Question: In a dynamic connectivity problem there is a set of vertices that can be any object ( computers in a network, people in social network,

In a dynamic connectivity problem there is a set of vertices that can be any object (computers in a network, people in social network, elements in a mathematical set, ...).
The two basic operations that can be executed on these vertices are:
add edge: connect two vertices
connection query: is there a path connecting two vertices?
Which algorithms can perform these two operations and solve the connectivity problem?

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