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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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Framework      1914
Francis, R.L.      1898; see Mirchandani P.B.
Frank, A.      49 120 138 150 154 160 163 164 167 170 218 564 570 572 574 576 577 581 955 1583 1663 1682
Frank, A.A.      578; see Cunningham W.H.
Frank, A.B.      91; see Fleischner H.
Frankl theorem      1274
Frankl, P.      376 410412 418 842 860 1236 1248 1274 1275 1296 1297 1299 13031305 13071313 13161318 1321 1322 1324 1341 1351 1371 1372 1381 1383 1393 1522 1719 1721 1722 1725 1761 1796
Frankl, P.A.      423 1765 1766 1827; N.
Frankl, P.B.      1522 2007 2010; L.
Frankl, P.C.      628 631 635 1303; P.J.
Frankl, P.D.      1325; see Chung F.R.K.
Frankl, P.E.      13061308; see Deza M.
Frankl, P.F.      1252 1323 1345; P.
Franklin, F.      2173
Franklin, P.      261 2179
Fredman, M.      448
Fredman, M.L.      1144 2020
Free arrangement      2071 2073
Free group      1479
Free matroid      486 494 497 504
Free monoid      1027 1029
Free product      1467 1481
Free subgroup      1753
Freiman, G.A.      986
Freimans (doubling) theorem      986
Freivalds, R.      2007
Freud, R.      1013; see Erdos P.
Freudenthal, H.      1480
Freund, R.M.      1864
Fried, D.      943
Fried, E.      1498
Friedland, S.      17 1209
Friedland, S.A.      1770 1771; N.
Friedman, J.      453
Frieze patterns      2140
Frieze, A.      371 372 1155
Frieze, A.A.      957 1442 1558 1741; M.
Frieze, A.B.      371; see Fenner T.I.
Frieze, A.M.      72
Frieze, A.M.A.      371; see Bollobas B.
Fristedt, B.      1123
Frobenius, G.      185 2174 2186
Frucht, R.      1469 1497
Frumkin, M.A.      952
Ftirstenberg, H.      1110 1340 1366 1369 1371 14381440
Fuchs. L.      1775
Fueredi, Z.      76 383 387 404 408 409 411 412 416 427 456 457 459 465 818 821 823 1242 1275 1297 1300 1308 1314 1315 1324
Fueredi, Z.A.      862 865 957 1442; I.
Fueredi, Z.B.      829 1314; E.
Fueredi, Z.C.      409; see Chung F.R.K.
Fueredi, Z.D.      862 1323; P.
Fueredi, Z.E.      1456; see Erdos Peter
Fueredi, Z.G.      412 1297 1309 1310 1321 1322 1324; P.
Fuerer, M.      1513; see Cai J.
Fuji-Hara, R.      712
Fujishige, S.      572 575 576 578
Fujishige, S.A.      1913; see Iri M.
Fuju, Y.      763; see Yamamoto S.
Fulkerson, D.R.      94 141 267 397 401403 1672 1674 1682 1686 1687 1695 1696
Fulkerson, D.R.A.      1659 1696 1902 2188; G.B.
Fulkerson, D.R.B.      406; see Edmonds J.
Fulkerson, D.R.C.      185 500 561 1897 2178; J.R.
Fulkerson, D.R.D.      114 125127 129 133 136 2186 2188; L.R.
Fulkerson, D.R.E.      1545 1661 1903; Jr.
Fulkersonian hypergraph      395 402
Fulkersons optimum arborescence theorem      1674
Full Ramsey-type theorems      1357
Full time-constructibility      1628
Fully polynomial approximation scheme      1584 1633
Fully space-constructible      1611
Fully submodular function      572
Fully time-constructible function      1609
Fulton, W.      958 1841
Functional digraph      1024
Functional equations      929 1195 1206
Functional gate      2012
Fundamental circuit      554
Fundamental group      1495 1846 2069
Fundamental parallelepiped      923
Fundamental parameters      799
Fundamental theorem of extremal graph theory      1243
Fundamental theorem of projective geometry      655
Furedi theorem      1242 1275
Furrer, F.J.      806
Furst, M.      1625 2013
Furst, M.L.      1486; see Driscoll J.R.
