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Graham R.L., Grotschel M., Lovasz L. — Handbook of combinatorics (vol. 2)
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Название: Handbook of combinatorics (vol. 2)
Авторы: Graham R.L., Grotschel M., Lovasz L.
Аннотация: Combinatorics research, the branch of mathematics that deals with the study of discrete, usually finite, structures, covers a wide range of problems not only in mathematics but also in the biological sciences, engineering, and computer science. The Handbook of Combinatorics brings together almost every aspect of this enormous field and is destined to become a classic. Ronald L. Graham, Martin Grötschel, and László Lovász, three of the world's leading combinatorialists, have compiled a selection of articles that cover combinatorics in graph theory, theoretical computer science, optimization, and convexity theory, plus applications in operations research, electrical engineering, statistical mechanics, chemistry, molecular biology, pure mathematics, and computer science.
The 20 articles in Volume 1 deal with structures while the 24 articles in Volume 2 focus on aspects, tools, applications, and horizons.
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Рубрика: Математика /Алгебра /Комбинаторика /
Статус предметного указателя: Готов указатель с номерами страниц
ed2k: ed2k stats
Год издания: 1995
Количество страниц: 1281
Добавлена в каталог: 19.03.2005
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Предметный указатель
Sums of circuits 92 547
Sunflower 1296 1456
Sunflower theorem 2016
Sup-norm short vector problem 953
Superconcentrators 1754 1755 1758
Supercritical phases 360
Supermatroid 520 521
Supersolvable 2067
Suppes, P. 460 see D.
Support of a vector 603
Supporting hyperplane 1655
Suranyi, J. 266 see A.
surface 1487—1489 1491 1493
Suspense 2149 2151
Suspension 1844
Sutherland, J.W. 836
Svenonius, L. 640
Svrakic, N.M. 1105 1160 see V.
Swart, G. 881
Swart, H. 80 see R.C.
Swiercz, S. 672 673 683 701 2183 see C.W. see C.W.H.
Swierczkowski, S. 1440
Swift, J.D. 704 see Jr.M.
Swinnerton-Dyer, H.P.F. 933 958
Switching class 1499
Sykes, M.F. 1936
Sylow subgroup 639
Sylvester — Gallai theorem 812 813 1837
Sylvester's problem 812 817
Sylvester, J.J. 812 823 1959 2173 2177
Symmetric convex body 924 926 930 931 935 937
Symmetric design (SBIBD) 695 698 1511
Symmetric exchange axiom 579
Symmetric function 1056 2168
Symmetric greedy algorithm 580
Symmetric group 2053
Symmetry codes 794
Symmetry permutations 1966
Symmetry point group 1965
Symplcctic group 620
Symplectic polar space 663
SYNCHBM 1969 1970
Syndrome 777
SYNLMA 1970
Synthon 1969
Synthon stability 1969
Syslo, M.M. 308 2178 see J.W.
System of dislinct representatives (SDR) 185
System of imprimitivily 616
System uf parameters 2058
Systematic code 777
Szabo, C. 1012
Szcmeredi's regularity lemma 1340 1351 1557
Szegedy, M. 1008 1282 1482 1483 2005 see L. see P.
Szegoe, G. 762 1170 1212
Szekeres — Wilf bound 251
Szekeres, D. 1336 1348 see P.
Szekeres, G. 91 251 675 846 862 1153 1203 2184 see R.W. see P. see A. see A.
Szele, T. 1790
Szelepcsenyi, R. 1638
Szemeredi theorem 999 1004 1340
Szemeredi's lemma 1246
Szemeredi, A. 365 see J.
Szemeredi, E. 64 71 77 240 248 263 371 408 475 818 822 825 834 861 865 989 991 992 997 1012 1244 1246 1250 1266 1267 1280 1325 1340 1345 1347 1350 1351 1383 1438 1519 1629 1754 see M. see L. see B. see V. see P. see A. see A. see H.A. see J. see J. tee W.J. see J. see I.Z. see J.
Szpankowski, W. 1158
Szuecs, A. 1824 1865 see I.
Szybalski, W. 1997 see D.
Szymanski, K. 1961 1962 see J.V.
t-block 514
T-contractible graphs 217
T-cut 216
t-design 696 765 922 955 956 1707 2180 2183
T-join 215
t-perfect graph 271
t-tough graph 52
t-union property 1301
Tableaux 634 2063
Tactic 2181
Tail of a digraph 15
Tail of a walk 9 16
Tail's conjecture 56 188 2077 2078
Tait, P.G. 56 259 260 2077
Takacs, L. 2167
Talanov, V.A. 1137 see Y.V.
