English

An improved kernel for the cycle contraction problem

Data Structures and Algorithms 2017-06-20 v1

Abstract

The problem of modifying a given graph to satisfy certain properties has been one of the central topics in parameterized tractability study. In this paper, we study the cycle contraction problem, which makes a graph into a cycle by edge contractions. The problem has been studied {by Belmonte et al. [IPEC 2013]} who obtained a linear kernel with at most 6k+66k+6 vertices. We provide an improved kernel with at most 5k+45k+4 vertices for it in this paper.

Keywords

Cite

@article{arxiv.1706.05628,
  title  = {An improved kernel for the cycle contraction problem},
  author = {Bin Sheng and Yuefang Sun},
  journal= {arXiv preprint arXiv:1706.05628},
  year   = {2017}
}

Comments

12 pages, 3 figures