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Graham R.L., Grotschel M., Lovasz L. — Handbook of combinatorics (vol. 2)
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.


Язык: en

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

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Tree, unlabeled      1197
Triangle-free graph      239 240 250
Triangle-hypergraph      1382
Triangles      10 821 936 940
Triangles of different areas      845
Triangles of unit area      844
Triangular graph      684 750 751
Triangulated manifold      902
Triangulated sphere      894
Triangulation      266 1563 1843
Triangulation of a convex polygon      1562
Tribulations      2146
Trinajstic, N.      1958 1961 1962 1973 1974 1977 see A. see J.V.
Triple bond      1960
Triplicate Nim      2137
Trjitzinsky, W.J.      1137 see G.D.
Trofimov, V.I.      1479 1480
Trokova, V.      1499 see A.
Trotter, Jr.L.E.      219 268 1574 1664 1685 1694 1695 see S. see R.G. see R. see H.-C. see G.L.
Trotter, W.T.      240 435 438 443 448 454 455 456 458 459 460 462 463 465 468 472 473 474 475 476 818 822 825 834 1340 1347 1629 see N. see K.P. see G. see V. see D. see P. see S. see P.C. see Z. see D. see H. see H.A. see W.J. see G.W. see W. see J. see E.
Truemper, K.      523 534 536 542 546 584 585 588 592 597-600 602 1665 see B. see F.T.
Truncated transversal design      707
Truncation      507
Truss, J.K.      1474
Tseng, F.T.      534 536 602
Tucker's lemma      1864
Tucker, A.      400
Tucker, T.W.      305 321 325 1487 1489 1492 1493 see J.L.
Tuma, J.      444 see P.
Turan conjecture      1320
Turan graph      1234
Turan number      715
Turan theorem      12 1234 1794 1808
Turgeon, J., see Bcrmond, J.-C.      710
Turin, G.      1713 2005 2011 see A.
Turin, P.      263 834 835 838 1234 1240 1339 2179 see P. see P.
Turing      1622
Turing machine      1603—1605 1607—1609 1613 1614 1616 1622 1627 1630
Turing, A.M.      1604 1605
Turner, J.      1497 see B.
Turning Turtles      2141 2144
Turull, A.      637 see P.J.
Tuttc polynomial      512 667 1930 1940 2073 2077 2078
Tutte circuit      66
Tutte complex      1833
Tutte theorem      58 189 248
Tutte — Berge formula      1652
Tutte — Groethendieck invariant      511
Tutte's 4-flow conjecture      513
Tutte's 5-flow conjecture      513
Tutte's conjecture      277
Tutte's homolopy theorem      1833
Tutte, W.T.      52 56 58 60 92 145 150—152 188 189 211—213 236 238 248 256 264 274 277 291 292 295—297 304 308 310 311 323 483 491 513 515 522 529 531—534 539 548 584 586 591 593 842 844 891 910 1273 1503 1521 1557 1588 1729—1731 1833 1834 2178 2186 see P. see F. see R.C. see H.
Tutte, W.T. (Blanche Descartes)      1385
Tuza, Z.      83 236 407 415 417 1272 1273 1313 1315 1316 1318 1319 1325 see A. see L. see J.
Tverberg theorem      1829
Tverberg, H.      308 849 858 1829
Twin Prime Conjecture      971
Twin prime constant      974
Twin primes      976
Twisled group      620
Two-coloring      1792
Two-coloring of regions      820
Two-distance sets      839
Two-person games      2189
Two-sided generalized Fibonacci sequences      1135
Two-way infinilc path      2089
Two-weight codes      804
Tyichonov's product theorem      2092
Type of a path      31
Type-map      1858
Type-selected subcomplex      1858
Tyshkevich, R.I.      1514 2054 see V.M. see V.N.
Uhry. J.P.      219 1947 see F. see I.
Ulam, S.      2099
Ulehla, J.      2160
Ullman, J.D.      14 1601 1604 2009 2018 see A.V. see J.E.
