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删除80字节 、 2020年10月22日 (四) 20:11
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==Proof by contradiction==
 
==Proof by contradiction==
'''<font color="#FF8000">矛盾证明 Proof By Contradiction </font>'''<br>
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==反证法==
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Let node B be a local bridge between nodes A and C such that there is no weak tie between the nodes involved. Therefore, B has a strong tie to both A and C. By the definition of Strong Triadic Closure, a weak tie would develop between nodes A and C. However, this contradicts the fact that B is a local gatekeeper. Thus at least one of the nodes involved in a local bridge needs to be a weak tie to prevent triadic closure from occurring.
 
Let node B be a local bridge between nodes A and C such that there is no weak tie between the nodes involved. Therefore, B has a strong tie to both A and C. By the definition of Strong Triadic Closure, a weak tie would develop between nodes A and C. However, this contradicts the fact that B is a local gatekeeper. Thus at least one of the nodes involved in a local bridge needs to be a weak tie to prevent triadic closure from occurring.
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假设节点B是节点A和C之间的本地桥梁,以使所涉及的节点之间没有弱联系。 因此,B与A和C都具有牢固的联系。根据“强三元闭包性”的定义,节点A和C之间将形成弱联系。但是,这与B是本地网守的事实相矛盾。 因此,本地网桥中涉及的至少一个节点需要是弱连接,以防止三元闭包的发生。
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假设节点B是节点A和C之间的局部桥,则所涉及的节点之间没有弱联系。 如果B与A和C之间均具有强联系,则根据强三元闭包性质的定义,节点A和C之间将形成弱联系。但是,这与B是局部桥的事实相矛盾。 因此,局部桥涉及的至少一个节点需要是弱联系,以防止三元闭包的产生。
    
==References==
 
==References==
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