FACTOID # 146: About one-quarter of all nations drive on the left-hand-side of the road. Most of them are former British colonies.
 
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Encyclopedia > Connected component

Connected components come up in topology and in graph theory, two related branches of mathematics.


  Results from FactBites:
 
Connected space - Wikipedia, the free encyclopedia (832 words)
The components form a partition of the space (that is, they are disjoint and their union is the whole space).
The connected components of a space are disjoint unions of the path-connected components.
The closure of a connected subset is connected.
Connectedness - Wikipedia, the free encyclopedia (765 words)
For example, a path connected topological space is simply connected if each loop (path from a point to itself) in it is contractible; that is, intuitively, if there is essentially only one way to get from any point to any other point.
For example, in graph theory, a connected graph is one from which we must remove at least one vertex to create a disconnected graph.
The connectivity of a graph is the minimum number of vertices that must be removed, to disconnect it.
  More results at FactBites »


 
 

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