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→Proof by contradiction
==Proof by contradiction==
==Proof by contradiction==
==反证法==
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.
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==