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003 IIITD
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008 241005b |||||||| |||| 00| 0 eng d
020 _a9783319357027
040 _aIIITD
082 0 4 _a005.1
_bCYG-P
245 1 0 _aParameterized algorithms
_cby Marek Cygan...[et al.]
260 _aNew York :
_bSpringer,
_c©2015
300 _axvii, 613 p. :
_bill. ;
_c24 cm.
504 _aIncludes bibliographical references and indexes.
505 0 _tPart 1 Basic toolbox
505 0 _tPart 2 Advance algorithmic techniques
505 0 _tPart 3 Lower bounds
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 and 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 0 _aAlgorithms
650 1 4 _aAlgorithm Analysis and Problem Complexity
700 1 _aFomin, Fedor V.
700 1 _aKowalik, Łukasz
700 1 _aLokshtanov, Daniel
700 1 _aMarx, Dániel
700 1 _aPilipczuk, Marcin
700 1 _aPilipczuk, Michał
700 1 _aSaurabh, Saket
942 _2ddc
_cBK
999 _c189679
_d189679