| D. Kratsch, T. Kloks, H. M uller, Computing the toughness and the scattering number for interval and other graphs, IRISA Report PI-806, p. 19, 1994. |
....if and only if t (G) 1, and 0 if and only if t (G) 1. Since for any proper subset S of vertices of a Hamiltonian graph G # S , for such a graph s(G) 0 (or equivalently t (G) 1) We note that the problem: Given a graph G and an integer k, decide whether s(G) k is NP complete (see [27]) For a graph G we shall denote by #(G) the minimum number of elementary disjoint paths which cover V (G) i.e. the minimum path partition number of G, or simply the path number of G) Skupie n [32] studied some graphs whose scattering number is #(G) and Jung [25] studied relationships between ....
D. Kratsch, T. Kloks, H. M uller, Computing the toughness and the scattering number for interval and other graphs, IRISA Report PI-806, p. 19, 1994.
....and s(G) 0 if and only if t (G) 1. Since for any proper subset S of vertices of a Hamiltonian graph G c(G S) # S , for such a graph s(G) # 0 (or equivalently t (G) # 1) We note that the problem: Given a graph G and an integer k, decide whether s(G) # k is NP complete (see [27]) For a graph G we shall denote by #(G) the minimum number of elementary disjoint paths which cover V (G) i.e. the minimum path partition number of G, or simply the path number of G) Skupie n [32] studied some graphs whose scattering number is #(G) and Jung [25] studied relationships between ....
D. Kratsch, T. Kloks, H. M uller, Computing the toughness and the scattering number for interval and other graphs, IRISA Report PI-806, p. 19, 1994.
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