THE EVALUATION OF TREE GRAPH IN REGIONAL NETWORK

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  • FURUYAMA MASAO
    Department of Housing and Environmental Design Kyoto Institute of Technology

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  • 地域結合関係における木構造
  • チイキ ケツゴウ カンケイ ニ オケル モッコウゾウ

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Abstract

We define the index JJ, to evaluate the inter-city network. The definition of U is given by (Total Sum of the Gravity on a Network)/(Total Length of a Network). The numerator of U implies the utility of a network and the denominator implies the construction cost of a network. From this point of view, JJ is the expression for the economical effect of a network. By index U, we compare the different types of networks on regional science, and the superiority of tree graph is proved. In addition, we analyze the tree chromatic number of a plane graph and JR railway network in Kinki region. Together with these informations, we can conclude that the role of tree graph in regional network cannot be under-estimated.

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