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Better sleep quality was weakly connected to frequent physical activity in nature, but the connection was outweighed by other factors.
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We say that two vertices are weakly connected if there exists a connected path between two vertices when all directed edges are replaced with undirected edges.
Note that in the directed case it is sufficient to ensure only weak connectivity, as a balanced graph is weakly connected if and only if it is strongly connected.
The scale-free networks are characterized by a highly skewed distribution of contacts so that most of the nodes are weakly connected and a small number of nodes have very high connectivity.
It is proved that when the undirected graph is connected or the balanced digraph is weakly connected, consensus of the network can be realized.
G is weakly connected.
Assume that G is weakly connected.
Furthermore, G is weakly connected if G ˜ is connected.
Moreover, G is weakly connected if G ˜ is connected.
G is weakly connected if (widetilde{G}) is connected.
If G is weakly connected, then [ z 0 ] G ˜ : = X.
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