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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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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.      672674 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
Laplaces 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 $\mathscr L(M)$      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 929931 933 948 950952
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      518520 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
Lehmans 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
Lenstras 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 20732078
Link alternating      2076 2077
Link constant      1475
Link diagram      20732075 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 Kompelmacher 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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