Ultrafilters      1369
Umbral calculus      2170
Umt-cost RAM      1608
Unavoidable configurations      237
Unbounded polyhedra      903
Uncle Paul      1810
Uncrossing procedure      1566
Undccidabie language      1605 1606
Underlying graph      15
Underlying matruid      1835
Undirected-graph reachability      1638
Undirected-graph reachability problem      1638 2017
Ungar, P.      312 344 826
Unicyclic subgraph      1550
uniform      241 419 1604
Uniform convergence      1073 1083
Uniform density lemma      1246
Uniform hypergraph      387 392 408 415
Uniform matroid      486 489 491 494 497
Uniform random graph      353
Uniformly disinbuted sequences      1427
Uniformly packed codes      802 804
Unimodal      1077 1080 1711
Unimodal conjecture      511
Unimodalily      832
Unimodality conjecture      815
Unimodular hypergraph      395 397
union      7 501 502 506 2149 2153 2158
UNION operation      2024 2026
Union property      1305
UNION-FIND structure      2023 2024
Union-free family      1324
Uniprimitive coherent configuration      2055
Uniprimitive group      2054
Uniprimitive permulation group      2053
Uniquely decodable code      1028 1029
Uniquely Hamiltonian multigraph      80
Uniquely solvable      1913
Unit ball      925
Unit circle      847
Unit-dislance graph      834
Unitary group      620
Unitary polar space      663
Universal cover      681 1488
Universal models      516
Universal shadow-boundary property      884 886
Unknot      2073 2075
Unlabeled graph      1060
Unlabeled tree      1197
UP      2126
Up-down permutations      1043 1046
Upper asymptotic density      935 982
Upper rank      1547
Upper-dound theorem      901 902 904 909
Upstar      2126
Vaaler, J.      930 958 see E.
Valence isomers      1965
Valentine, F.A.      853 857 see A.
Valiam, L.J.      1731
Valiant, L.      1629 see J.
Valiant, L.G.      221 1558 1627 1755 see M.R.
Valtr, P.      1336 see J.
Value of a flow      1669
Vamos matroid      659
Vamos, P.      505 506
van Aardenne-Ehrenfest, T.      1428
van Bon, J.      1506
van den Heuvel, J.      61 73 see H.J.
Van der Corput theorem      930
van der Corput, J.G.      930 1428
van der Geer, G.      667 see J.H.
van der Poorten, A.      1110 see L.
Van der Waerden iheorem      999 1338 1799 2185
Van der Waerden numbers      1341
Van der Waerden's conjecture      947 1208
Van der Waerden, B.L.      507 1338 1408 1751 1776 2185
van Emde Boas, P.      953 956 1284 1285 1769 1770 see M.R.
van Hemmen, J.L.      1951
van Hoesel, D.      164
Van Kampen — Flores theorem      1843
van Laarhoven, P.J.M.      1906
van Leeuwen, J.      1601
van Leyenhorst, D.C.      730
van Lint, J.H.      667 715 717 719 729 730 750 753 754 765 776 779—781 788 789 793 794 796 802—804 805 806 947 1729 see A.E. see P.J. see H.J.L.
van Rees, G.H.J.      705 714 730 see J.A. see A.E. see D.R.
van Tilborg, H.      704
van Tilborg, H.C.A.      802 804 see J.-M.
van Vliel, A.      1552
van Wassenhove, L.      1885 see M.L.
Vanslone, S.A.      714 see E.R.
Vapnik — Cervonenkis (VC) dimension      1299 1522 1523 1577
Vapnik, V.N.      1577
Varadarajan, V.S.      1137
Vardi, M.      1337 see P.O.
Variable-length string      1971
Variance      1794 1795 1814
Variety      649 1762
Variety of geometries      516
Varopoulos, N.Th.      1484
Vassiliev, V.A.      2073
Vaughan, H.E.      2185 see P.R.
Vaughan, R.C      982 990 see H.L.
Vazirani, U.      1464 sec N.
Vazirani, U.V.      224 225 1589 1732 1803 see K.
Vazirani, V.      193 223
Vazirani, V.V.      224 225 1558 1589 1732 1803 see M.R. see K.
Vazsonyi's conjecture      343
Vcclor sums      1419
Veblen — Young axiom      651
Veblen, O.      9 514 650 2181
Vecchi, M.P.      1559 1950 see S. see S.
Vector space      483 498 1968
Vectorial matroid      486
Vedder, K.      699 see D.
Veinott, A.F., see Erickson, R.E.      1565
Veldkamp, F.D.      663
Veldman, H.J.      42 53 61 73 157 see D. see H.J.
