connected graph

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connected graph

[kə′nek·təd ′graf]
(mathematics)
A graph in which each pair of points is connected by a path.

connected graph

(mathematics)
A graph such that there is a path between any pair of nodes (via zero or more other nodes).

Thus if we start from any node and visit all nodes connected to it by a single edge, then all nodes connected to any of them, and so on, then we will eventually have visited every node in the connected graph.