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Optimal Orientations of the Generalized Cycles

Optimal Orientations of the Generalized Cycles
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摘要 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. 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.
作者 孙良 卜卿
机构地区 School of Science School
出处 《Journal of Beijing Institute of Technology》 EI CAS 2005年第3期332-335,共4页 北京理工大学学报(英文版)
关键词 generalized cycle DIAMETER strong orientation generalized cycle diameter strong orientation
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参考文献1

  • 1K.M. Koh,E.G. Tay. Optimal Orientations of Graphs and Digraphs: A Survey[J] 2002,Graphs and Combinatorics(4):745~756 被引量:1

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