Tallini, G. 663 666 see F.
Tallini-Scafati, M. 665
tally 2149 2155
Talysheva, L.A. 459 see G.
Tamarkin, J.D. 1112 see J.A.
Tamassia, R. 313
Tamir, A. 399
Tangent numbers 1043
Tangential 2-block 515
Tanner, R.M. 1755
Tao, J. 86
Tardos, E. 114 125 128 135 161 521 572 581 583 955 1566 1578 1582 1583 1663 1682 1692 2016 see W. see A. see see M.V. see C.A.J. see J.K. see D.B.
Tardos, G. 1484 1495 see A.
Tarjan, R.E. 14 114 117 119 120 125 128 135 139 307 327 329 566 883 910 1458 1511 1582 1754 2018 2020 2025 2027 see M.L. see H. see M.R. see A.V. see M.V. see J.E. see W.J.
Tarry, G. 672 705 2182
Tarsi, M. 92 277 418 1772 see N. see U. see N.
Tarski's method 888
Tarski, A. 888 2095 2099 2100 see P. see H.J.
Tartan theorem 2144
Taskinov, V.A. 1770
Taubenan theorems 1118 1124
Taubenan theorems, Hardy — Ramanujan 1124
Taubenan theorems, Ingham 1129
Tavare, S. 1127 1167 1210 see R.
Taylor, A.-D. 1338 1369
Taylor, H. 277 406 see P.
Taylor, W.R. 1990
TDI see total dual integrality
te Ride, H. 955 see A.M.
Teague, D.N. 627 see P.J.
Teinperley, H.N.V. 1047 1946 1951
Teirlinck, L. 703 709 710 2184
Teller, A. 1558 see N.
Teller, E. 1558 see N.
Temkin, D.N. 1968 see D.
Temme, N.M. 1182
Tenenbaum, G. 992 see R.R.
Teo — Yap theorem 1278
Teo, S.K 1277 1278 see P.J.
Terao's conjecture 2072
Terao, H. 1822 2065 2068 2070—2073 see M. see P. see L.L. see L.
Term rank 187
Ternary Golay code 794
Terras, A. 958
Terwilliger, P. 768
Test cover problem 1894
Tetrahedral carbon atom 1960
tetrahedron 6
Thas, J.A. 657 659 661 662 665 667 676 685 see A.A. see J.W.P. see S.E.
Thevenaz, J. 1857
Thick geometry 651
Thickness 315
Thiel, L. 672—674 683 701 2183 see C.W. see C.W.H.
Thin poset 1862
Thinnest lattice covering 940
Thistlethwaite, M.B. 2078
Thomas, R. 238 258 304 334 344 1347 1355 1357 see I. see J. see N. see V.
Thomas, S. 1501
Thomason's lemma 69
Thomason, A. 277 361 370 371 376 377 see B. see J.
Thomason, A.G. 31 69 70 89 1256 1760 see B.
Thomassen, C. 5 16 17 18 29 32 35 36 37 54 59 62 65 68 73—75 76 77 79 82—84 113 151 153—155 158 162 165 169 223 260 262 277 306—308 311—313 315 317—320 326 327 338 340 536 1484 1489 1493 1494 2180 see J. see J.-C. see J.A. see V. see R. see S.L. see D.A. see S. see P.D.
Thomasson, A. 1349—1351
Thompson, C.D. 1574 see P.
Thompson, C.J. 1929 1930 1932 1943 1444
Thompson, J.G. 626 673 1498 see W. see F.J.
Thompson, J.W. 2183 see F.J.
Thomsen graph 6
Thorn, R. 1761
Thrackle conjecture 315
Threshold 361
Threshold connectedness 1461
Threshold function 2014 2015
Threshold spectrum 364
Thron, W.J. 1140 see W.B.
Thuillier, H. 74 see J.L.
Thurston, W.P. 1778 1779 see D.D.
Thyssen, A. 1000 see P.A.
Tian, F. 24 78
Tichy, R. 1103 see P.
Tichy, R.F. 1194 see P.
Ticker, A.C. 268
Tietavaeinen, A. 717 804
Tight cut 210
Tight design 697 1716
Tight set 567
Tijdeman, R. 991 1138 1440 see K. see R.J. see C.L.
Tilde-geometry 683
Tiling 921 923 941 944 945 956 1488 1490 1494
Time tabling problems 239
Timer 2155
Tindell, R. 119 see F.
