English

Finding an induced subdivision of a digraph

Discrete Mathematics 2016-03-27 v1 Combinatorics

Abstract

We consider the following problem for oriented graphs and digraphs: Given an oriented graph (digraph) GG, does it contain an induced subdivision of a prescribed digraph DD? The complexity of this problem depends on DD and on whether GG must be an oriented graph or is allowed to contain 2-cycles. We give a number of examples of polynomial instances as well as several NP-completeness proofs.

Keywords

Cite

@article{arxiv.1309.1553,
  title  = {Finding an induced subdivision of a digraph},
  author = {Jørgen Bang-Jensen and Frédéric Havet and Nicolas Trotignon},
  journal= {arXiv preprint arXiv:1309.1553},
  year   = {2016}
}
R2 v1 2026-06-22T01:21:56.686Z