It is a minimization problem since we find the minimum size of the vertex cover the size of the vertex cover is the number of vertices in it. The optimization problem is an NP-Complete problem and hence, cannot be solved in polynomial time; but what can be found in polynomial time is ...
Vertex Cover in Graph Theory - Explore the Vertex Cover problem in graph theory, including definitions, algorithms, and applications. Learn how to solve this fundamental problem effectively.
This problem is NP-complete and thus was studied from parameterized complexity and approximation algorithms view points. Vertex Cover and its generalizations have been important in developing basic and advanced methods and approaches for parameterized and approximation algorithms. Thus, it was named the ...
In the paper, we address this problem from the perspective of fixed-parameter tractability and algorithms. We present some W[1]-hardness, paraNP-hardness results for our problem. On the positive side, we show that the problem is fixed-parameter tractable with respect to certain parameters. One...
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Minimum Vertex Cover (MVC) [36]: Given any undirected graph G = (V, E), find a set V' with the fewest vertices such that for any edge e = (u, v) ∈ E, either u ∈ V' or v ∈ V', that is, the vertices in V' cover the edge set E. The minimum vertex cover problem is...