By Georgiev P., Pardalos P., Theis F.
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G¨ orke, and D. 2 GHz machine. 3 Computational Results Experiments. As a reference to the benchmark, we compare our ﬁndings to an established clustering algorithm, Markov Clustering (MCL) , The results of the experiments with respect to performance and coverage are given in Figure 4 and 5, respectively. g. g. inter-cluster conductance, see ) and structural observations due to space limitations. At a ﬁrst glance, the statistical results of the two absolute variants (S− cov and − Sperf ) strongly resemble each other, see Figure 4(c) and 4(d).
He proved that an optimal monotonic search strategy for a digraph needs at most one more cop than the cop number of the digraph and he conjectured that the monotonicity is held for this cops-and-robber game on digraphs. Alspach et al.  proposed four digraph search models in which searchers cannot be removed from digraphs. Yang and Cao  studied two digraph search models which are diﬀerent from this paper in that all searchers and intruders must follow the edge directions when they move along edges.
A k-cycle is a cycle of length k. Similarly, a k + -cycle is a cycle of length at least k. A path component (respectively, cycle component of G is a connected component of G that is a path (respectively, cycle). Note that an isolated vertex of G is not a path component of G. For a function b mapping each vertex v of G to a nonnegative integer, a bmatching of G is a subgraph H of G such that dH (v) ≤ b(v) for all vertices v of H. When b(v) ≤ 1 for all vertices v of G, a b-matching of G is called a matching of G.
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