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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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Kainen, P.G.      236 237; T.L.
Kaiser, D.      1592
Kajitani, Y.      1921; see Kishi G.
Kakusho, O.      160 2050; K.
Kalai theorem      1274
Kalai, G.      854 894 900 902 903 907909 1274 1320
Kalai, G.A.      1770 1771; N.
Kalai, G.B.      1847; see Bjomer A.
Kalai, G.C.      1719; see Kahn J.
Kalona, G.O.H.      406 714 896 1296 1297 1301 1317 1320 1321
Kalyanasundaram, B.      2007
Kamber, R.      704
Kamps, H.JX.      715
Kan, A.      945 958
Kaneko, A.      75; see Dean N.
Kang, Q.      2183; see Wu L.
Kannan, R.      923 941 952 955957
Kannan, R.A.      1559; see Applegate D.
Kannan, R.B.      957; see Cook W.
Kannan, R.C.      957 1442 1558 1741; M.
Kannan, S.      1518 1519; L.
Kant, G.      472
Kantor, W.      1710
Kantor, W.M.      626 627 638 639 656 666 670 671 682 704 766 796 1453 1468 1485 1507 1510 1516
Kantor, W.M.A.      1484 1485 1511 1520; L.
Kantor, W.M.B.      803 804; R.
Kantor, W.M.C.      628 656 1303; P.J.
Kantor, W.M.D.      625; see Curtis C.W.
Kantor, W.M.E.      628; see Fein B.
Kapoor, A.      397; see Conforti M.
Kapoor, S.      1145
Karchmer, M.      2017
Kariv, O.      193 1589; S.
Karlin, S.      1111
Karmarkar, N.      1574 1663
Karonski, M.      354 366
Karonski, M.A.      368; see Barbour A.D.
Karp, R.M.      15 122 161 220 225 246 252 263 1146 1615 1617 1620 1635 1642 1662 1693 1802 2188
Karp, R.M.A.      1741; see Aleliunas B.
Karp, R.M.B.      1638; see Aleliunas R.
Karp, R.M.C      127 134 1582 1661.; J.
Karp, R.M.D.      1586 1676 1696 1881; M.
Karp, R.M.E.      193; see Hopcroft J.E.
Karp, R.M.G.      1574; see Kamiarkar N.
Karrass, A.      1494 1751; W.
Karteszi, F.      824 840 843
Karzanov, A.V.      128 163 167 2048
Karzanov, A.V.A.      149 150; E.A.
Karzanov, A.V.B.; see Frank, A.      167
Kashiwagi, K.; see Nishizeki, T.      275
Kasimatis, E.A.      864
Kastcleyn, P.W.; see Fortuin, CM.      447 1930 1932
Kasteleyn theorem      223
Kasteleyn, P.W      223 1951
Kaszonyi, L.      1272 1273 1325
Kaszonyi-Tuza theorem      1272
Katchalski, M.      854 862
Katchalski, M.; see Barany, [.      854
Katerinis, R; see Enomoto, H.      52
Katona theorem      1301
Katznelsem, Y.; see Furstenberg, H.      1366 1371 1440
Kauffman, L.H.      2073 2074
Kaugars, A.      153 157; G.
Kaye, R.      640 641
Kayles      2136 2137 2150
Kazhdan, D.      1755 1756
Keating, K.      1473
Keedwcll, A.D.      705; see Denes J.
Keidock, A.M.      796
Kekule structures      1974
Keller, J.B.      1182 1210; C.
Kelly, D.      455 468
Kelly, D.G.      506; see Brylawski T.H.
Kelly, G.      702
Kelly, J.B.      240 255 2049
Kelly, L.M.A.      814 818 828 829 839
Kelly, L.M.B.      815 816; W.E.
Kelly, L.M.C,      829; see Boros E.
Kelly, L.M.D.      813; see Edelslein M.
Kelly, L.M.E.      813; see Herzog F.
Kelly, L.M.F.      240 255; J.B.
Kellys conjecture      829
Kelmans, A.K.      62
Kemighan, B.W.      1555 1880; S.
Kemp, R.      1071 1198 1213
Kempe chain      256 272
Kempe, A.B.      51 237 256 259
Kempf, G.F.      951 958
Kendall, M.G.      2174; see David F.N.
Kennedy, J.W.      308 1958 2178
Kennedy, J.W.A.      1975; see Goidon M.
Kenyon, J.C.      2137
Kenyons Game      2137
Kepler conjecture      936
Kerber, A.      633; see James G.D.
