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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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Предметный указатель
Mahler's selection theorem 931 Mahler, K. 926 931 1206 Mahlo cardinals 2098 Mahmoud, U.S. 1204 1205 1210 1213 Mahto, P. 2098 Mahtz, S.M. 317 Maier, H. 981 991 see P. Maillet, E. 625 Main, R.A. 507 508 see A.W. Majindar, K.N. 700 1708 Majority function 2013 2014 Majumdar's inequality 700 Majumdar, K.N. 700 Makai. E. 831 836 see P. Makespan 1578 Malchstick geometries 516 Male, A. 1336 1389 2093 see P. Malgrange, B. 1137 Malher, J. 1849 1851 Malhotra, V.M. 128 Mallows, C.L. 1108 Malyshev, V.A. 1208 Manalaslas, Jr.P. 45 see C.C. Manber, R. 223 see V. Mandel, A. 887 1836 1837 1838 1857 1860—1862 see J. Mani, P. 158 166 884 886 887 901 907 908 1459 1857 see R. see H. see M. see D.G. Mani-Levitska, P. 311 Manifold 880 Manin, Y.A. 667 Mann theorem 984 985 Mann's inequality 700 Mann, H.B. 699 700 716 see J. Manoussakis, Y. 68 69 see J. see R. Mansfield, A. 317 Mansour. Y. 1299 see N. Mantel, W 12 1234 Manvel, B. 245 910 see D.A. MAP 1487 1488 Map distance 1994 Map, covering 1454 Maple 1210 Maps of DNA 1993 Marble, G. 245 see D.W. Marcus, M. 755 Margulis graph 1265 Margulis, G.A. 958 1265 1385 1482 1752—1756 Markoff spectrum 934 Markov chains 1558 1740 Markov's inequality 356 1811 Markvorsen, S. 1484 Marriage theorem 185 2041 2052 2185 Marsh III, A.B. 204 1679 see W.H. Martello, S. 1903 see M. Martens, H. 958 Martin, A. 1571 1573 see M. Martin-Loef, A. 168 see D.J. Martingale 373 Martini, H. 831 see E. Maruani, J. 1965 Maruoka, A. 1755 1756 see Sh. Marusie, D. 1468 1473 1474 Masavetas, K.A. 1968 Maschke theorem 630 Maschke, H. 1491 Mason, D.W. 87 see B. Mason, J. 510 Mason, J.H. 832 Matching 181 388 412 500 1044 1316 1690 1973 2051 Matching algorithm 191 1589 Matching covered graph 195 Matching graph, bicritical 1470 Matching graph, matching critical 1470 Matching lattice 210 Matching matroids 500 Matching number 46 384 385 388 395 405 413—416 1295 Matching polyhedron 206 Matching polynomial 1731 1941 1973 1976 Matching polytope 208 412 1651 1665 1679 1692 Matching problem 922 1547 1578 Mathematica 1210 Mathematical induction 2166 Mathieu groups 622 625 716 2183 Mathieu, E. 627 Mathon, R. 704 1514 Mathon, R.A. 753 Matousek, J. 1355 1357 1371 1425 1437 see D. see M. Matrix representation 630 Matrix, circulant 1495 Matrix, negative type 2047 Matrix, tree theorem 1047 Matroid 19 185 390 419 483 529 649 832 1545 1546 1587 1830 1857 2066 2077 2178 Matroid algorithm 556 Matroid direct sum 651 Matroid duality 492 Matroid intersection 558 Matroid intersection algorithm (MIA) 559 Matroid intersection polytope theorem 564 Matroid intersection theorem 503 558 Matroid partition theorem 502 561 Matroid partitioning 561 Matroid theory 496 Matroid, algebraic 486 507 Matroid, algebraic over a field 507 Matroid, base of 484 492 493 502 512 1307 Matroid, binary 506 519 529 530 536 538 548 Matroid, bond 493 Matroid, cocycle 493 494 515 Matroid, cographic 493 494 505 Matroid, connected 491 493 504 584 Matroid, deleting of elements of 494 495 Matroid, dependent set of 483 488 495 Matroid, disconnected 491 Matroid, dual 492—494 Matroid, Fano 488 503 514 Matroid, flat of 484 490 497 Matroid, free 486 494 497 504 Matroid, graphic 491 494 505 516 518 532 547 594 Matroid, induced 500 Matroid, matching 500 Matroid, modular 504 Matroid, non-Fano 507 Matroid, non-Pappus 504 508 Matroid, non-representable 504 Matroid, non-separable 491 Matroid, orientable 1835 Matroid, oriented 517 519 604 887 888 1834 1835 Matroid, parallel elements of 490 498 Matroid, paving 499 Matroid, polygon 486 488 Matroid, rank of 484 490 492 Matroid, regular 505 506 531 536 538 541 543 544 1833 Matroid, representable 486 503 511 529—531 540 Matroid, simple 490 498 830 Matroid, transversal 500 501 506 508 Matroid, underlying 1835 Matroid, uniform 486 489 491 494 497 Matroid, Vamns 659 Matroid, vectorial 486 Matsumoto, M. 1297 see P. Mattel, C. 573 576 577 see EL. Mattheiss, T.H. 881 Matthews, M. 62 66 Matthews, P. 1743 Mattson — Solomon polynomial 787 Mattson, H.F. 2184 see E.F. Mattson, Jr.H.F. 703 776 801 see Jr.E.F. Matula, D. 