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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
Siran, J. 54 see P.
Sirovich, L. 1212
Site of a Boolean circuit 2012
Site percolation 1934
Size of a graph 5
Size of a hypergraph 386 1295
Size reduction 928 954
Skew-symmetric matrix 222
Skiena, S. 837 see H.
Skolem sequence 709
Skolem, Th. 709
Skolnick, M. 1993 see D.
Skupien, Z. 324 1260
Slade, G. 1940 see T. see N.
Slanina, Z. 1960
Slater, P.J. 398 1278
Sleator, D.D. 1778 1779
Sleator, D.D.K. 128
Sleiner, J. 2181
Sleinhaus, H. 2145
Slimmest arrangements of hyperplanes 831
Slipectorov, S.V. 768 see A.A.
Sloan, N.J.A. 1992
Sloane, N. 821 823 see S.
Sloane, N.J.A. 673 703 721 727 729 750 763 765 776 780 793 794 796 797 801 802 806 923 936 938 940 958 1076 1108 1142 1144 1473 1722 2144 2145 2183 see A.V. see E. see M.R. see A.R. see J.A. see J.H. see Jr.A.R. see F.J. see C.L. see V.
Sloekmeyer, L.J. 1623 1625 1629 see A.K. see A.R.
Slurtevant, D. 1285 1286 1823 1853 see J.
Small maximal degree 1279
Small singularities 1148 1163
Smallest last ordering 245
Smetaniuk, B. 713
Smith theorem 60
Smith, C.A.U. 2135 2137 2145 2149 2150 see P.M. see R.K.
Smith, D.H. 629 1506 see N.L.
Smith, H.O. 1994 see D.
Smith, K.J.C. 716
Smith, M.S. 729
Smith, S.D. 1857
Smith, T.F. 1991 1992 see J.A. see M.S.
Smolensky, R. 1744 2016 see A.K.
Smythe, R.T. 1938
Snake-oil method 1078 1100
Snarks 275
Snay, R.A. 1913 see J.R.
Sneddon, I.N 1192
Snell, J.L. 1484 1740 1744 see P.G.
Snerner's lemma 444 1862 2186
Snover, S.L. 796
Snpermodular function 570
Snyder, L. 1285 see R.J.
Socle 617
Soli, P. 797 1124 see A.R. see D. see Jr.A.K.
Solitar, D. 1494 1751 see W.
Solomon, L. 761 2068 2072 see R. see P.
Solomon, R. 637 1504 see P.J. see D.
Solovay, R. 1354 1355 1612 1621 2102 2115 see T. see J.
Solvable in polynomial time 1662
Soria, M. 1191 see P.
Sorting 1758
Sorting network 1754
Sos, V.T. 76 377 715 834 835 990 1240 1241 1340 1347 1383 1407 1438 1440 1441 1474 1482 see L. see Y. see P. see H. see R.
Soteros, C.E. 1939 see S.G.
Sotteau, D. 90 392 see B. see J.-C.
Soumis, F. 1885 see M.
Soundararajan, K. 1008 see R.
Source 15 906
Space complexity 1610 1637
Space groups 922 941 943
Span of a bridge 58
Spanier, E.H. 1842 1843 1846 1847 1850 1859 2069
Spanning sets 484 492 512
Spanning subgraph 7
Spanning subgraph problem 2011
Spanning supergraph 7
Spanning tree 11 489
Sparks, N. 1357
Sparse graph 239
Sparse Hales — Jewett theorem 1387
Spectrum 1972
Spence, E. 731
Spencer, D.C. 1345 see R.
Spencer, J. 364 365 369 373 375 422 459 834 836 1112 1210 1213 1333 1236 1276 1277 1279 1346 1351 1366 1371 1373 1375 1387 1410 1411 1415—1419 1420 1421 1425 1426 1475 1787 1788 1802 1808 see N. see L. see J. see P. see L. see J. see J.E. see N. see E. see S.
Spencer, J.E. 377 see R.L.
