We study the approximability of subdense instances of various covering optimization problems, including Vertex Cover, Connected Vertex Cover, Set Cover, and Steiner Tree problems.
Our approximation algorithm makes use of the local ratio technique, which is useful for approximating optimization covering problems such as vertex cover, dominating set, minimum spanning tree, feedback vertex set and more [ 33, 40, 41].
Karp's foreboding bunch of problems have names like "directed Hamiltonian cycle" and "vertex cover".
In this paper we study the capacitated vertex cover problem, a generalization of the well-known vertex cover problem.
Then study the problem of vertex cover on conflict graph in this paper.
We study in particular two paradigmatic problems, max independent set and min vertex cover.
We exemplify this idea by designing and analysing parameterised approximation algorithms for minimum vertex cover.
Step 4. Let be a vertex cover of, and let and.
They also applied the vertex cover optimization to cut down the number of iterations.
Here, c is some constant depending on the graph problem to be solved, n is the number of graph vertices, and k is the problem parameter (for VERTEX COVER this is the size of the vertex cover).
The minimum weighted vertex cover (MWVC) problem, an extension of the classical minimum vertex cover (MVC) problem, is an important NP-complete combinatorial optimization problem with a wide range of applications.
