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.