[КНИГА][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 …

Exact exponential algorithms

FV Fomin, P Kaski - Communications of the ACM, 2013 - dl.acm.org
Exact exponential algorithms Page 1 80 coMMunicATions of ThE AcM | MARCh 2013 | Vol. 56
| No. 3 review articles Exact Exponential Algorithms of non-parameterized instances of intractable …

Set partitioning via inclusion-exclusion

A Björklund, T Husfeldt, M Koivisto - SIAM Journal on Computing, 2009 - SIAM
Given a set N with n elements and a family F of subsets, we show how to partition N into k
such subsets in 2^nn^O(1) time. We also consider variations of this problem where the …

A multiple QoS constrained scheduling strategy of multiple workflows for cloud computing

M Xu, L Cui, H Wang, Y Bi - 2009 IEEE international symposium …, 2009 - ieeexplore.ieee.org
Cloud computing has gained popularity in recent times. As a cloud must provide services to
many users at the same time and different users have different QoS requirements, the …

A measure & conquer approach for the analysis of exact algorithms

FV Fomin, F Grandoni, D Kratsch - Journal of the ACM (JACM), 2009 - dl.acm.org
For more than 40 years, Branch & Reduce exponential-time backtracking algorithms have
been among the most common tools used for finding exact solutions of NP-hard problems …

Solving larger maximum clique problems using parallel quantum annealing

E Pelofske, G Hahn, HN Djidjev - Quantum Information Processing, 2023 - Springer
Quantum annealing has the potential to find low energy solutions of NP-hard problems that
can be expressed as quadratic unconstrained binary optimization problems. However, the …

Combinatorial bounds via measure and conquer: Bounding minimal dominating sets and applications

FV Fomin, F Grandoni, AV Pyatkin… - ACM Transactions on …, 2008 - dl.acm.org
We provide an algorithm listing all minimal dominating sets of a graph on n vertices in time O
(1.7159 n). This result can be seen as an algorithmic proof of the fact that the number of …

[КНИГА][B] Algorithms, measures and upper bounds for satisfiability and related problems

M Wahlström - 2007 - search.proquest.com
The topic of exact, exponential-time algorithms for NP-hard problems has received a lot of
attention, particularly with the focus of producing algorithms with stronger theoretical …

On the minimum feedback vertex set problem: Exact and enumeration algorithms

FV Fomin, S Gaspers, AV Pyatkin, I Razgon - Algorithmica, 2008 - Springer
We present a time O(1.7548^n) algorithm finding a minimum feedback vertex set in an
undirected graph on n vertices. We also prove that a graph on n vertices can contain at most …

Exponential-time approximation of weighted set cover

M Cygan, Ł Kowalik, M Wykurz - Information Processing Letters, 2009 - Elsevier
The Set Cover problem belongs to a group of hard problems which are neither
approximable in polynomial time (at least with a constant factor) nor fixed parameter …