日本建築学会計画系論文集
Online ISSN : 1881-8161
Print ISSN : 1340-4210
ISSN-L : 1340-4210
最短木および階層を有する木の長さに関する考察
笠原 一人古山 正雄
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ジャーナル フリー

1998 年 63 巻 504 号 p. 155-161

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The purpose of this study is to present an expected value of the minimum length of the network connectivity among cities. We study two patterns. One is the minimum spanning tree on the n-points scattered on a rectangle. The expected value of the length is between 0.578√<n> and 0.707√<n>. The measured value is about 0.68√<n> by using computer. Another topic is the hierarchical tree on the n-points scattered on the p-areas divided rectangle. When the relation is p^3=(n/2)^2, the length of the hierarchical tree can be minimized.
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© 1998 日本建築学会
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