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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.
Язык: Рубрика: Математика /Алгебра /Комбинаторика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1995Количество страниц: 1281Добавлена в каталог: 19.03.2005Операции: Положить на полку |
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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 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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