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== Important limitations ==
 
== Important limitations ==
重要限制
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==重要限制==
 
Centrality indices have two important limitations, one obvious and the other subtle. The obvious limitation is that a centrality which is optimal for one application is often sub-optimal for a different application. Indeed, if this were not so, we would not need so many different centralities. An illustration of this phenomenon is provided by the [[Krackhardt kite graph]], for which three different notions of centrality give three different choices of the most central vertex.<ref>{{cite journal|title=Assessing the Political Landscape: Structure, Cognition, and Power in Organizations|first=David|last=Krackhardt|authorlink=David Krackhardt|journal=Administrative Science Quarterly|volume=35|issue=2|date=June 1990|pages=342–369|doi=10.2307/2393394|jstor=2393394}}</ref>
 
Centrality indices have two important limitations, one obvious and the other subtle. The obvious limitation is that a centrality which is optimal for one application is often sub-optimal for a different application. Indeed, if this were not so, we would not need so many different centralities. An illustration of this phenomenon is provided by the [[Krackhardt kite graph]], for which three different notions of centrality give three different choices of the most central vertex.<ref>{{cite journal|title=Assessing the Political Landscape: Structure, Cognition, and Power in Organizations|first=David|last=Krackhardt|authorlink=David Krackhardt|journal=Administrative Science Quarterly|volume=35|issue=2|date=June 1990|pages=342–369|doi=10.2307/2393394|jstor=2393394}}</ref>
    
Centrality indices have two important limitations, one obvious and the other subtle. The obvious limitation is that a centrality which is optimal for one application is often sub-optimal for a different application. Indeed, if this were not so, we would not need so many different centralities. An illustration of this phenomenon is provided by the Krackhardt kite graph, for which three different notions of centrality give three different choices of the most central vertex.
 
Centrality indices have two important limitations, one obvious and the other subtle. The obvious limitation is that a centrality which is optimal for one application is often sub-optimal for a different application. Indeed, if this were not so, we would not need so many different centralities. An illustration of this phenomenon is provided by the Krackhardt kite graph, for which three different notions of centrality give three different choices of the most central vertex.
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中心性指数有两个重要的局限性,一个是显而易见的,另一个是微妙的。显而易见的局限性是,对于一个应用程序最优的中心性对于另一个应用程序常常是次优的。事实上,如果不是这样,我们就不需要这么多不同的中央集权。克拉克哈特风筝图为这一现象提供了一个例证,对于这个图,三个不同的中心性概念给出了三个最中心顶点的不同选择。
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'''<font color="#ff8000"> 中心性Centrality</font>'''指标有两个重要的局限性,一个是显而易见的,另一个是微妙的。显而易见的局限性是,对于一个应用最优的中心性对于另一个应用常常是次优的。事实上,如果不是这样,我们就不需要这么多不同的中心性。克拉克哈特风筝图为这一现象提供了一个例证,对于这个图,三个不同的中心性概念给出了三个最中心顶点的不同选择。
     
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