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Graham R.L., Grotschel M., Lovasz L. — Handbook of combinatorics (vol. 1)
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Íàçâàíèå: Handbook of combinatorics (vol. 1)Àâòîðû: Graham R.L., Grotschel M., Lovasz L.Àííîòàöèÿ: 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 Grotschel, and Laszlo Lovasz, 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.
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System of parameters 2058 Systematic code 777 Systo, M.M. 308 2178; J.W.” Szabo, C 1012 Szegedy, M. 1008 Szegedy, M.A. 1482 1483 2005; L. Szegedy, M.B. 1282; see “Hajnal P.” Szego, G. 762 1170 1212 Szekeres — Wilf bound 251 Szekeres, D. 1336 1348; P.” Szekeres, G. 91 251 1203 Szekeres, G.A. 675; see “Ahrens R.W.” Szekeres, G.B. 846 862 2184; P.” Szekeres, G.C. 1153; see “Knopfmacher A.” Szekeres, G.D. 1203; see “Renyi A.” Szele, T. 1790 Szelepcsinyi, R. 1638 Szemeredi theorem 999 1004 1340 Szemeredi, A. 365; see “Komlos J.” Szemeredi, E. 475 818 822 825 992 1246 1340 1347 1351 Szemeredi, E.A. 408 989 1350 1754; M.” Szemeredi, E.B. 371; see “Ajtai M.” Szemeredi, E.C. 1519; see “Babai L.” Szemeredi, E.D. 1250; see “Bollobas B.” Szemeredi, E.E. 991 997 1012 1383; P.” Szemeredi, E.F. 64 1244 1246 1340 1347; V.” Szemeredi, E.G. 77 1266 1267; A.” Szemeredi, E.H. 248 263 1280; A.” Szemeredi, E.I. 240; see “Kierstead H.A” Szemeredi, E.J. 71 861 1350 1438; J.” Szemeredi, E.K. 865; see “Pach J.” Szemeredi, E.L. 1629; see “Paul W.J.” Szemeredi, E.M. 991; see “Pintz J.” Szemeredi, E.N. 1325 1345; I.Z.” Szemeredi, E.O. 834; see “Spencer J.” Szemeredi’s lemma 1246 Szemeredi’s regularity lemma 1340 1351 1557 Szpankowski, W. 1158 Szucs, A. 1829 1865; I.” Szybalski, W. 1997; see “Daniels D.” Szymanslci, K. 1961 1962; 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, P.G. 56 259 260 2077 Takacs, L. 2167 Talanov, V.A. 1337; see “Glebskii Y.V.” Tallim-Scafali, M. 665 Tallini, G. 666 Tallini, G.A. 663; see “Mazzocca F.” tally 2149 2155 Talysheva, L.A. 459; see “Hurlbert G.” Tamarkin, J.D. 1112; see “Shohat J Tamassia, R. 313 Tamir, A. 399 Tangent numbers 1043 Tangential 2-block 515 Tanner, R.M. 1755 Tan’s conjecture 56 188 2077 2078 Tao, J. 86 Tardos, E.A. 135 161 521 583 2016 Tardos, E.B. 1692; see “Cook W.” Tardos, E.C. 572 581 955 1583 1663 1682; A.” Tardos, E.D. 114 125 128; A.V.” Tardos, E.E. 1582; see “Goldberg M.V.” Tardos, E.F. 1566; see “Hurkens C.A.J.” Tardos, E.G. 1578; see “Lenstra J.K.” Tardos, E.H. 1578; see “Shmoys D.B.” Tardos, G. 1495 Tardos, G.A. 1484; see “Fiat A.” Tarjan, R.E. 14 117 119 120 139 329 2018 2025 2027 Tarjan, R.E.A. 2020; see “Fredman M.L.” Tarjan, R.E.B. 566; see “Gabow H.” Tarjan, R.E.C. 910; see “Garey M.R.” Tarjan, R.E.D. 114 125 128 135; A.V.” Tarjan, R.E.E. 1582; see Goldberg M.V Tarjan, R.E.F. 307 327 