For example, the graph shown in the illustration at right has three connected components.
Do two undirected graphs have the same number of connected components?
Does a graph have an even number of connected components?
Then the fiber has at most n connected components.
A related but weaker concept is that of a strongly connected component.
Thus one seeks to determine if the good and bad states are in different connected components of the graph.
This proves that the complement of the curve has at most two connected components.
All four of its connected components are not simply connected.
The escaping set always has at least one connected component.
The algorithm identifies and marks the connected components in a single pass.