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图的平均路径长度和网络直径

于 2020-11-30 发布
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问题描述:平均路径长度是网络中另一个重要的特征度量,他是网络中所有节点对之间的平均最短距离。这里节点间的距离指的是从一个节点要经历的边的最小数目,其中所有节点之间的最大距离称为网络的直径。平均路径长度和直径衡量的是网络的传输性能与效率。平均路径长度的公式为 ,其中dij表示点i和j之间的最短距离(若dij不存在时,dij就不能加入,且分母要相应减1)要求:输入邻接矩阵表示的图,计算其平均路径长度

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