000 02166nam a22002057a 4500
005 20220715113610.0
008 220715b |||||||| |||| 00| 0 eng d
020 _a9783642067570
082 _a003.3
_bFLU
100 _a Jörg Flum;
245 _aParameterized complexity theory
260 _aBerlin :
_bSpringer,
_c©2006.
300 _a 493
505 _aFixed-Parameter Tractability -- Reductions and Parameterized Intractability -- The Class W[P] -- Logic and Complexity -- Two Fundamental Hierarchies -- The First Level of the Hierarchies -- The W-Hierarchy -- The A-Hierarchy -- Kernelization and Linear Programming Techniques -- The Automata-Theoretic Approach -- Tree Width -- Planarity and Bounded Local Tree Width -- Homomorphisms and Embeddings -- Parameterized Counting Problems -- Bounded Fixed-Parameter Tractability and Limited Nondeterminism -- Subexponential Fixed-Parameter Tractability.
520 _aParameterized complexity theory is a recent branch of computational complexity theory that provides a framework for a refined analysis of hard algorithmic problems. The central notion of the theory, fixed-parameter tractability, has led to the development of various new algorithmic techniques and a whole new theory of intractability." "This book is a state-of-the-art introduction into both algorithmic techniques for fixed-parameter tractability and the structural theory of parameterized complexity classes, and it presents detailed proofs of recent advanced results that have not appeared in book form before. Several chapters each are devoted to intractability, algorithmic techniques for designing fixed-parameter tractable algorithms, and bounded fixed-parameter tractability and subexponential time complexity. The treatment is comprehensive, and the reader is supported with exercises, notes, a detailed index, and some background on complexity theory and logic." "The book will be of interest to computer scientists, mathematicians and graduate students engaged with algorithms and problem complexity
650 _aComputational complexity.
650 _aAlgorithms.
700 _aM Grohe
942 _2ddc
_cBK
999 _c1680
_d1680