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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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Kunen, K. 2087 2090 2092 Kung, J.P.S. 509 511 1713 2175 Kung, J.P.S.A. 516; “see Kahn J.” Kunz, E. 2057 Kuratowski graph 6 Kuratowski theorem 56 152 304 Kuratowski, K. 56 304 532 Kuratowski, K.A. 2099; “see Banach S.” Kusuoka, S. 1559; see “Hollcy R.” Kuznetsov, V.E. 888; see “Volodin I. Kvasnicka, V. 1969; see “Pospichal J.” Kwan Mei-Ku (Guan Meigu) 1888 2187 Kwiatkowski, D.J. 1286; see “Kleitman D.” L-algorithm 953 L-system 1306 Labeled trees 2177 Labeling of structures 1970 Labelle, G. 1024 Labelle, J. 80; see “Kotzig A.” Laborde, J.M. 49 Lachlan, A.H. 1381 1507 1508 Lachlan, A.H.A. 626 640 1510; G.L.” Lacunary polynomials 1774 Laczkovich, M. 1442 Ladner, R. 223; see “Klee V.” Lafforgue, T. 1205; see “Flajolet P.” Lagarias, J. 958; see “Hastad J.” Lagarias, J.C 928 941 951 954 956 958 Lageweg, B.J. 1906 1907 Lagrange function 1321 1588 Lagrange inversion formula 1024 1032 1043 2170 Lagrange theorem 615 Lagrange — Biirmann inversion formula 1094 1106 Lagrange — Burmann theorem 1107 Lagrange, J.-L. (de la Grange) 2170 Lagrangian relaxation 1586 1588 Laguerre plane 661 Lakshmibai, V. 2059; see de “Concini C.” Lalonde, F. 1518 Lam, C.W. 672—674 683 Lam, C.W.H. 701 2183 Lam, C.W.H.A. 788; see “Blokhuis A.” Laman, G. 1920 1921 Lambek, J. 1461 1499; Z.” Lamberty, H. 711; see “Beutetspacher A.” Laminar collection 1674 Lamken, E.R. 714 Landau, S. 954 Lander, E. 1994 Lander, E.S. 674 698 699 716 726 Lane, R. 731; see “Hall Jr. Lang, R. 61 66 Lang, S. 958 Langford, C.D. 710 Language 1602 Laplace integrals 1094 Laplace’s method 1081 1094 1173 Laquer, H.T. 1988 1989 Large angles 846 Large deviations 1792 1811 Large set 1359 Large sieve 981 Large singularities 1148 1172 Large-deviation bound 1809 Largest first ordering 245 Larman, D.G. 158 166 839 842 855 908 1310 1656 Larmann, D. 1357 Las Vegas algorithm 1613 Las Vergnas, M. 390 518 520 1258 1834 1838 1839 Las Vergnas, M.A. 389 390; B.D.” Las Vergnas, M.B. 397; see “Berge C.” Las Vergnas, M.C. 520 603 1835 1837 1861 2066; A.” Las Vergnas, M.D. 518 520; R.” Las Vergnas, M.E. 888; see “Bland R.G.” Las Vergnas, M.F. 313; see “Duchet P.” Las Vergnas, M.G. 419; see “Fournier J.-C.” Las Vergnas, M.H. 563; see “Hamidoune Y.O.” Laskar, R 685 Laskar, R. 685; see “Dunbar J.” Latin rectangle 712 1209 Latin square 272 426 705 2168 Latin square graph (LSO) 1457 Lattice 296 497 498 921 923 1054 1501 1843 2011 Lattice 497 Lattice constant 931 933 936 Lattice covering 921 939 Lattice covering constant 939 Lattice direction 944 Lattice internal angle function 946 Lattice of flats 2066 Lattice packing 921 934 937 Lattice packing constant 935 Lattice point 921 929—931 933 948 950—952 Lattice point counting functions 947 Lattice point enumerator 945 Lattice polyhedra 958 Lattice polytope 921 944 945 948 949 951 957 Lattice simplex 951 Lattice subspace 928 Laurent, M. 1568 2048 2049; M.” Laver, R. 2093; see “Foreman M.D.” Law of rational indices 943 Lawler, EX. 20 120 125 183 206 214 564 573 576 577 1545 1882 1888 1906 1907 2188 Lawrence, J. 249 887 888 1837 Lawrence, J.A 518—520 888 1834 1836 1837; J.” Lcsniak, L. 75; see “Dean N.” Le Verrier-Faddeev-Frame method 1973 Lea, W. 2184 Leader, I. 1369; see “Deuber W.” Leaves 7 11 Leavilt, D.W.A. 703; see “Kramer E.S.” Leavin, D.W. 2184; see “Magliveras S.S.” Leavitt, D.W. 702 703 Lederberg, J. 1969; see “Lindsay R.K.” Lee, C.W. 905 909 Lee, C.W.A. 905; see “Bamette D.” Lee, C.W.B. 879 1822; M.M.” Lee, C.W.C. 895 898 899 902; L.J.” Lee, D.T. 1903; see “Gupta U.I.” Lee, M.-Y. 1090 Leeb, K. 1334 1356 1359 1361 1370 1374 Leeb, K.A. 662 1366; R.L.” Leech, J. 729 838 Leedham-Green, C.R. 1484; see “Celler F.” Lefevre, C. 665; see “Buekenhout F.” Lefmann, H.B. 1360; see “Bergelson V.” Lefmann, H.C. 1369; see “Deuber W.” Lefmann, H.D. 1346; see “Duffus D.” Lefschetz fixed-point theorem 1863 Lefschetz number 1863 Left-right maxima 1045 Left-right minima 1025 1027 Leftist trees 1197 Legendre symbol 2031 Legendre, A.M. 2177 Lehel, J. 398 407 414 421 Lehel, J.A. 415 417 1280; A.” Lehman, A. 402 563 1672 1684 1687 Lehman’s length-width inequality 1684 Lehmer, E. 730 Lehner, J. 1164; “see Erdos P.” Lehrer, G.L. 1864; see “Curtis C.W.” Leibman, A. 1369; see “Bergelson V.” Leibniz, G.W. 2167 Leighton, F.T. 1484 Leiserson, C.E. 1550; see “Cormen T.H.” Lekkerkerker, C.G. 923 930 933 934; P.M.” Length of a chain 1843 Length of a covering 84 Length of a walk 9 114 Length-width inequality 401 1684 Lenstra Jr, H.W. 956 Lenstra Jr, H.W.A. 928 941; J.C.” Lenstra Jr, H.W.B 953 954 1612 1663; A.K. Lenstra, A.K. 953 954 1612 1663 Lenstra, H.W. 2144 Lenstra, H.W.A. 1284 1285; M.R.” Lenstra, J.K. 1578 1878 1879 1882 1888 Lenstra, J.K.A. 1883 1901; J.M.” Lenstra, J.K.B. 1891 1893; J.S.” Lenstra, J.K.C. 1885; see “Desrochers M.” Lenstra, J.K.D. 1635; see “Karp R.M.” Lenstra, J.K.E. 1903 1904; A.W.J.” Lenstra, J.K.F. 1906; see van “Laarhoven P.J.M.” Lenstra, J.K.G. 1906 1907; B.J.” Lenstra, J.K.H. 20 1545 1882 1906 1907 2188; E.L.” Lenstra-Lenstra-Lovasz (L3) lattice reduction 703 Lenstra’s integer programming algorithm 2030 Lenz, H. 655 Lenz, H.A. 699; see “Beth Th.” Lenz-Barlotti classification 668 Leon, I.S. 1516 Leonardo of Pisa [= Fibonacci] 2169 Leray, J. 1186 1850 Lesniak-Fosler, L. 28 Lesniak-Foster, L.A. 322; see “Behzad M.” Letmann, H. 1346 1367 Letmann, H.A. 1351 1357 1557; N.” Leuker, G.S. 1995; see “Booth K.S.” Leung, J.Y.-T. 1903; see “Gupta U.I.” Levenshtein, V.I. 937; see “Kabatyanskii G.A.” Levi graph 64 76 1449 Levi, F. 811 818 821 Levin, L.A. 1615 1635 1636 2030 2188 Levin, L.A.A. 2032; see “Goldreich O.” Levinger, B. 1454; see “Bruen A.” Lewin, L. 1171 Lewis II, P.M. 1549; see “Rosenkrantz D.J.” Lewis, H.R. 1337 Lexicodes 788 2144 Lexicographic product 1464 1466 1469 Lexicographic product of a graph 43 Lexicographic shellability 1854 2061 Lexicographic sum 437 Lexicographically least binary code 788 Lexicographically minimal code 718 LHASA 1969 Li Yan 2166 Li, H. 83 93 Li, H.A.; 61 62 B.” Li, Hao 1259 1261 Li, M.C. 67 Li, R. 42; see “Bauer D.” Li, S.