What is the maximum vertex cover?
What is the maximum vertex cover?
Given a simple undirected graph G = ( V , E ) and a positive integer , the Maximum Vertex Coverage Problem is the problem of finding a set of or fewer vertices such that the number of edges having at least one endpoint in is as large as possible.
Is vertex cover a dynamic programming?
Vertex Cover Problem | Set 2 (Dynamic Programming Solution for Tree) A vertex cover of an undirected graph is a subset of its vertices such that for every edge (u, v) of the graph, either ‘u’ or ‘v’ is in vertex cover.
What is minimum vertex in graph theory?
The counts of vertex covers and independent vertex sets in a graph are therefore the same. A vertex cover having the smallest possible number of vertices for a given graph is known as a minimum vertex cover.
What is a minimum and maximum vertex?
Vertical parabolas give an important piece of information: When the parabola opens up, the vertex is the lowest point on the graph — called the minimum, or min. When the parabola opens down, the vertex is the highest point on the graph — called the maximum, or max.
What is the complexity of minimum vertex cover?
The minimum vertex cover problem is the optimization problem of finding a smallest vertex cover in a given graph. The vertex cover problem is an NP-complete problem: it was one of Karp’s 21 NP-complete problems. It is often used in computational complexity theory as a starting point for NP-hardness proofs.
Is maximum independent set minimum vertex cover?
The Minimum Vertex Cover (MVC) problem consists of identifying the vertex cover of which has minimum cardinality (denoted by ). The MIS and MVC problems are related in that the maximum independent set of contains all those vertices that are not in the minimum vertex cover of (i.e. S = V − T and α + β = n ) [1].
Is set cover NP-complete?
The decision version of set covering is NP-complete, and the optimization/search version of set cover is NP-hard.
