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Katz centrality is a generalization of degree centrality. Degree centrality measures the number of direct neighbors, and Katz centrality measures the number of all nodes that can be connected through a path, while the contributions of distant nodes are penalized. Mathematically, it is defined as
 
Katz centrality is a generalization of degree centrality. Degree centrality measures the number of direct neighbors, and Katz centrality measures the number of all nodes that can be connected through a path, while the contributions of distant nodes are penalized. Mathematically, it is defined as
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卡兹中心性<ref>Katz, L. 1953. A New Status Index Derived from Sociometric Index. Psychometrika, 39–43.</ref>是度中心性的推广。度中心性度量的是直接相邻节点的数量,卡兹中心性度量的是通过一条路径可以连接的所有节点的数量,而远处节点的贡献会受到'''<font color="#32CD32"> '削弱 Penalized</font>''。在数学上,它被定义为
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卡兹中心性<ref>Katz, L. 1953. A New Status Index Derived from Sociometric Index. Psychometrika, 39–43.</ref>是度中心性的推广。度中心性度量的是直接相邻节点的数量,卡兹中心性度量的是通过一条路径可以连接的所有节点的数量,而远处节点的贡献会受到削减。在数学上,它被定义为
     
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