Furst, M.L.A.      323 1517
Fusion principle      2138
G-set      614
G-space      614
GAB      681; see Tits geometry
Gabber, O.      1754 1755
Gabow, H.      560 561 566 579
Galambos, J.      1090
Gale diagram      882 893 894
Gale transform      882
Gale, D.      391 894 901 1825 1836
Galil, Z.A.      128 193 1990 1991
Galil, Z.B.      1756; see Alon N.
Galil, Z.C.      1754 1755; O.
Galiulin, R.V.      923; see Delone B.N.
Gallai hyperplane      814
Gallai identities      182
Gallai line      812 814 818
Gallai plane      814 815
Gallai theorem      250 254 255 1799
Gallai Aschbacher decomposition      1476
Gallai Edmonds structure theorem      202 1471
Gallai Milgram theorem      44
Gallai Roy theorem      48
Gallai, T.      4345 48 82 167 182 199 240 242 250 254256 263 269 468 1319 1476
Gallai, T.A.      26 39 1263 1274; P.
Gallian, J.A.      65 1473; D.
Galois fields      2181
Galois geometry      657
Galois group      954
Galois theorem      649
Galvin, F.      2113
Gamble, A.B.      215
Game      419
Game theory      628
Gamma function      925 1068 1076
Gammoid      500
Ganelius, T.H.      1125 1126
Gangolli, A.      2136 2158
Gao, Z.      1191
Gao, Z.-C.      1212; see Bender E.A.
Gao, Z.A.      1202 1203; P.
Gao, Z.C.      59
Garcia-Diaz, A.      125; see Phillips D.T.
Garcy, M.R.      14 246 247 315 326 910 953 956 1511 1551 1601 1632 1634 1998 1999
Gardiner, A.      1504 1506 1507
Gardner, M.      275
Gardner, M.L.      392
Gardy, D.      1124 1183 1184
Garey, M.R.      1552; see Cofftnan Jr.
Garsia, A.-M.      1856 1858 2059 2060; K.
Garsia, A.M.      1038 1107 2061
Garsia, A.M.A.      1856 2060; A.
Gauss, C.F.      2167 2184
Gaussian coefficient      650 1365
Gehrlein, W.G.      448; see Fishburn P.C.
Gelatl, C.D.      1559; see Kirckpatrick S.
Gelatt, C.-D.      1950; see Kirkpatrick S.
Geller, D.P.      276; see Chartrand G.
Gelling, E.N.      711
Gelfand, I.M.      1501
Geman, D.      1997; see Geman S.
Geman, S.      1997
General linear group      655
Generalized arithmetic progression      986
Generalized assignment problem      1578 1579 1884
Generalized ball      1297
Generalized coloring problem      1624 1625
Generalized Kempe chain      256
Generalized line graph      1734
Generalized m-gon      761
Generalized polygon      674
Generalized polymatroid      581
Generalized quadrangle (GQ)      665 684
Generalized Ramsey number      1347
Generating functions      900 1025 1027 1095 1962
Generator matrix      777
Generator polynomial      784
Generic arrangement      2067
Genericity assumption      1919
Generously transitive      766
Genetics      1985
Genome      1985
Genus of a graph      320
Genus of a group      1493
Genus of a surface      1487
Geometric graph      684
Geometric lattice      496498 516 1055 1713 1857
Geometric lattice of flats      830
Geometric realization      1843
Geometric simplicial complex      1843 1859
Geometrical dual      2178
Geometry      2180
Geometry of numbers      921923 929 956
Geramita, A.V.      730
Gerards, A.M.H.      217 1694
Gerards, A.M.H.A.      1692; see Cook W.
Gerards, B.      531 546
Germa, A.      25 1263; D.
Germa, A.A.      710; see Bermond J.-C.
Gerver, J.L.; see Ramsey, L.T.      1006
Gessel, I.M.      1110 1155 1209
Getu, S.      1184 1211
Gewirtz graph      701
Ghinelli, D.. see Del Fra, A.      683
Ghouila-Houri, A.      1409 1665
Giancarlo, R.      1990 1991; Z.
Giant component      357
Gielen, M.      1966; see Brocas J.
Gilbert Varshamov bound      781
Giles, F.R.      1673 1676 1678
Giles, R.      323 1676 1694
Giles, R.A.      573 574 16721674 1678; J.
Gill, J.      1621; see Baker T.
Gillenson, M.L.      215; see White L.J.
Gilmore, P.C.      267
Ginibre, J.      447; see Fortum C.M.
