English

Modification Problems toward Proper (Helly) Circular-arc Graphs

Data Structures and Algorithms 2022-02-03 v1

Abstract

We present a 9knO(1)9^k\cdot n^{O(1)}-time algorithm for the proper circular-arc vertex deletion problem, resolving an open problem of van 't Hof and Villanger [Algorithmica 2013] and Crespelle et al. [arXiv:2001.06867]. Our structural study also implies parameterized algorithms for modification problems toward proper Helly circular-arc graphs.

Keywords

Cite

@article{arxiv.2202.00854,
  title  = {Modification Problems toward Proper (Helly) Circular-arc Graphs},
  author = {Yixin Cao and Jianxin Wang and Hanchun Yuan},
  journal= {arXiv preprint arXiv:2202.00854},
  year   = {2022}
}
R2 v1 2026-06-24T09:15:02.774Z