Mathematica > Mathematics and Algorithms > Graphs & Networks > Graph Predicates and Properties > ConnectedGraphQ
Mathematica > Visualization and Graphics > Graphs & Networks > Graph Predicates and Properties > ConnectedGraphQ
BUILT-IN MATHEMATICA SYMBOL

ConnectedGraphQ

ConnectedGraphQ[g]
yields True if the graph g is connected, and False otherwise.

DetailsDetails

  • ConnectedGraphQ works for any graph object.
  • A graph is connected if there is a path between every pair of vertices.

ExamplesExamplesopen allclose all

Basic Examples (2)Basic Examples (2)

Test whether a graph is connected:

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A graph with isolated vertices is not connected:

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Scope (4)Scope (4)

Properties & Relations (5)Properties & Relations (5)

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