Ivan Shishkin, Birch Grove

Connected graph

Definition / Combinatorics / Usable

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Usable. This concept is clear enough to use, but has not yet been reviewed by another trusted user.

A graph is said to be connected if and only if for any pair of vertices of this graph, there exists a sequence of adjacent edges that connect the first vertex to the second.

If the graph is directed, one adds the condition that this path also need to be directed.

Practice this concept with exercises

  • Soit GG un graphe à nn sommets. Montrer que si GG est connexe, alors il possède au moins n−1n-1 arêtes.

    Open exercise
Problems using this concept (1)
Eulerian path in a finite graph
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