Kerckjarto, B.V.      1459
Kerdock code      796
Kerdock set      796
Kerekjarto, B.      318
Kern, W.      603 605 1835; A.
Kernel      16
Kernighan, B.W.      1894
Kerov, C.V.      1155; see Vershik A.M.
Kesten, H.      1210 1438 1484 1936 1938 1940
Ketonen, J.      1354 1355
Key      2019
Key, J.D.      710; see Assmus Jr.E.F.
Keynes, H.      1438 1439; H.
Khachatnan, L.H.      1012; see Ahlswede R.
Khachiyan, L.      453
Khachiyan, L.G.      957 1661
Khatchartryan, M.A.      421
Kibler, R.E.      699
Kicr, L.B.      19751977
Kierstead theorem      273
Kierstead, H.      441443 455 459 460 462
Kierstead, H.A.      459; see Brightwell C.
Kierstead, H.A.A.      240 273 274 1510
Kierstead, H.A.B.      86; see Fan G.
Kierstead, H.A.C.      438; see Dufius D.
Kierstead, H.B.      458 459;
Kierstead, H.C.      86; see Fan G.
Kiesler, H.J.      2100
Kiivari, P.      834 835 1240
Kilmoyer, R.      761
Kilpatrick, P.A.      93
Kim, C.E.      1584; see Ibarra O.H.
Kim, J.      455; see Kahn J.
Kim, J.H.      1351
Kimberley, M.E.      655
Kimble, R.      468
Kind, B.      2061
Kineses, J.      854
Kineses, J.A.      854; see Barany I.
Kinetic laws      1968
King, R.B.      1958 1960
Kingman, J.F.C.      1937 1998
Kirby, L.      1356
Kirchhoff, G.      1921
Kirckpatrick, S.      1559
Kirkman triple system      710 711
Kirkman, T.P.      56 703 709 2183
Kirkmans schoolgirls problem      2180 2183
Kirkpatrick, D.A.      1285
Kirkpatrick, D.A.A.      212 220; P.
Kirkpatrick, D.G.      81 881
Kirkpatrick, S.      1950
Kirschcnhofer, P.      1191
Kirschenhofer, P.A.      1103 1194; P.:
Kishi, G.      1921
Kislitsyn, S.S.      448
Kissing number problem      938
Klarner, DA.      1104
Klcinschmidt, P.      886
Klcinschmidt, P.D.      2061; see Kind B.
Klee, P.      1379
Klee, V.      223 811 848 851 852 856 882 890 897 901 902 905 906 908 909 1656 1668
Klee, V.A.      883 887 906 1854 1855 1857; G.
Klee, V.B.      841 848; L.
Klee, V.C.      811 848 855 856 859; H.
Klee, V.D.      311; see Mani-Levitska P.
Kleidman, P.B.      622 657
Klein bottle      261 318 1489
Klein quadric      669
Klein, D.J.A.      1958 1975
Klein, D.J.B.      1966; see Ruch E.
Klein, D.J.C.      1977; see Trinajstic N.
Kleinschmidt, P.A.      905; see Bamette D.
Kleinschmidt, P.B.      886; see Bokowski J.
Kleinschmidt, P.C.      879 893; G.
Kleinschmidt, P.E.      908; see Klee V
Kleitman, D,J.C.      446; see Jichang S.
Kleitman, D.      1286
Kleitman, D.A.      908; see Kalai G.
Kleitman, D.J.      168 315 447 1254 1298 1299 1302 1305 1316 1317 1802 2186
Kleitman, D.J.A.      1251 1253 1300; P.
Kleitman, D.J.B.      137 438 439; C.
Kleitman-Lovasz theorem      252
Klemm, M.      716
Klemperer, W.G.      1967
Klin, M.H.      1452 1502
Klincsek, G.      1565; see Chvatal V.
Knapsack problem      1552 1562 1584 1585 1633 1696
Knapsack public key cryptosystems      955
Kneser graph      64 240 764 1825
Kneser hypergraph      424
Kneser theorem      985 986
Kneser, M.      64 240
Knesers conjecture      1825
Knessl, C      1182 1210
Knights tour problem      2176
Kniskal Katona theorem      1296 2187
Kniskals algorithm      1545 1579 2024 2027
Knobloch, E.      2167
Knop, J.V.      1961 1962
Knopfmacher, A.      1153
Knopp, K.      1078
Knot      2041 20732078
Knot polynomial      516
Knudsen, D.      951 958; G.F.
Knuth, D.E.      1071 1134 1198 1199 1213 1464 1517 1888
Knuth, D.E.A.      1140 1141; N.G.
