K-vertex-connected graph - significado y definición. Qué es K-vertex-connected graph
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Qué (quién) es K-vertex-connected graph - definición


K-vertex-connected graph         
  • A graph with connectivity 4.
GRAPH THAT CANNOT BE DISCONNECTED BY THE DELETION OF FEWER THAN K VERTICES
K-connected graph; Vertex connectivity
In graph theory, a connected graph is said to be -vertex-connected (or -connected) if it has more than vertices and remains connected whenever fewer than vertices are removed.
Biconnected graph         
  • A biconnected graph on four vertices and four edges
  • A graph that is not biconnected. The removal of vertex x would disconnect the graph.
  • A biconnected graph on five vertices and six edges
  • A graph that is not biconnected. The removal of vertex x would disconnect the graph.
TYPE OF GRAPH
Bi-connected graph
In graph theory, a biconnected graph is a connected and "nonseparable" graph, meaning that if any one vertex were to be removed, the graph will remain connected. Therefore a biconnected graph has no articulation vertices.
Universal vertex         
  • u}}
VERTEX OF AN UNDIRECTED GRAPH THAT IS ADJACENT TO ALL OTHER VERTICES OF THE GRAPH. IT MAY ALSO BE CALLED A DOMINATING VERTEX, AS IT FORMS A ONE-ELEMENT DOMINATING SET IN THE GRAPH
Dominating vertex; Cone (graph theory)
In graph theory, a universal vertex is a vertex of an undirected graph that is adjacent to all other vertices of the graph. It may also be called a dominating vertex, as it forms a one-element dominating set in the graph.