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What (who) is K-vertex-connected graph - definition
K-vertex-connected graph
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
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
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.
