ConnectedGraphQ

Available

Test whether a graph is connected (strongly connected for directed graphs)

Forms

ConnectedGraphQ[g]

Verified examples{ConnectedGraphQ[g], Total[VertexDegree[g]] ≥ (VertexCount[g] - 1) / 2} → {False, Total[VertexDegree[g]] >= (-1 + VertexCount[g])/2}

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Topics

Graph Components - Connected Components
Graph Predicates - Global Structural Properties
Graph Properties And Measurements - Structural Properties
New In80 Alphabetical Listing - C
New In80 Mathematics And Algorithms - New Predicates and Properties »

Related

ConnectedComponents ConnectedGraphComponents WeaklyConnectedGraphQ WeaklyConnectedComponents WeaklyConnectedGraphComponents Graph TreeGraph PathGraph TreeGraphQ PathGraphQ EulerianGraphQ AcyclicGraphQ

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