English

Feedback vertex set on chordal bipartite graphs

Combinatorics 2012-10-16 v2

Abstract

Let G=(A,B,E) be a bipartite graph with color classes A and B. The graph G is chordal bipartite if G has no induced cycle of length more than four. Let G=(V,E) be a graph. A feedback vertex set F is a set of vertices F subset V such that G-F is a forest. The feedback vertex set problem asks for a feedback vertex set of minimal cardinality. We show that the feedback vertex set problem can be solved in polynomial time on chordal bipartite graphs.

Keywords

Cite

@article{arxiv.1104.3915,
  title  = {Feedback vertex set on chordal bipartite graphs},
  author = {Ton Kloks and Ching-Hao Liu and Sheung-Hung Poon},
  journal= {arXiv preprint arXiv:1104.3915},
  year   = {2012}
}
R2 v1 2026-06-21T17:56:33.857Z