A chordless cycle or hole in a graph G is an induced cycle of length at least 4. In the Hole Packing problem, a graph G and an integer k is given, and the task is to find (if exists) a set of k pairwise vertex-disjoint chordless cycles. Our main result is showing that Hole Packing is fixed-parameter tractable (FPT), that is, can be solved in time f(k)n^O(1) for some function f depending only on k.
History
Preferred Citation
Dániel Marx. Chordless Cycle Packing Is Fixed-Parameter Tractable. In: European Symposium on Algorithms (ESA). 2020.
Primary Research Area
Algorithmic Foundations and Cryptography
Name of Conference
European Symposium on Algorithms (ESA)
Legacy Posted Date
2020-12-03
Open Access Type
Gold
BibTeX
@inproceedings{cispa_all_3303,
title = "Chordless Cycle Packing Is Fixed-Parameter Tractable",
author = "Marx, Dániel",
booktitle="{European Symposium on Algorithms (ESA)}",
year="2020",
}