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Graham R.L., Grotschel M., Lovasz L. Handbook of combinatorics (vol. 1)
Graham R.L., Grotschel M., Lovasz L.  Handbook of combinatorics (vol. 1)









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: Handbook of combinatorics (vol. 1)

: Graham R.L., Grotschel M., Lovasz L.

:

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.
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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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.
Szemeredis lemma      1246
Szemeredis 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
Tans 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.
Tarskis 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.      20702073
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.
Teraos 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.      672674 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.
Thomasons lemma      69
Thomassen, C.      5 17 18 29 35 36 54 59 62 65 68 7375 77 79 8284 113 151 153155 162 165 169 223 260 262 277 306308 311313 315 317320 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.      13491351
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.
Tickers 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
Times 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.      153155; 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 $\mathbb R^2$      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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