English

Feedback Vertex Set in Mixed Graphs

Data Structures and Algorithms 2015-03-17 v1

Abstract

A mixed graph is a graph with both directed and undirected edges. We present an algorithm for deciding whether a given mixed graph on nn vertices contains a feedback vertex set (FVS) of size at most kk, in time 2O(k)k!O(n4)2^{O(k)}k! O(n^4). This is the first fixed parameter tractable algorithm for FVS that applies to both directed and undirected graphs.

Keywords

Cite

@article{arxiv.1010.5974,
  title  = {Feedback Vertex Set in Mixed Graphs},
  author = {Paul Bonsma and Daniel Lokshtanov},
  journal= {arXiv preprint arXiv:1010.5974},
  year   = {2015}
}
R2 v1 2026-06-21T16:35:36.619Z