372 373 375 Matula, D.W. 245 Matzat, B.H. 1498 Maund, T. 638 Maurer'S Homolopy theorem 1832 Maurer, S.B. 1832 Maurras, J.F. 1696 Max-cut problem 218 1555 1557 1568 1571 1573 1584 1592 1696 1892 1950 Max-flow min-cut (MFMC) property 124 402 599 1669 Max-flow min-cut (MFMC) property, theorem 1685 2051 2186 Max-flow problem 1640 1660 Maximal arc 661 Maximal cyclic code 785 Maximal independent set 922 Maximal intersecting family 1314 Maximal non-Hamiltonian graph 1275 Maximal nonbasis of order k 987 Maximal plane 259 Maximal stable set 1641 Maximal stable set coloring 244 Maximal stable set problem 1634 1640 Maximal strong component 16 Maximally non-Hamiltonian 52 54 Maximum cardinality search 117 Maximum distance separable (MDS) 777 Maximum distance separable (MDS) code 667 790 Maximum flow 1660 Maximum flow in a capacitated network 2188 Maximum matching 263 1610 Maximum subgraph density 362 366 Maximum vertex degree 37U Maximum weight stable set 227 Maxwell, J.C. 1921 Mayeda, W. 1921 Mayer, J. 262 316 Mayer. J. 1511 see I. Maynard, R., 1947 see F. see I. Mazo, J.E. 1122 Mazur, B. 890 Mazzocca, F. 663 see P.I. McConnel, R. 1454 McCord, M.C. 1844 1850 McCormick, Jr.W.T. 1878 1879 McCuaig, W 82 83 McDiarmid, C. 957 see W. McDiarmid, C.J.H. 373 1635 see G.R. see R.M. McEliece, R.J. 406 806 see P. McFarland, R.L. 699 730 McFeat, R.G. 930 McGeoch, L.A. 323 1559 1950 see M.L. see D.S. McGuinness theorem 1238 McGuinness, S 1238 McKay, B.D. 62 910 1188 1189 1203 1209 1347 1462 1511 1729 1731 see C.D. see D.A. see R.A. McKay, J. 673 683 701 see C.W. see C.W.H. McKenna, J. 1186 see A. McKenzie, P. 1486 McKenzie, R. 1464 1466 McKinsey, J.C.C. 2189 McLaughlin, J.E. 656 671 see D.O. McMillan's inequality 1029 McMillan, B. 1029 McMullen conditions 895 McMullen's conjecture 898 McMullen, C. 952 McMullen, P. 853 879 882 893 894 897—899 901 948—950 951 1841 see U. McNully, G. 460 see H. MDS see maximum distance separable Mead, D.G. 864 Measurable cardinal 2099 Mechanism 1966 Meet 1843 Meet-contractible 1852 Mehlhorn, K. 2006 Meinardus, O. 1194 Meir, A. 862 1163 see M. Meixner, T. 683 see A. Melchior's inequality 817 824 828 Melchior, E. 816 Mellin transform 1191 1192 Melnikov, L.A. 313 Melnikov, L.S. 249 260 see V.A. Melver, A. 637 Menages problem 2171 Mendelsohn, E. 668 712 713 1498 see L.D. Mendelsohn, N.S. 704 Menger theorem 35 129 145 186 438 591 2186 Menger, K. 35 145 186 533 2186 Mengerian hypergraph 384 395 397 402 404 Mengersen, I. 847 see H. Menon, P.K. 730 Meredith, G.H.J. 89 Merkle, R.C. 2030 Meromorphic 1147 Merrifield, R.E. 1958 Mertens conjecture 955 Mertens theorem 973 Meshalkin, L.D. 1270 Mesner, D.M. 36 158 702 704 712 749 755 see R.C. see E.S. see M.E. Method of moments 366 Method of stationary phase 1173 Metric 2047 Metric cone 2047 2050 Metric scheme 760 Metropolis filter 1558 1559 Metropolis, N. 1558 Metsch, K., see Beutclspacher, A. 713 Meyer, A.R. 1625 Meyer, J.-C. 407 Meyer, J.C. 1314 Meyer, R.R. 1691 Meyniel theorem 32 269 Meyniel, H. 32 269 313 see P. Mezard, M. 1947 MFMC see max-flow min-cut Micali, S. 1511 1515 1630 2011 2033 2034 2035 see M. see O. see S. Micchelli, C.A. 958 see W. Michel, L. 945 958 see D. Middendorf, M. 162 164 Mignotte, M. 1131 see L. Mihailova, K.A. 1519 Miklos, D. 1306 Milchem, J. 77 78 Milgram, A.N. 43 44 263 see T. Miliotis, P. 1696 Miller, E.W. 455 see B. Miller, G. 954 see S. Miller, G.L. 327 1458 1511 1512 1514 see L.S. Miller, W. 1990 Miller, Z. 1475 see A. Million, R.B. 1972 Mills, G. 1355 see P. Mills, W.H. 702 703 714 729 see B. see A. see E.R. Milman, V. 903 2042 2043 see T. Milman, V.D. 926 930 1740 1755 1756 2044 see N. see J. Milne, S.C. 1038 see A.M. Milne-Thomson, L.M. 1131 Milner, EC. 1285 1303 see A.J.W. Milner, P.C. 1966 Milnor, J. 923 926 943 958 1478—1480 1761 1847 1848 2129 Min Aung 62 Min max relations 396 Min max theorem 394 395 403 Min-cost circulations 132 Min-cost path 120 Min-max property 81 Mine's conjecture 1209 Mine, H. 755 2170 see M Minimal basis of order k 987 Minimal Cayley graph 1473 1474 Minimal cyclic code 785 Minimal degree 2053 2054 Minimal face 1655 Minimal forbidden unit-distance graphs 844 Minimal lattice simplex 951
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