883 1458 1511; J.E.” Tarjan, R.E.G 1754; see “Paul W.J.” Tarry, G. 672 705 2182 Tarsi, M. 277 1772; N.” Tarsi, M.A. 92; see “Jamshy U.” Tarsi, M.B. 418; see “Linial N.” Tarski, A. 888 Tarski, A.B. 2095 2099; P.” Tarski, A.C. 2100; see “Kiesler H.J.” Tarski’s method 888 Tartan theorem 2144 Taskinov, Y.A. 1770 Tauberian Hardy — Ramanujan 1124 Tauberian Ingham 1129 Tauberian theorems 1118 1124 Tavare, S.; see Arratia, R. 1127 1167 1210 Taylor, A.D. 1338 1369 Taylor, H. 277 406; P.” Taylor, W.R. 1990 TDI see “Total dual integrality” te Ricle, H. 955; see “Odlyzko A.M.” Teague, D.N. 627; see “Cameron P.J.” Teirlinck, L. 703 709 710 2184 Teller, A. 1558; see “Metropolis N.” Teller, E. 1558; see “Metropolis N.” Temkin, O.N. 1968; see “Bonchev D.” Temme, N.M. 1182 Temperley, H.N.V 1047 1946 1951 Tenenbaum, G. 992; see “Hall R.R.” Teo — Yap theorem 1278 Teo, S.K. 1277 1278 Teo, S.K.A. 1278; see “Slater P.J.” Terao, H. 2070—2073 Terao, H.A. 2068 2072; M.” Terao, H.B. 1822 2065 see P.” Terao, H.C. 2072; see “Rose L.L.” Terao, H.D. 2072; see “Solomon L.” Terao’s conjecture 2072 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. 659 661 662 685 Thas, J.A.A. 661 662 667; A.A.” Thas, J.A.B. 657 665; J.W.P.” Thas, J.A.C. 676; see “Payne S.E.” Thevenaz, J. 1857 Thick geometry 651 Thickness 315 Thiel, L. 672—674 683; C.W.” Thiel, L.A. 701 2183; C.W.H.” Thin poset 1862 Thinnest lattice covering 940 Thistlethwaite, M.B. 2078 Thom, R. 1761 Thomas, R B. 1355; see “Nesetfil J.” Thomas, R. 344 Thomas, R.A. 1357; see “Kriz I.” Thomas, R.C. 238 258 304 334; N.” Thomas, R.D. 1347; see “Rodl V.” Thomas, S. 1501 Thomason, A. 376 377 Thomason, A.A. 277 361 370 371; B.” Thomason, A.B. 377; see “Haviland J.” Thomason, A.G. 31 69 70 89 Thomason, A.G.A. 1256 1760; B.” Thomason’s lemma 69 Thomassen, C. 5 17 18 29 35 36 54 59 62 65 68 73—75 77 79 82—84 113 151 153—155 162 165 169 223 260 262 277 306—308 311—313 315 317—320 326 327 338 340 536 1484 1489 1493 1494 2180 Thomassen, C.A. 68; see “Bang-Jensen J.” Thomassen, C.B. 17 77 82; J.-C.” Thomassen, C.C. 32; see “Bondy J.A.” Thomassen, C.D. 16; see “Chvatal V.” Thomassen, C.E. 37 76 77 158; R.” Thomassen, C.F. 79; see “Hakimi S.L.” Thomassen, C.G. 37 62; D.A.” Thomassen, C.H. 1484; see “Markvorscn S.” Thomassen, C.I. 17 18; P.D.” Thomasson, A. 1349—1351 Thompson, C.D. 1574; see “Raghavan P.” Thompson, C.J. 1929 1930 1932 1943 1944 Thompson, J.G. 1498 Thompson, J.G.A. 626; see “Feit W.” Thompson, J.G.B. 673; see “MacWilliams F.J.” Thompson, J.W. 2183; see “MacWilliams F.J.” Thomsen graph 6 Thrackle conjecture 315 Threshold 361 Threshold connectedness 1461 Threshold junction 2014 2015 Threshold spectrum 364 Thron, W.J. 1140; see “Jones W.B.” Thuillier, H. 74; see “Fouquet J.L.” Thurston, W.R. 1778 1779; D.D.” Thyssen, A. 1000; see “Pritchard P.A.” Tian, F. 24 78 Tichy, R. 