Knuth, D.E.B.      369; see Flajolet P.
Knuth, D.E.C.      1144; see Fredman M.L.
Knuth, D.E.D.      1071 1073 1090 1131 1132 1212; R.L.
Knuth, D.E.E.      1071 1127 1131 1140 1141 1171 1212; D.H.
Knuth, D.E.F.      361; see Janson S.
Ko, C.      764 1296 1298 2187; P.
Koca, J.      1969
Kock, J.      237; see Appel K.
Kodama, Y.      316 321; J.
Koebe, P.      313
Koenig, D.      13 129 184 190 236 263 272 334 1497 2089 2176 2179 2186
Kogan, D.I.      1337; see Glebskii Y.V.
Koh digraph      18
Koh, K.M.      18
Kohara, Y.      1994; see Isono K.
Kohayakawa, Y.      1377; see Brightwell G.R.
Kohler, E.      704 765
Kolaitis, P.G.      1337
Kolaitis, P.H.      1251
Kolchin, Y.F.      361 369 1090 1210 1213
Kolen, A.W.J.      1903 1904
Kolen, A.W.J.A.      399 400; A.J.
Kolesova, G.      674; see Lam C.W.
Kollar, J.      1498; see Fried E.
Komjath, P.      2105 2106; A.
Komlos, J.      71 365 453 861 1350 1418 1438 1578
Komlos, J.A.      408 989 1350 1754; M.
Komlos, J.B.      371; see Ajtai M.
Komlos, J.C.      77 1266 1267; A.
Kompelmacher, V.L.      1473
Konig property      384 394 395 397 401 402
Konig theorem      184 263 272
Konig Egervary graph      219
Konig Egervary theorem      438 1652
Konig Hall marriage lemma      1013
Konigls edge-coloring theorem      1666
Konigsberg bridge problem      2175
Konigsberg bridges      2167
Konigs covering theorem      1668
Konigs lemma      2089 2179
Konigs matching theorem      1666
Konigs minimax theorem      2186
Kool, A.I.M.      1891 1893; J.S.
Kooman, R.J.      1138
Koopmans, Tj.C.      1668
Koornwinder, T.H.      753 1718
Korach, E.      165 220
Kork, B.      1545; see Bachem A.
Korkin Zolotarev reduction      928 953
Korkin, A.      922 927
Kornienko, N.M.      1514; see Zemlyachenko V.M.
Korte, B.      521 522 578 582 583 1546 1547 1830
Korte, B.A.      1831 1833 1850 1857; A.
Korte, B.B.      1678; see Hausmann D.
Kostochka, A.      459; see Brighlwell G.
Kostochka, A.V.A.      333
Kostochka, A.V.B.      249 255; O.V
Kostochka, A.V.C.      1238; see Gyori E.
Kostochka, A.V.D.      459; see Hurlbert G.
Kostoshka, A.V.E.      1320
Kotzig, A.      80 89 90 197 198
Kotzig, A.A.      710; see Bermond J.-C
Kotzigs Nim      2159
Kouider, M.      41 84
Kovacs, L.G.      619
Kovalev, M.M.      879; see Yemelichev VA.M.
Kozen, D.      1519
Kozen, D.C.      1623; see Chandra A.K.
Kramer, E.S.      696 702704 712
Kramer, E.S.A.      704; see Hanani H.
Krasikov, I.      1724; see Godsil. C.D.
Krasikov, L.      1522 1523; C.D.
Krasnoselskii theorem      850
Krasnosselsky, M.A.      850
Kratochvil, J.      313
Kravcuk polynomial      763 1496
Kravtsov, M.K.      879; see Yemclichev VA.M.
Kreher, D.L.      697 702 955
Kreher, D.L.A.      704; see Chee YM.
Krein bounds      675
Krein conditions      753 758
Krein parameters      757
Kronecker product      1464
Kruskal, J.B.      139 305 335 896 1296 1988 2187
Kruskal, J.B.A.      531 1655 1664; A.J.
Kruyswijk, D.      1769 1770; P.
Kubale, M.      236 245
Kubota, T.      958
Kucera, L.      1513
Kucera, L.A.      1513; see Babai L.
Kucera, L.B.      375.; see Matula D.
Kucera, P.      313; see Kratochvil J.
Kuez, I.      462 860 1341 1357 1371
Kuez, I.A.      1351; see Alon N.
Kuipers, L.      1426
Kumar, M.P.      128; see Malhotra V.M.
Kumar, P.V.      797; see Calderbank A.R.
Kumar, P.V.A,      797; see Hammons Jr A.R.
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