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 …

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 …

Finding induced subgraphs via minimal triangulations

FV Fomin, Y Villanger - arXiv preprint arXiv:0909.5278, 2009 - arxiv.org
Potential maximal cliques and minimal separators are combinatorial objects which were
introduced and studied in the realm of minimal triangulations problems including Minimum …

[图书][B] Exponential Time Algorithms

S Gaspers - 2010 - books.google.com
This book studies exponential time algorithms for NP-hard problems. In this modern area,
the aim is to design algorithms for combinatorially hard problems that execute provably …

Maximum -Regular Induced Subgraph Problem: Fast Exponential Algorithms and Combinatorial Bounds

S Gupta, V Raman, S Saurabh - SIAM Journal on Discrete Mathematics, 2012 - SIAM
We show that for a fixed r, the number of maximal r-regular induced subgraphs in any graph
with n vertices is upper bounded by O(c^n), where c is a positive constant strictly less than 2 …

Maximum regular induced subgraphs in 2P3-free graphs

VV Lozin, R Mosca - Theoretical Computer Science, 2012 - Elsevier
Finding maximum regular induced subgraphs is a family of algorithmic graph problems
containing several important representatives such as maximum independent set, maximum …

Finding a Maximum Induced Degenerate Subgraph Faster Than 2 n

M Pilipczuk, M Pilipczuk - … , IPEC 2012, Ljubljana, Slovenia, September 12 …, 2012 - Springer
In this paper we study the problem of finding a maximum induced d-degenerate subgraph in
a given n-vertex graph from the point of view of exact algorithms. We show that for any fixed …

Feedback vertex sets in tournaments

S Gaspers, M Mnich - Journal of Graph Theory, 2013 - Wiley Online Library
We study combinatorial and algorithmic questions around minimal feedback vertex sets
(FVS) in tournament graphs. On the combinatorial side, we derive upper and lower bounds …

The complexity of uniform Nash equilibria and related regular subgraph problems

V Bonifaci, U Di Iorio, L Laura - Theoretical Computer Science, 2008 - Elsevier
We investigate the complexity of finding Nash equilibria in which the strategy of each player
is uniform on its support set. We show that, even for a restricted class of win–lose bimatrix …

Feedback vertex sets in tournaments

S Gaspers, M Mnich - European Symposium on Algorithms, 2010 - Springer
We study combinatorial and algorithmic questions around minimal feedback vertex sets in
tournament graphs. On the combinatorial side, we derive strong upper and lower bounds on …