1103; see “Flajolet R.” Tichy, R.F. 1194; see “Flajolel P.” Ticker’s lemma 1864 Tielavaincn, A. 717 804 Tight cut 210 Tight design 697 1716 Tight set 567 Tiiran conjecture 1320 Tijdeman, R. 1440 Tijdeman, R.A. 991; see “Gyory K.” Tijdeman, R.B. 1138; see “Kooman R.J.” Tijdeman, R.C. 991; see “Stewart C.L.” Tilde-geometry 683 Tiling 921 923 941 944 945 956 1488 1490 1494 Time tabling problems 239 Timer 2155 Time’s 4-flow conjecture 513 Tindell, R. 119; see “Boesch F.” Tinhofer, G. 220; see “Mohlbacher J.” Titchmarsh, E.C. 1092 1147 1152 1158 1212 Titov, V.K. 153 1452 Tits buildings 1857 Tits geometry (GAB) 681 Tits, J. 663 664 675 676 679 682 704 1458 1478 1479 1503 1857 Tits, J.A. 1864; see “Curtis C.W.” Tits, J.B. 682; see “Kantor W.M.” Tits, J.C. 679; see “Ronan M.A.” Tiwari, P. 1744; see “Chandra A.K.” Todd, J.A. 730 2183 Todd, M. 909 Todd, M.J. 1863 Todd, M.J.A. 1864; see “Freund R.M.” Todd, M.J.B. 1545; see “Nemhauser G.L.” Todorov, D.T. 705 714 Todorov, D.T.A. 705; see “Abel R.J.R.” Toft, B. 241 242 244 246 254 258 Toft, B.A. 75; see “Dean N.” Toft, B.B. 252; see “Hanson D.” Toft, B.C. 236 238; T.R.” Toft, B.D. 166; see “Strange K.E.” Toft, B.E. 153—155; see “Thomassen C.” Toida, S. 86 Tokushige, N. 1297 1308 1313; P.” Tokushige, N.A. 1297; see “Matsumoto M.” Toll 2155 Tollis, I.G. 313; see “Tamassia R.” Tomizawa, N. 1921; see “In M.” Tompa, M. 1755 Tonchev, Y.D. 716 728 731 804 Tonchev, Y.D.A. 731; see “Spence E.” Tonchev, Y.D.B. 714; see “Todorov D.T.” Tone varieties 899 900 922 949 958 1841 Top element 1843 Topkis, D.M. 569; see “Bixby R.E.” Topological dual Ramsey theorem 1370 Topological indices 1974 1975 Topological invariant 2078 Topological lines in 820 Topological representation theorem 1835 Topological resonance energy 1973 Topological Tverbcrg theorem 1829 topology 2176 Torgasev, A. 1973 1974; D.M.” Torocsik, J. 1357; see “Larmann D.” 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 43 Totally singular 663 Totally unimodular 546 Totally unimodular matrix 397 531 544 596 1652 1663 Toth, B. 1936 Toth, G. 1012; see “Szabo C.” Toth, P. 1903; see “Fischetti M.” Totten, J. 713 Touching numbers 838 Tough graph 51 1472 Toughness of a graph 52 Toulouse, Q. 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; D.D.” Trakhtenbrot, B A. 1337 Tran van Trang 703 731 Tran van Trung A. 731; see “Janko Z.” Tran van Trung B. 731; see “Spence E.” Transcendental number theory 958 Transfer matrix 1942 Transfer matrix method 1035 Transfer theorems 1164 Transference theorems 941 Transition 90 Transition system 90 Transitive constituent 614 Transitive group 614 Translation 1467 Translation plane 669 796 Transportation polytope 1668 Transportation problem 2189 Transposition 1473 2169 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
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