[图书][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 …

Finding small separators in linear time via treewidth reduction

D Marx, B O'sullivan, I Razgon - ACM Transactions on Algorithms (TALG), 2013 - dl.acm.org
We present a method for reducing the treewidth of a graph while preserving all of its minimal
st separators up to a certain fixed size k. This technique allows us to solve st Cut and …

[HTML][HTML] The computational complexity of disconnected cut and 2K2-partition

B Martin, D Paulusma - Journal of combinatorial theory, series B, 2015 - Elsevier
For a connected graph G=(V, E), a subset U⊆ V is called a disconnected cut if U
disconnects the graph and the subgraph induced by U is disconnected as well. We show …

Obtaining planarity by contracting few edges

PA Golovach, P van't Hof, D Paulusma - Theoretical Computer Science, 2013 - Elsevier
Obtaining planarity by contracting few edges Page 1 Theoretical Computer Science 476 (2013)
38–46 Contents lists available at SciVerse ScienceDirect Theoretical Computer Science …

Polynomial formulations as a barrier for reduction-based hardness proofs

T Belova, A Golovnev, AS Kulikov, I Mihajlin… - Proceedings of the 2023 …, 2023 - SIAM
The Strong Exponential Time Hypothesis (SETH) asserts that for every ε> 0 there exists k
such that k-SAT requires time (2—ε) n. The field of fine-grained complexity has leveraged …

Multistage graph problems on a global budget

K Heeger, AS Himmel, F Kammer… - Theoretical Computer …, 2021 - Elsevier
Time-evolving or temporal graphs gain more and more popularity when exploring complex
networks. In this context, the multistage view on computational problems is among the most …

A faster FPT algorithm for bipartite contraction

S Guillemot, D Marx - Information Processing Letters, 2013 - Elsevier
Abstract The Bipartite Contraction problem is to decide, given a graph G and a parameter k,
whether we can obtain a bipartite graph from G by at most k edge contractions. The fixed …

On the hardness of eliminating small induced subgraphs by contracting edges

D Lokshtanov, N Misra, S Saurabh - … 4-6, 2013, Revised Selected Papers …, 2013 - Springer
Graph modification problems such as vertex deletion, edge deletion or edge contractions
are a fundamental class of optimization problems. Recently, the parameterized complexity of …

Lossy kernels for graph contraction problems

R Krithika, P Misra, A Rai, P Tale - 36th IARCS Annual …, 2016 - drops.dagstuhl.de
We study some well-known graph contraction problems in the recently introduced framework
of lossy kernelization. In classical kernelization, given an instance (I, k) of a parameterized …

Contracting to a longest path in H-free graphs

W Kern, D Paulusma - arXiv preprint arXiv:1810.01542, 2018 - arxiv.org
We prove two dichotomy results for detecting long paths as patterns in a given graph. The
NP-hard problem Longest Induced Path is to determine the longest induced path in a graph …