[BOOK][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 …

[BOOK][B] Fundamentals of parameterized complexity

RG Downey, MR Fellows - 2013 - Springer
Parameterized complexity/multivariate complexity algorithmics is an exciting field of modern
algorithm design and analysis, with a broad range of theoretical and practical aspects that …

[BOOK][B] Kernelization: theory of parameterized preprocessing

FV Fomin, D Lokshtanov, S Saurabh, M Zehavi - 2019 - books.google.com
Preprocessing, or data reduction, is a standard technique for simplifying and speeding up
computation. Written by a team of experts in the field, this book introduces a rapidly …

[HTML][HTML] A survey of parameterized algorithms and the complexity of edge modification

C Crespelle, PG Drange, FV Fomin… - Computer Science Review, 2023 - Elsevier
The survey is a comprehensive overview of the develo** area of parameterized
algorithms for graph modification problems. It describes state of the art in kernelization …

[PDF][PDF] Computational problems in formal argumentation and their complexity

W Dvorák, PE Dunne - JOURNAL OF APPLIED LOGICS …, 2017 - livrepository.liverpool.ac.uk
Wolfgang Dvorák, Paul E. Dunne abstract. In this chapter we give an overview of the core
computational problems arising in formal argumentation together with a complexity analysis …

A 4k2 kernel for feedback vertex set

S Thomassé - ACM Transactions on Algorithms (TALG), 2010 - dl.acm.org
We prove that given an undirected graph G on n vertices and an integer k, one can compute,
in polynomial time in n, a graph G′ with at most 4 k 2 vertices and an integer k′ such that …

Dynamics and control at feedback vertex sets. I: Informative and determining nodes in regulatory networks

B Fiedler, A Mochizuki, G Kurosawa, D Saito - Journal of Dynamics and …, 2013 - Springer
We consider systems of differential equations which model complex regulatory networks by
a graph structure of dependencies. We show that the concepts of informative nodes …

Vertex deletion parameterized by elimination distance and even less

BMP Jansen, JJH De Kroon… - Proceedings of the 53rd …, 2021 - dl.acm.org
We study the parameterized complexity of various classic vertex-deletion problems such as
Odd cycle transversal, Vertex planarization, and Chordal vertex deletion under hybrid …

Fixed-parameter tractability of multicut parameterized by the size of the cutset

D Marx, I Razgon - Proceedings of the forty-third annual ACM …, 2011 - dl.acm.org
Given an undirected graph G, a collection (s1, t1),...,(sl, tl) of pairs of vertices, and an integer
p, the Edge Multicut problem ask if there is a set S of at most p edges such that the removal …

Faster deterministic feedback vertex set

T Kociumaka, M Pilipczuk - Information Processing Letters, 2014 - Elsevier
We present a new deterministic algorithm for the Feedback Vertex Set problem
parameterized by the solution size. Our algorithm runs in O⁎((2+ ϕ) k) time, where ϕ< 1.619 …