In the vertex cover example, kernelization algorithms are known that produce kernels with at most vertices. One algorithm that achieves this improved bound exploits the half-integrality of the linear program relaxation of vertex cover due to Nemhauser and Trotter.
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Nov 23, 2018 · This survey discusses several research directions in Vertex Cover kernelization. The Barrier Degree of Vertex Cover kernelization is discussed.
We here report the first experimental results of an AI-guided branching algorithm for Vertex Cover whose logic seems amenable for application in finding ...
Aug 9, 2018 · The goal is to identify a set of vertices that we can always assume to be contained in a size-k vertex cover of a graph. In other words, we want ...
The idea of automated kernelization is discussed. We here report the first experimental results of an AI-guided branching algorithm for Vertex Cover whose logic ...
TL;DR: The first experimental results of an AI-guided branching algorithm for Vertex Cover whose logic seems amenable for application in finding reduction rules ...
Since one or both of the vertices in each edge of H is in H's cover, we know that at the least Ax and Bx, Ay and By, Ax and By, or Ay and Bx are in the cover.
Theorem 3 suggests a polynomial-time kernelization algorithm for vertex cover. The algorithm is involved in solving the linear programming problem (LP) and ...
Abstract. Kernelization is a concept that enables the formal mathematical analysis of data reduction through the framework of parameterized complexity.
The Vertex Cover problem with a different parameter is considered, the size of which is structurally smaller than the parameter k associated to the vertex ...