Vershik, A.M.      886 1155
Vertex      5 18 383 386 877 878 1843
Vertex adjacency matrix      1970
Vertex connectivity      370
Vertex covering      42 81
Vertex cut      34
Vertex of a polyhedron      1655
Vertex of attachment      40
Vertex packing      81
Vertex partition      81
Vertex stabilizer      1452
Vertex-critical graphs      268
Vertex-decomposable complex      1854
Vertex-primitive      1452 1453 1460 1470 1476 1505
Vertex-transitive      1460 1479
Vertex-transitive graph      64 1452 1453 1464 1468—1473 1475 1477 1480—1482 1487 1488 1491 1493 1494 1500 1504
Vertigan, D.L.      516 see F.
Very pure free monoid      1031
Very strong perfect graph      269
Vesztergombi, K.      836 837 840 1415—1417 see P. see L.
Via minimization      1568
Vidyasankar, K.      144
Vilfan, B.      1351
Vince, A.      362 1857 see A.
Vincensini, P.      851 856
Vine      37
Vine lemma      37
Vingron, M.      1990
Virasoro, M.A.      1947 see M.
Vishkin, U.      128 see Y.
Vitter, J.      1071
Vizing theorem      271 272 274 375
Vizing, V.G.      249 271 272 276 277 2179 see L.S.
Vladut, S.G.      667 see V.G. see Y.A.
Vogt, E.      1487 1488 1491 see H.
Voigt, B.      77 375 376 1267 1333 1360 1361 1363 1366 1367 1368 1379 1381 1389 1393 see W. see A. see T. see H.J.
Voigt, B.F.      2188
Volodin, I.A.      888
Voltage sources      1913
Volume      925
von Neumann, J.      187 2133 2189
von Slaudt, K.G.C.      2181
von zur Galhen, J.      952
Voorhoeve, M.      715 see A.E.
Vopenka, P.      1461
Vornienko, N.M.      2054 see V.N.
Voronoi region      945
Voronoi, G.      945
Voss, H.J.      5 39 58 61 255 see H.
Vrecica, S.T.      1829 1845 1850 1865 see A. see R.T.
Vuillemin, J.      1194 1285 see P. see R.L.
Vuskovic, K.      397 see M.
Wachs, M.      1854 1855 2061 see A.
Wachs, M.L.      1857
Wagner's equivalence theorem      238 258 332
Wagner, A.      632 653 654 1468 see P. see D. see T.G.
Wagner, D.G.      1111 see F.
Wagner, D.K.      594 see R.E.
Wagner, G.      1440 1441 see R.
Wagner, K.      238 258 304 305 312 331—333 335 515 532 538 540
Wagon, S., see Klee, V.      811 890
Wailis, W.D.      712 730 752 see A.
Wainer, S.      1354
Waiting times      1112
Wakabayashi, Y.      1573 1696 1892—1894 see M.
Wales, O.      731 see Jr.M.
Walk      114 1725
Walk generating function      1726
Walker, J.W.      1826 1827 1845 1848 1849 1852 1857 1858 1864 see A. see M.L.
Walker, K.      1349
Walker, M.      676
Walker, R.      704 see Jr.M.
Walks in the plane      1028
Walkup, D.W.      899 908 1656 see V. see P. see P.
Wall, C.E.      63 see M.
Wall, C.S.      334 342 2178 see H.H.
Wallher, H.      5 61 66 see R.
Wallis, J.S.      712 730 752 see W.D.
Wang, S.M.P.      705
Wang, T.      1970
Wang, Y.      958 see L.K.
Ward, S.E.      1969—1971 see J.E.
Waring's problem      982 1185
Warmulh, M.K.      1299 see A.
Warren theorem      466
Warren, H.E.      466 1761 1763
Wasow, W.      1137 1212
Watanabe, H.      1921 see T.
Watanabe, T.      150
Waterman, M.S.      1103 1134 1187 1188 1985 1988 1989 1990 1991 1992 1994 1995 1996 1997 see R. see L. see J.R. see J.A. see P.R.
Watkins, M.      1470 see L.
Watkins, M.E.      36 158 1469 1500 1502 see D.M.
Watson's lemma      1095
Wayland, K.      87 see K.B.
Weak k-linkage      35
Weakly $\mathscr{F}$-saturatcd      1273
Weakly compact cardinals      2100
Weakly Hamilton-connected digraph      68
Weakly reconstructible      1456
Weakly saturated graphs      1273
Webb, P.J.      1822 1857
Weddcrburn theorem      649 652
Wedderburn, J.H.M.      2181 see O.
wedge      1845
Wedge of spheres      2069
Wegner, G.      896
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