Optimal orientations of the generalized cycles are studied. For a graph G, let D(G) be the family of the strong orientations of G,d(G)=min {d(D) D∈D(G) and ρ(G)=d(G)-d(G), whered(G) and d (D) are t...Optimal orientations of the generalized cycles are studied. For a graph G, let D(G) be the family of the strong orientations of G,d(G)=min {d(D) D∈D(G) and ρ(G)=d(G)-d(G), whered(G) and d (D) are the diameters of G and D respectively. Evaluate the value of ρ(G) is evaluated by reduction to absurdity when G is a generalized cycle Cn [Km], and a complete result is obtained.展开更多
文摘Optimal orientations of the generalized cycles are studied. For a graph G, let D(G) be the family of the strong orientations of G,d(G)=min {d(D) D∈D(G) and ρ(G)=d(G)-d(G), whered(G) and d (D) are the diameters of G and D respectively. Evaluate the value of ρ(G) is evaluated by reduction to absurdity when G is a generalized cycle Cn [Km], and a complete result is obtained.