Cut Vertex

GPTKB entity

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