Spencer, J.H. 72 408 410 425 999 1004 1006 1210 1212 1333 1344 1347 1359 1389 1759 2093 2185 see M. Alon N. see S.A. see R.L. see N.
Sperner family 2186
Sperner k-family 438
Sperner poset 444
Sperner theorem 1296
Sperner, E. 444 1270 1296 1862 2186
Sphere 778 880 883 1836 1846
Spherical building 679
Spherical GAB 681
Spieker, B. 2007
Spilzer, F. 1744
Spin glass 1946 1947 1950
Spinster 2139
Split graphs 266
Split off 154
Splitting of vertex 241
Sporadic group 622
Sprague — Grundy theory 2134
Sprague, A. 666 683
Sprague, R.P. 2133 2139
SPREAD 669
Spreads on quadrics 796
Spriggs, J.R. 1913
Sprinrad, J. 590
Sprott, D.A. 730 see R.G.
Sprouts 2160
Square design 650 695
Square lattice graph 684
Square of a graph 52
Squashing of a tree 2100
Sreedharan, V. 885 893 see B.
Srhrijver graph 240
st-path 146
Stabiliser 615
Stability molecules 1973 1974
Stability number 40 387 406 422 1591
Stable property 1257
Stable-set polytope 219 269 1591 1667 1687 1693
Stable-set problem 1592 1617
Stableset 40 43 181 225 243 262 387 405 1299 1591 1641
Stacked polytope 899 902
Stahl, S. 321 326
Stallmann, M. 560 561 579 see H.
Standard example 456
Standard monomials 2059
Standard normal distribution 366
Standard tableaux 635 2064
Stankcvich, M.I. 1975
Stankevich, I.V. 1975 see M.I.
Stanley Reisner ring 1855 1059
Stanley, R.P. 435 450 895—898 900—902 947 949 1023 1039 1055 1058 1088 1089 1098 1104 1109 1111 1114 1213 1708 1710 1711 1723 1751 1779 1780 1839—1842 1854 1856—1858 1944 2060 2061 2067 2072 see A.
Stanton — Cowan numbers 1988
Stanton, D. 765 839 1023 1048 1053 see E.
Stanton, R.G. 714 715 730 see E.J.
Star 6 386 387 1280 1845 2123
Star body 924
Star system 1518
Star-shaped 850
Star-triangle transformation 1946
Star-two 2126
Stationary 2114
Stationary distribution 1558
Stationary phase method 1094
Statistical mechanics 1210
Stearns, R.E. 1549 1628 see J. see D.J.
Steckin, B.S. 1275 see P.
Steele, J.M. 1762
Steger, A. 1255 see H.J.
Stegun, l.A. 1090 see M.
Steiger, W. 865 see J.
Steiger, W.L. 991 see J.
Steiglitz, K. 183 1659 see C.H.
Steimtz theorem 310
Stein, P.R. 1992
Stein, S. 864
Stein, S.K. 409 418 1548
Steinberg, L. 893 see A.
Steinberg, R. 236 260 620
Steiner quadruple system 703 1498
Steiner system 499 500 696 751
Steiner tree 1563 1564 1571 1573
Steiner triple system (STS) 654 708 1456 1498 1501 1511 2181
Steinitz problem 878 885
Steinitz — Maclane axiom 485
Steinitz, E. 878 882 885 899 1655
Steinlein, H. 1864
Steinparz, F. 220 see J.
Stellar subdivisions 902
Stellmacher, B. 1504 see A.
Stembudge, J.R. 1712
Stepanov, V.E. 354 361
Sterboul, F. 220
Stercoisomers 1960 1965 1970
Stevens, W.L. 2182
Stewart, B.M. 1238 see E.A.
Stewart, C.L. 991 see P. see K.
Stibcartesian product 615
Stiebitz, M. 236 242 254 255 277 2167 see H. see H.
Stiegler, G.J. 2189
Stinson, D.R. 711 712 714 730 see E.J. see E. see R.
