of

strongly connected component in Section 2, justification for a reachability operator has already been discussed.

25] to find a small vertex subset S [subset or equal to] W in G[W] with the property that every

strongly connected component of G[W] - S has at most 3/4 [absolute value of W] vertices.

Its vertices are the

strongly connected components [C.

Proposition 3 For every (multi)graph [GAMMA], there exists k such that every

strongly connected component of [[GAMMA].

into its

strongly connected components, and then taking the quotient digraph, (so two parts are connected by an arc if and only if there is an arc between the corresponding vertex sets in [?