-Y.R. 252 263 1772 1773 Li, S.Y. 1710; see “Graham R.” Li, W.-C. 1710; see “Graham R.” Li, W.-C.W. 252 263 1772 1773; S.-Y.R.” Lichtin, B. 1186 Lick, D.R. 251 276 Lick, D.R.A 153 157.; G.” Lickerish, W.B.R. 1857 2073 Lie geometries 1510 Lie groups 922 1479 Lieb, E.H. 1940 Lieb, E.H.A. 1941; see “Heilmann C.J.” Lieb, E.H.B. 1731 1976; O.J.” Liebeck, M.W.A. 619 626 657 766 1501 1502 1505 2056 Liebeck, M.W.B. 627 1507 1510; W.M.” Liebeck, M.W.C. 622 657; P.B.” Liebler, R.A. 1506 Liebler, R.A.A. 656; see “Cameron P.J.” Liebler, R.A.B. 626 682 766; W.M.” Lifflewood, J.E. 2187 Lift of a matroid 509 Limit cardinal 2112 Limit distributions 365 Lin, S. 806 1555 1880 Lin, S.A. 1894; see “Kernighan B.W.” Lin, X.-S 2073.; see “Birman J Lindenstrauss, J. 903 2042; T.” Lindner, C.C. 703; see “Mullin R.C.” Lindner, C.C.A. 703 709 713 Lindsay, R.K. 1969 Lindstrom, B. 507 508 890 1712 1863 2011 Line graph 65 183 274 387 392 1455 1456 1734 2053 Linear code 776 Linear degree 387 407 Linear Diophantine equation 952 Linear extension 436 Linear hypergraph 387 416 422 425 427 Linear m-ports 1913 Linear notation for tree structures 1970 Linear ordering 1696 Linear ordering problem 1573 1889 Linear program 1587 Linear programming 396 877 908 1567 1574 1635 1656 2188 Linear programming bound 759 763 783 Linear recurrences 1131 Linear recurrences in several variables 1139 Linear recurrences with varying coefficients 1135 Linear relaxation 1574 1578 Linear representability 503 Linear space 651 668 696 Linear transportation problem 1887 Linearity of expectation 1790 Linearization 1141 Linearly independent set 483 Linearly ordered set 435 Linial, K. 453; see “Kahn J.” Linial, N. 38 49 50 418 448 1299 1464 1557 1590 Linial, N.A. 412 414 421; R.” Linial, N.B. 76; see “Alon N.” Linial, N.C. 1744; see “Kahn J.D.” Link 5 500 881 1295 1475 1845 2067 2073—2078 Link alternating 2076 2077 Link constant 1475 Link diagram 2073—2075 2077 2078 Link diagram alternating 2077 Link dual 1477 Link invariant 2075 Link, C-H.C. 199 223 1470 Linkage analysis 1993 Liogonkii, M.I. 1337; see “Glebskil Y.V.” Liplon, R.J. 1285 2008 Lipman, D. 1990; see “Carrillo H.” Lipshitz, L. 1109 1110 Lipshitz, L.A. 1110; see “Denef J.” Lipton, R.J.A. 1741; see “Aleliunas B.” Lipton, R.J.B. 1638; see “Aleliunas. R.” Liskovets. VA. 1473; see Kompel’macher V.L. List chromatic number 277 List edge chromatic number 277 listing 13 10 2178 Little, C.H.C. 62; see “Ellingham M.N.” Liu, A. 854; see “Katchalski M.” Liu, G. 712; see “Alspach B.” Liu, T.-H. 142; see “Chu Y.-J.” Livingstone, D. 632 1468 Lloyd theorem 760 Lloyd, E.K. 893 1960 1962 2172 Lloyd, E.K.A. 247 259; N.” Lloyd, E.K.B. 56 189 2175; N.L.” Lloyd, S.P. 760 Lloyd, S.P.A. 1167; see “Shepp L.A.” Local improvement techniques 1554 Local limit theorem 1190 Local optima 1555 1556 Local search algorithm 1554 Locally connected graph 66 Locally finite graph 1477
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