English

Experimental Evaluation of Parameterized Algorithms for Graph Separation Problems: Half-Integral Relaxations and Matroid-based Kernelization

Data Structures and Algorithms 2018-11-20 v1

Abstract

In the recent years we have witnessed a rapid development of new algorithmic techniques for parameterized algorithms for graph separation problems. We present experimental evaluation of two cornerstone theoretical results in this area: linear-time branching algorithms guided by half-integral relaxations and kernelization (preprocessing) routines based on representative sets in matroids. A side contribution is a new set of benchmark instances of (unweighted, vertex-deletion) Multiway Cut.

Keywords

Cite

@article{arxiv.1811.07779,
  title  = {Experimental Evaluation of Parameterized Algorithms for Graph Separation Problems: Half-Integral Relaxations and Matroid-based Kernelization},
  author = {Marcin Pilipczuk and Michał Ziobro},
  journal= {arXiv preprint arXiv:1811.07779},
  year   = {2018}
}
R2 v1 2026-06-23T05:20:43.292Z