Ginzburg, A.      1769; see Erdos P.
girth      10 842 1264 1503 17521754 1757 1810
Glaisher, J.W.L.      2173
Glas, R.      36; see Egawa Y.
Glcbskii, YV.      1337
Gleason, A.M.      671
Glover, F.      566; see Brezovec C.
Glover, H.H.      334 342 2178
Gluing lemma      1848
Go      2119 2129
Goddyn, L.A.      92 296; B.
Goddyn, LA.      92
Godel, K.      1605
Godels compactness theorem      2092
Godsil, C.D.A.      1209 1455 1460 1468 1470 1474 1477 1496 1500 1502 1507 1522 1523 1713 17151718 1724 1726 1727 1729 1731 1732
Godsil, C.D.B.      73; see Alspach B.
Godsil, C.D.C.      1460 1500; L.
Goemans, M.X.      1592
Goethals, J.-M.      701 767 768 1507 1734; R.J.
Goethals, J.-M.A.      717 718 752 753 1715 1716 1718; Ph.
Goethals, J.M.      701 716 730 750 753 802
Goidschmidt, D.      1504; see Delgado A.
Golay codes      716 791 794
Goldbachs conjecture      971 982
Goldberg conjecture      275
Goldberg, A.V.      114 125 128 135
Goldberg, M.K.      275
Goldberg, M.V.      1582
Golden identity      248
Golden ratio      248
Golden, B.      1885; see Bodin L.
Goldfarb, D.      1667
Goldman, W.M.      943; see Fried D.
Goldreich, O.      1511 1515 2028 2032 2035
Goldreich, O.A.      2007; see Chor B.
Goldreich, O.B.      1486; see Even S.
Goldschmidt, D.M.      1504
Goldstein, L.      1996 1997
Goldstein, L.A.      1090; see Arratia R.
Goldwasser, S.      1630 2028 2031 2034
Golender, V.E.      1960
Goljan, M.      313; see Kratochvil J.
Golumbic, M.      399
Golumbic, M.C.      236 1994 1995
Gomory, R.      130
Gomory, R.E.      207 1672 1691 2188
Gomory-Hu tree      130
Gondran, M.      1545
Gonnet, G.H.      1205 1213 2018
Good, I.J.      1107
Goodey, P.R.      910
Goodman, A.      1520; see Babai L.
Goodman, A.A.      87 1238; P.
Goodman, A.J.      1501
Goodman, A.J.A.      1449 1501 1519; L.
Goodman, A.W.      1349
Goodman, J.E.      818 830 832 834 857 865 894 1764 1765
Goppa, YD.      667
Gordon, B.      729 1123
Gordon, C.McA.      304; see Conway J.H.
Gordon, L.      1090 1103 1134; R.
Gordon, M.      1975
Gorenstein complex      1856
Gorenstein, D.      619 1504
Gosper, Jr. R.W.      1075 1210
Gospers algorithm      1075
Gospers indefinite hypergeometric summation algorithm      1210
Gottlieb, D.H.      1710
Gough, A.      1970; see Wang T.
Gould, H.W.      1075
Gould, R.J.      28
Goulden, IP.      1023 1088 1098 1107 1213
GQ      665; see Generalized quadrangle
GR      592; see Graph realization
Grabner, P.      1194; see Flajolct P.
Gradient method      1660
Gradshtcyn, I.S.      1075
Graham, R.      1710 1737 1805
Graham, R.A.      1367; see Erdos P.
Graham, R.L.      72 139 377 662 848 860 999 1004 1006 1071 1073 1090 1131 1132 1212 1333 1338 1344 1346 1349 1359 1361 13641366 13691371 1373 1389 1464 1546 1633 1759 2093 2185
Graham, R.L., see Brown, T.C.      1368
Graham, R.L.A.      376 377 409 1206 1351; F.R.K.
Graham, R.L.B.      970 998 999 1006 1013 1371; P.
Graham, R.L.C.      1341 1372 1381 1383 1393; P.
Graham, R.L.D.      1551; see Garey M.R.
Graham-Newman problem      820
Graham-Rothschild theorem      1335
Grahams conjecture      1007
Gram matrix      767
Granas, A.      1862; see Dugundji J.
Grant, D.D.      1470; see Little C.H.C.
Granville, A.      1015; see Alford W.R.
Graovac, A.      1973
Graph      5 500 2177
Graph $(\nu,k,\lambda)$      751
Graph $P_4$ isomorphic      269
Graph $\alpha$-critical      263 264
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