Tinhofer, U. 220 see J.
Titchmarsh, E.C. 1092 1147 1152 1158 1212
Titov, V.K. 153
Tits buildings 1857
Tits geometry (GAB) 681
Tits, J. 663 664 675 676 679 682 704 1458 1478 1479 1503 1857 1864 see C.W. see W.M. see M.A.
Tiwari, P. 1744 see A.K.
Todd, J.A. 730 2183
Todd, M. 909
Todd, M.J. 1545 1863 1864 see R.M. see G.L.
Todorov, D.T. 705 714 see R.J.R.
Toerocsik, J. 1357 see D.
Toft, B. 75 153—155 166 236 238 241 242 244 246 252 254 258 see N. see D. see T.R. see K.E. see C.
Toida, S. 86
Tokushige, N. 1297 1308 1313 see P. see M.
Tolh, G. 1012 see C.
Toll 2155
Tollis, I.G. 313 see R.
Tomizawa, N. 1921 see M.
Tompa, M. 1755
Tonchev, V.D. 714 716 728 731 804 see E. see D.T.
Top element 1843
Topkis, D.M. 569 see R.E.
Topological dual Ramsey theorem 1370
Topological indices 1974 1975
Topological lines in 820
Topological representation theorem 1835
Topological resonance energy 1973
Topological Tverberg theorem 1829
Topologica] invariant 2078
topology 2176
Torgasev, A. 1973 1974 see D.M
Toric varieties 899 900 922 949 958 1841
toroidal 1492
Torus 237 261 262 318 1489 1492 1494
Total chromatic number 276
Total coloring conjecture 276
Total dual integrality (TDI) 208 556 1672 1673
Totally balanced hypergraph 384 395 398 399
Totally balanced matrix 398 399
Totally isotropic 663
Totally nonseparable 594
Totally ordered set 435
Totally singular 663
Totally unimodular 546
Totally unimodular matrix 397 531 544 596 1652 1663
Toth, B. 1936
Toth, P. 1903 see M.
Totten, J. 713
Touching numbers 838
Tough graph 51 1472
Toughness of a graph 52
Toulouse, G. 1947
Tournament 15 1453 1499 1511 1516 1751 1759 1760 1788 1792 1808
Tournament, edge transitive 1453
Tournament, Paley 1453
Tournament, self-converse 1453
Trace of a hypergraph 386 1299
Traceable graph 20
Trail 9
Trajan, R.E. 1778 1779 see D.D.
Trakhtenbrot, B.A. 1337
Tran van Trung 703 731 see Z. see E.
Transcendental number theory 958
Transfer matrix 1942
Transfer matrix method 1035
Transfer theorems 1164
Transference theorems 941
Transitive constituent 90
Transitive group 614
Transiton system 90
Translation 1467
Translatoin plane 669 796
Transportation polytope 1668
Transportation problem 2189
Transposition 1473 2169
Transtion 90
Transvection 656
Transversal 80 405 498 502 511 2170 2185
Transversal design 684 706
Transversal hypergraph 387
Transversal matroid 500 501 506 508
Transversal number 387 413
Transversal theory 503
Trapdoor function 2029
Traveling salesman polytope 1695
Traveling salesman problem 20 1548 1550 1553 1555 1556 1571 1586 1588 1634 1635 1879 2187
Treash, C. 713
Treblecross 2137
TREE 11 115 139 145 389 390 398 400 1481 2172 2176
Tree search 13
Tree width 328 1565
Tree, algebraic decision 1762 1763
Tree, alternating 190
Tree, balanced k-ary 2020
Tree, bicenter of 2177
Tree, bicentroid of 2177
Tree, binary 1034
Tree, binary search 2019
Tree, block cut-vertex 11
Tree, block-cutpoint 1457
Tree, breadth-first search 13
Tree, center of 1457 2177
Tree, centroid of 2177
Tree, decision 2005
Tree, depth-first search 14
Tree, Fibonacci 2021 2023
Tree, flow equivalent 207
Tree, Goimory — Hu 130
Tree, heights of binary 1199
Tree, labeled 2177
Tree, labeled, Cayley's formula for 1024
Tree, leftist 1197
Tree, minimum-length spanning 2187
Tree, ordered 1033
Tree, packing 1280
Tree, planted plane 1140
Tree, property 2090
Tree, rooted 1043
Tree, set theoretic 2090
Tree, shortest spanning 1545 1550 1579 2023
Tree, spanning 11 489
Tree, squashing of 2100
Tree, Steiner 1563 1564 1571 1573
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