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 …

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 …

From gap-exponential time hypothesis to fixed parameter tractable inapproximability: Clique, dominating set, and more

P Chalermsook, M Cygan, G Kortsarz… - SIAM Journal on …, 2020 - SIAM
We consider questions that arise from the intersection between the areas of polynomial-time
approximation algorithms, subexponential-time algorithms, and fixed-parameter tractable …

Grundy distinguishes treewidth from pathwidth

R Belmonte, EJ Kim, M Lampis, V Mitsou… - SIAM Journal on Discrete …, 2022 - SIAM
Structural graph parameters, such as treewidth, pathwidth, and clique-width, are a central
topic of study in parameterized complexity. A main aim of research in this area is to …

Parameterized max min feedback vertex set

M Lampis, N Melissinos, M Vasilakis - arXiv preprint arXiv:2302.09604, 2023 - arxiv.org
Given a graph $ G $ and an integer $ k $, Max Min FVS asks whether there exists a minimal
set of vertices of size at least $ k $ whose deletion destroys all cycles. We present several …

Maximum minimal vertex cover parameterized by vertex cover

M Zehavi - SIAM Journal on Discrete Mathematics, 2017 - SIAM
The parameterized complexity of problems is often studied with respect to the size of their
optimal solutions. However, for a maximization problem, the size of the optimal solution can …

Approximating highly inapproximable problems on graphs of bounded twin-width

P Bergé, É Bonnet, H Déprés, R Watrigant - arXiv preprint arXiv …, 2022 - arxiv.org
For any $\varepsilon> 0$, we give a polynomial-time $ n^\varepsilon $-approximation
algorithm for Max Independent Set in graphs of bounded twin-width given with an $ O (1) …

New tools and connections for exponential-time approximation

N Bansal, P Chalermsook, B Laekhanukit… - Algorithmica, 2019 - Springer
In this paper, we develop new tools and connections for exponential time approximation. In
this setting, we are given a problem instance and an integer r> 1 r> 1, and the goal is to …

Moderate exponential-time algorithms for scheduling problems

V T'kindt, F Della Croce, M Liedloff - Annals of Operations Research, 2024 - Springer
This survey investigates the field of moderate exponential-time algorithms for NP-hard
scheduling problems, ie, exact algorithms whose worst-case time complexity is moderately …

Lower bounds for the parameterized complexity of minimum fill-in and other completion problems

I Bliznets, M Cygan, P Komosa, M Pilipczuk… - ACM Transactions on …, 2020 - dl.acm.org
In this work, we focus on several completion problems for subclasses of chordal graphs:
Minimum Fill-In, Interval Completion, Proper Interval Completion, Trivially Perfect …