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@inproceedings{1414043,
author = {Eiben, Eduard and Ordyniak, Sebastian and Ramanujan, M.S. and Bergougnoux, Benjamin and Ganian, Robert},
address = {Nemecko},
booktitle = {42nd International Symposium on Mathematical Foundations of Computer Science, {MFCS} 2017, August 21-25, 2017 - Aalborg, Denmark},
doi = {http://dx.doi.org/10.4230/LIPIcs.MFCS.2017.36},
edition = {83},
editor = {Kim G. Larsen and Hans L. Bodlaender and Jean-Francois Raskin},
keywords = {parameterized algorithms; kernelization; (directed) feedback vertex set},
howpublished = {elektronická verze "online"},
language = {eng},
location = {Nemecko},
isbn = {978-3-95977-046-0},
pages = {1-15},
publisher = {LIPIcs},
title = {Towards a Polynomial Kernel for Directed Feedback Vertex Set},
url = {http://drops.dagstuhl.de/opus/volltexte/2017/8112/},
year = {2017}
}
TY - JOUR
ID - 1414043
AU - Eiben, Eduard - Ordyniak, Sebastian - Ramanujan, M.S. - Bergougnoux, Benjamin - Ganian, Robert
PY - 2017
TI - Towards a Polynomial Kernel for Directed Feedback Vertex Set
PB - LIPIcs
CY - Nemecko
SN - 9783959770460
KW - parameterized algorithms
KW - kernelization
KW - (directed) feedback vertex set
UR - http://drops.dagstuhl.de/opus/volltexte/2017/8112/
L2 - http://drops.dagstuhl.de/opus/volltexte/2017/8112/
N2 - In the Directed Feedback Vertex Set (DFVS) problem, the input is a directed graph D and an integer k. The objective is to determine whether there exists a set of at most k vertices intersecting every directed cycle of D. DFVS was shown to be fixed-parameter tractable when parameterized by solution size by Chen, Liu, Lu, O'Sullivan and Razgon [JACM 2008]; since then, the existence of a polynomial kernel for this problem has become one of the largest open problems in the area of parameterized algorithmics. In this paper, we study DFVS parameterized by the feedback vertex set number of the underlying undirected graph. We provide two main contributions: a polynomial kernel for this problem on general instances, and a linear kernel for the case where the input digraph is embeddable on a surface of bounded genus.
ER -
EIBEN, Eduard, Sebastian ORDYNIAK, M.S. RAMANUJAN, Benjamin BERGOUGNOUX a Robert GANIAN. Towards a Polynomial Kernel for Directed Feedback Vertex Set. Online. In Kim G. Larsen and Hans L. Bodlaender and Jean-Francois Raskin. \textit{42nd International Symposium on Mathematical Foundations of Computer Science, $\{$MFCS$\}$ 2017, August 21-25, 2017 - Aalborg, Denmark}. 83. vyd. Nemecko: LIPIcs, 2017, s.~1-15. ISBN~978-3-95977-046-0. Dostupné z: https://dx.doi.org/10.4230/LIPIcs.MFCS.2017.36.
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