Stirling numbers 1095 1182
Stirling numbers of the first kind 1025 1027 1041
Stirling numbers of the second kind 1041
Stirling's formula 1067 1076 1091 1173 1179
Stockmeyer, L. 246 see M.R.
Stockmeyer, P.K. 1521
Stoehr, A. 987
Stoer, J. 1654
Stoer, M. 1573 see M.
Stolarsky, K..B. 1194 1437
Stone, A.H. 239 836 1243 1244 see P.
Stong, R. 89
Stong, R.E. 1844 1854 1857
Straight line program 1519
Straight, H.J. 1281
Straightening syzygies 2062
Strambach, K. 639 see A.
Strange, K.E. 166
Strassen, V. 1612 2016 see R.
Straus, E.G. 705 848 862 863 865 1371 see S. see P. see R.L. see A.W.
Street, A.P. 712 730 752 2182 see W.D.
Street, D.J. 2182 see A.P.
Stresses 900
Strict complete digraph 15
Strict digraph 15
Strict xyz-conjecture 446
String graph 314
Strommer, T.O. 821 822
Stromquist, W.R. 262 see M.O.
Strong (strongly connected) digraph 16
Strong Chvatal rank 1692
Strong circuit axiom 489 493
Strong component 115
Strong component of a digraph 16
Strong connectivity 34
Strong edge connectivity 34
Strong generating set 637
Strong generating set (SGS) 1517
Strong irregularity 1440
Strong map 509 510
Strong perfect graph conjecture 268
Strong product 1464 1466 1736
Strongly -salurated 1268
Strongly compact 2092
Strongly connected 115 119
Strongly connected complex 1856
Strongly Hamilton — connected digraph 68
Strongly Hamiltonian 80
Strongly inaccessible cardinal 2112
Strongly k-connected 34
Strongly k-edge-connected 34
Strongly polynomial algorithm 135 1583 1584 1663
Strongly reconstructible 1465
Strongly regular graph 684 750 1462 1501 1513
Strongly stable set 387 417
Strongly, -complete 1619
Stroock, D. 1559 1742 see P. see R.
Structural formula 1959
Structural Ramsey theorem 1337 1377 1378
Structure of type 1377
STS see Steiner triple system
Sturmfels, B. 520 603 882 887 888 889 890 894 1822 1835 1837 1843 1861 2059 2063 2066 see A. see J.
Subadditive ergodic theorem 1997
Subadditive function 1937
Subadditive stochastic processes 1937
Subcritical phases 360
Subdirect product 1460
Subdivision 17 256 1859
Subgraph, bipartite 1696
Subgraph, bridge of 40
Subgraph, chord of 40
Subgraph, color-critical 254
Subgraph, Eulerian 1581
Subgraph, excluded 1475
Subgraph, forbidden 1268 2178
Subgraph, induced 8
Subgraph, induced forbidden 1254
Subgraph, spanning 7
Subgraph, unicyclic 1550
Subgroup 1966
Subgroup lattice 1857
Subhypergraph 386 397
Sublatttce 924 954
Submatroid 494
Submodular flow algorithm 575 577
Submodular flows 573
Submodular function 485 501 502 510 521 566 1676
Submodular function minimization 568
Submodular polyhedra 571
Submodularity 497
Subscheme 766
Subset sums 991
Subset-sum problem 954 1562 1585 1618 1613 2030
Subsets ordered by inclusion 459
subspace 484 696
Subspace lattice 1501
Substituents 1965
Substitutional isomers 1964
Subsynthons 1969
Subtraction 1043 1049
Subtraction games 2135
Subtraction of singularities 11
Subtree disjointness problem 2011
Successive minimum 925 926
Successive minimum with respect to K 925
Successor cardinal 2112
Successor ordinal 2110
Succinct certificate 14
Sudan, M. 1592 see D.
Sugihara, K. 1913 1919—1922
Sulyok, M, see Komlos, J. 1418
Sum of games 2124
Sum sets 983
Summation by parts 1078
Summation function 2014
Sumner, D. 62 66 see M.
Sumner, D.P. 66 1280 see D.J.
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