Statements (18)
Predicate | Object |
---|---|
gptkbp:instanceOf |
Graph Theory Concept
|
gptkbp:alsoKnownAs |
Articulation Point
|
gptkbp:appliesTo |
gptkb:Undirected_Graph
|
gptkbp:compatibleWith |
Directed Graph (in general)
|
gptkbp:definedIn |
gptkb:Graph_Theory
|
gptkbp:defines |
A vertex whose removal increases the number of connected components of a graph.
|
gptkbp:example |
In a star graph, the center is a cut vertex.
|
https://www.w3.org/2000/01/rdf-schema#label |
Cut Vertex
|
gptkbp:property |
A graph with no cut vertices is called 2-connected.
A tree with more than two vertices always has at least one cut vertex. |
gptkbp:relatedTo |
gptkb:Bridge_(Graph_Theory)
Block (Graph Theory) |
gptkbp:supportsAlgorithm |
Can be found using Depth-First Search (DFS) in linear time.
|
gptkbp:usedIn |
Network Reliability
Connectivity Analysis Decomposition of Graphs |
gptkbp:bfsParent |
gptkb:Connected_Undirected_Graph
|
gptkbp:bfsLayer |
7
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