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connected graph

   Also found in: Wikipedia 0.01 sec.
connected graph [kə′nek·təd ′graf]
(mathematics)
A graph in which each pair of points is connected by a path.

(mathematics)connected graph - 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.


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A basic property shared by the classes of outerplanar, series-parallel and planar graphs is that a connected graph G is in the class if and only if the 2-connected components of G are also in the class.
A connected graph G is called a chestnut if it has a representation in the form G = [gamma] + [[alpha].
It implements a sophisticated node-link drawing capability that allows custom screen objects to serve as parts of a connected graph.
 
 
 
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