English

Jungles, bundles, and fixed parameter tractability

Data Structures and Algorithms 2012-08-03 v2 Combinatorics

Abstract

We give a fixed-parameter tractable (FPT) approximation algorithm computing the path-width of a tournament, and more generally, of a semi-complete digraph. Based on this result, we prove that topological containment and rooted immersion problems are FPT on semi-complete digraphs.

Keywords

Cite

@article{arxiv.1112.1538,
  title  = {Jungles, bundles, and fixed parameter tractability},
  author = {Fedor V. Fomin and Michał Pilipczuk},
  journal= {arXiv preprint arXiv:1112.1538},
  year   = {2012}
}

Comments

The new version contains simplified proofs providing better running times of the algorithms, as well as a wider discussion of the context

R2 v1 2026-06-21T19:47:44.452Z