Node coverage problem
The vertex coverage problem (often notated with VERTEX COVER ) is a problem of graph theory .
It asks whether, for a given simple graph and a natural number k, there is a vertex coverage of at most k . That is, if there is a maximum of k existing node subset U is the set of nodes such that each edge of the graph with at least one node U is connected.
The node coverage problem belongs to the list of 21 classical NP-complete problems, which Richard Karp was able to show in 1972 to belong to this class.