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Du D.-Z., Ko K.-I. — Theory of computational complexity
Du D.-Z., Ko K.-I. — Theory of computational complexity



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Название: Theory of computational complexity

Авторы: Du D.-Z., Ko K.-I.

Аннотация:

Du and Ko present the fundamentals of complexity theory, including NP-completeness theory, the polynomial-time hierarchy, relativization.
The book...is a graduate text...however, it can also be used profitably by researchers in theory...the selection by the authors of the book under review is excellent


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 491

Добавлена в каталог: 05.12.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Goldreich, O.      390 391
Goldschlager, L.M.      242 243
Goldsmith, J.      284
Goldwasser, S.      390 391
Graham, R.L.      450
Graph Accessibility (GAcc)      218
Graph Coloring (GColor)      74
Graph Consistency (GC)      109
Graph Isomorphism (GIso)      117 140 381 390
Graph Nonisomorphism ($\overline{GIso}$)      355 388 390
Graph property      148
Graph property, bipartite      149
Graph property, monotone      161
Graph(s)      44 147 see
Graph(s), Boolean function representation      147
Graph(s), complement      246
Graph(s), connected      148
Graph(s), cubic      443
Graph(s), directed      see "Digraph"
Graph(s), Euclidean      66
Graph(s), Eulerian      67
Graph(s), factor-critical      192
Graph(s), isomorphic      148
Graph(s), k-colored      87
Graph(s), nonplaner      188
Graph(s), planar      156
Graph(s), scorpion      189
Graph(s), simple      44
Greatest common divisor      114
Greenlaw, R.      243
GRN      see "Generalized Ramsey Number"
Grollman, J.      143
Group      4
Guess-and-verify algorithm      17 44
Halldorsson, M.      434
Halting of Turing machine(s) (TM)      9 28
Halting probability, of a PTM      293
Halting problem      28 48
Halting problem, relativized      125
Hamiltonian circuit      45
Hamiltonian Circuit (HC)      45 53 67
Hamiltonian Circuit (HC), paddability      251
Hardness      47
Hartmanis, J.      42 143 283 284 352 391
Hashing function      376
Hashing function, linear      377
Hashing function, linear, random      377
Hashing function, universal      376
Hastad, J.      143 242 243 352 391 433 434 451
HC      see "Hamiltonian Circuit"
Heller, H.      143 319
Hellman, M.      143
Hemachandra, L.A.      284 319 352
HEX      110
High hierarchy      351
High hierarchy, relativized      351
Holt, R.C.      192
Homer, S.      284
Hopcroft, J.      42 66 96 143
Hopf index formula      172
Hu, X.-D.      193
Huang, M.A.      319
Hunt, H.B. III      112
Ibarra, O.H.      71 75
IEE      see "Integer Expression Equivalence"
Illies      193
Immerman, N.      42 242
Immune set      263
Implicant      6
Implicant prime      6
Independence results      127
Independent set      53
Independent Set (IS)      53 245 435
Inner product      278
Integer expression      109
Integer Expression Equivalence (IEE)      109
Integer Factoring (Factor)      116 122
Integer Programming (IP)      45
Interactive proof system      117 355 360 387 393
Interactive proof system, multi-prover      446
Interactive protocol      387
Interactive protocol, k-prover      446
Interactive Turing machine      360
Invariant assignment, of a symmetric permutation      171
Inverter      239
Invertible function, polynomial-time      247
Invertible reducibility, polynomial-time      247
IP      55 127 361 see
IS      see "Independent Set"
is*(G)      437
IS-b      435
Iso-degree      276
Isolation Lemma      237 338
Isomorphism type      276
Isomorphism, polynomial-time      246
Jerrum, M.R.      352
Jiang, T.      112
Johnson, D.      75 76 390
Join      80 256
Joseph — Young Conjecture      267
Joseph — Young Conjecture, EXP version      267
Joseph, D.      266 283 284
K      28
K(a)      314
k-colored graph      87
k-creative set      266 281
k-truth-table reducibility, polynomial-time      256
k-UP      140
Kahn, J.      193
Kannan, S.      450
Karloff, H.      433 451
Karmarkar, N.      76 143
Karp conjecture      163
Karp, R.M.      75 76 143 193 242 243 319
Khachiyan, L.      143
Khanna, S.      76
Killian, J.      391 451
Kim, C.E.      71 75
King, V.      193
Kirkpatrick, D.      192
Kiwi, M.      451
Kleene closure      4
Kleene, S.C.      42
Kleitman, D.J.      193
Knapsack (KS)      69
Knuth, D.      115
Ko, K.      42 76 111 112 143 243 283 284 319 352 451
Koebler, J.      391
Kolmogorov complexity      42
Kolmogorov, A.N.      132
Kozen, D.      112
Kranakis, E.      143
KS      see "Knapsack"
Kuratowski's theorem      188
Kurtz, S.      284
Kwiatkowski, D.J.      193
L(M)      11
