[图书][B] Parameterized algorithms

M Cygan, FV Fomin, Ł Kowalik, D Lokshtanov, D Marx… - 2015 - Springer
The goal of this textbook is twofold. First, the book serves as an introduction to the field of
parameterized algorithms and complexity accessible to graduate students and advanced …

Homomorphisms are a good basis for counting small subgraphs

R Curticapean, H Dell, D Marx - Proceedings of the 49th Annual ACM …, 2017 - dl.acm.org
We introduce graph motif parameters, a class of graph parameters that depend only on the
frequencies of constant-size induced subgraphs. Classical works by Lovász show that many …

Efficient maximal biclique enumeration for large sparse bipartite graphs

L Chen, C Liu, R Zhou, J Xu, J Li - Proceedings of the VLDB Endowment, 2022 - dl.acm.org
Maximal bicliques are effective to reveal meaningful information hidden in bipartite graphs.
Maximal biclique enumeration (MBE) is challenging since the number of the maximal …

A survey on approximation in parameterized complexity: Hardness and algorithms

AE Feldmann, E Lee, P Manurangsi - Algorithms, 2020 - mdpi.com
Parameterization and approximation are two popular ways of coping with NP-hard
problems. More recently, the two have also been combined to derive many interesting …

Tight FPT Approximations for -Median and -Means

V Cohen-Addad, A Gupta, A Kumar, E Lee… - arXiv preprint arXiv …, 2019 - arxiv.org
We investigate the fine-grained complexity of approximating the classical $ k $-median/$ k $-
means clustering problems in general metric spaces. We show how to improve the …

On the parameterized complexity of approximating dominating set

CS Karthik, B Laekhanukit… - 50th Annual ACM …, 2018 - weizmann.elsevierpure.com
We study the parameterized complexity of approximating the kDominating Set (DomSet)
problem where an integer k and a graph G on n vertices are given as input, and the goal is …

From gap-eth to fpt-inapproximability: Clique, dominating set, and more

P Chalermsook, M Cygan, G Kortsarz… - 2017 IEEE 58th …, 2017 - ieeexplore.ieee.org
We consider questions that arise from the intersection between the areas of approximation
algorithms, subexponential-time algorithms, and fixed-parameter tractable algorithms. The …

Twin-width VIII: delineation and win-wins

É Bonnet, D Chakraborty, EJ Kim, N Köhler… - arXiv preprint arXiv …, 2022 - arxiv.org
We introduce the notion of delineation. A graph class $\mathcal C $ is said delineated if for
every hereditary closure $\mathcal D $ of a subclass of $\mathcal C $, it holds that $\mathcal …

Substroke approach to HMM-based on-line Kanji handwriting recognition

M Nakai, N Akira, H Shimodaira… - Proceedings of Sixth …, 2001 - ieeexplore.ieee.org
A new method is proposed for online handwriting recognition of Kanji characters. The
method employs substroke HMM as minimum units to constitute Japanese Kanji characters …

The strongish planted clique hypothesis and its consequences

P Manurangsi, A Rubinstein, T Schramm - arXiv preprint arXiv:2011.05555, 2020 - arxiv.org
We formulate a new hardness assumption, the Strongish Planted Clique Hypothesis
(SPCH), which postulates that any algorithm for planted clique must run in time $ n^{\Omega …