000 03463nmm a22003015i 4500
005 20230705150629.0
008 150720s2015 sz | s |||| 0|eng d
020 _a9783319212753
_9978-3-319-21275-3
082 _a518.1
_223
100 _aCygan, Marek.
_920029
245 _aParameterized Algorithms
_h[electronic resource] /
_cby Marek Cygan, Fedor V. Fomin, Łukasz Kowalik, Daniel Lokshtanov, Dániel Marx, Marcin Pilipczuk, Michał Pilipczuk, Saket Saurabh.
250 _a1st ed. 2015.
260 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aXVII, 613 p. 84 illus., 25 illus. in color.
_bonline resource.
505 _aIntroduction -- Kernelization -- Bounded Search Trees -- Iterative Compression -- Randomized Methods in Parameterized Algorithms -- Miscellaneous -- Treewidth -- Finding Cuts and Separators -- Advanced Kernelization Algorithms -- Algebraic Techniques: Sieves, Convolutions, and Polynomials -- Improving Dynamic Programming on Tree Decompositions -- Matroids -- Fixed-Parameter Intractability -- Lower Bounds Based on the Exponential-Time Hypothesis -- Lower Bounds for Kernelization.
520 _aThis comprehensive textbook presents a clean and coherent account of most fundamental tools and techniques in Parameterized Algorithms and is a self-contained guide to the area. The book covers many of the recent developments of the field, including application of important separators, branching based on linear programming, Cut & Count to obtain faster algorithms on tree decompositions, algorithms based on representative families of matroids, and use of the Strong Exponential Time Hypothesis. A number of older results are revisited and explained in a modern and didactic way. The book provides a toolbox of algorithmic techniques. Part I is an overview of basic techniques, each chapter discussing a certain algorithmic paradigm. The material covered in this part can be used for an introductory course on fixed-parameter tractability. Part II discusses more advanced and specialized algorithmic ideas, bringing the reader to the cutting edge of current research. Part III presents complexity results and lower bounds, giving negative evidence by way of W[1]-hardness, the Exponential Time Hypothesis, and kernelization lower bounds. All the results and concepts are introduced at a level accessible to graduate students and advanced undergraduate students. Every chapter is accompanied by exercises, many with hints, while the bibliographic notes point to original publications and related work.
650 _aAlgorithms.
_920030
650 _aAlgorithms.
_920030
700 _aFomin, Fedor V.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_920031
700 _aKowalik, Łukasz.
_eauthor.
_0(orcid)0000-0002-7546-2969
_1https://orcid.org/0000-0002-7546-2969
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_920032
700 _aLokshtanov, Daniel.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_920033
700 _aMarx, Dániel.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_920034
700 _aPilipczuk, Marcin.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_920035
700 _aPilipczuk, Michał.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_920036
700 _aSaurabh, Saket.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_920037
856 _uhttps://doi.org/10.1007/978-3-319-21275-3
942 _cEBK
999 _c13595
_d13595