L(M, A)      78
L(M, f)      60
L-reduction      435
Ladner, R.      75 143 243
Landau, S.      242
Language      4
Language class      4
Language, computable      10
Language, context-sensitive      35
Language, recursive      10
Language, recursively enumerable (r.e.)      10
Laplace expansion      47
Laplante, S.      243
Lautemann, C.      319
Law of quadratic reciprocity      291
Lawler, E.L.      67 71 237
LE      348
Lebesgue measure      132
Lefshetz' Fixed Point Theorem      170
Legendre symbol      291
Legendre — Jacobi symbol      291
Length of a string      4
Length-increasing function      247
Levelable circuit      222 343
Levin, L.      75 450
Lewis, P.M.      42
Lexicographic ordering      4
Li, M.      42 243
Lin, C.-L.      111 112 451
Line      403 416
Linear congruence generator      see "Pseudorandom generator"
Linear extension      348
Linear function      425
Linear function on an aligned triple      403
Linear function, recovering system      425
Linear programming      143
Linear speed-up theorem      20
Linearity test system      425
Link      168
Lipton, R.J.      193 242 243 450
Literal      6
Liu, C.L.      67
LOG      239 396
Log-space uniformity      216
LOGCFL      110
logspace      21
Long, T.      112 143 352
Longest Direct Circuit      109
Longest Path (LP)      449
Loop in a digraph      149
Lovasz, L.      75
Low hierarchy      351
Low hierarchy, relativized      351
Low-degree test system      411 414 416
Loxton, J.H.      143
lp      see "Longest Path"
Lund, C.      76 390 391 450 451
Lupanov, O.B.      242
Lynch, N.      76 283
M      317
Mahaney, S.      283
Maier, D.      76
MAJ      342
Majority quantifier      307
Majority vote      299
MAJSAT      333
Manders, K.      112 319
Many-one reducibility      47
Many-one reducibility, $NC^{1}$      279
Many-one reducibility, log-space      218
Many-one reducibility, polynomial-time      47 74 430
Matching      67 348
MAX-CLIQUE      59 64
MAX-SNP      450
MAX-SNP-completeness      450
Maximal subset      282
Maximum satisfiability problem      430
Mayr, E.W.      243
McKenzie, P.      242
McMillan's theorem      5
MCV      see "Monotone Circuit Value"
Merlin machine      363
Merlin machine, accepting probability      364
Merlin machine, configuration      363
Meyer, A.      111 283
Micali, S.      390 391
Miller, G.      319
Milner, E.C.      192
Min-Bisection      449
Min-NFA      see "Minimal Nondeterministic Finite Automaton"
Min-TSP      74
Minimal Nondeterministic Finite Automaton (Min-NFA)      110
minimax      154
Minimax-3dm      109
Minimax-Circuit      109
Minimax-Clique      109
Minimum matching problem      67
Minimum spanning tree problem      66
Minterm      6 149
MIP      450
Mitchell, J.      451
Monoid      4
Monotone circuit      205
Monotone Circuit Value (MCV)      229
Moore, D.      283
Moran, S.      243 390
Motwani, R.      319
Mulmuley, K.      243 277 352
Multilinear extension      398
Multilinearity test system      399 407
Multiplication      125
Multiplication of integers      239
Multiplication of permutations      239
Myhill, J.      283
Nand Circuit Value      241
NAND gate      241
NC      217
NC reducibility      241
Neciporuk, E.I.      188
Negation      5
Negligibility      122
Network      230
Network, flow      230
NEXP      21
NEXP-complete set      107
NEXPPOLY      396
Nick's class      242
Nisan, N.      319 391
Niven, I.      114
NLOGSPACE      21 219
NLOGSPACE-complete set      219
Nonadaptive proof system      394
Nondeterministic Turing machine (NTM)      14 see
Nondeterministic Turing machine (NTM), accepting a string      15
Nondeterministic Turing machine (NTM), accepting path      15
Nondeterministic Turing machine (NTM), computation      14
Nondeterministic Turing machine (NTM), computing a function      16
Nondeterministic Turing machine (NTM), halting path      15
Nondeterministic Turing machine (NTM), k-ambiguous      140
Nondeterministic Turing machine (NTM), output      15
Nondeterministic Turing machine (NTM), unambiguous      120
Nondeterministic Turing machine (NTM), universal      25
Nonuniform complexity class      216
Nonuniform-$AC^{i}$      216
Nonuniform-$NC^{0}$      221
Nonuniform-$NC^{1}$      222
Nonuniform-$NC^{i}$      216
Nonuniform-NC      217
Normal subgroup      174
Not-All-Equal-3Sat      72
NP      21 43 410
NP-complete set      47
NP-complete set, natural      48 245 251
NP/poly      203
NPSPACE      33
NSPACE(s(n))      19 21
NTIME(t(n))      19
NTM      see "Nondeterministic Turing machine"
Odd Maximum Flow (OMF)      230
Ogihara, M.      284
Ogiwara, M.      283
Oliver, R.      193
OMF      see "Odd Maximum Flow"
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