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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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Gallai — Edmonds structure theorem 202 1471 Gallai — Milgram theorem 44 Gallai — Roy theorem 48 Gallai, T. 26 39 43—45 48 82 167 182 199 240 242 250 254-256 263 269 468 1263 1274 1319 1476; P. 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 1202 1203; P. Gao, Z.-C. 59 1212; E.A. Garcia-Diaz, A. 125; see Phillips D.T. Gardiner, A. 1504 1506 1507 Gardner, M. 275 Gardner, M.L. 392 Gardy, D. 1124 1183 1184 Garey, M.R. 14 246 247 315 326 910 953 956 1511 1551 1552 1601 1632 1634 1998 1999; Jr.E.G. Garsia, A.M. 1038 1107 1856 1858 2059 2060 2061; K. Bjorner A. Gauss, C.F. 2167 2184 Gaussian coefficient 650 1365 Gehrlem, W.G. 448; see Fishburn P.C. Gelatt, C.D. 1559 1950; S. Kirkpatrick S. Geller, D.P. 276; see Chartrand G. Gelling, E.N. 711 Gel’fand, l.M. 1501 Geman, D. 1997; see Geman S. General linear group 655 Generalized arithmetic progression 986 Generalized assignment problem 1578 1579 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 496—498 516 1055 1713 1857 Geometric lattice of flats 830 Geometric realization 1843 Geometric simplicial complex 1843 1859 Geometrical dual 2178 Geometry 2180 Geometry of numbers 921-923 929 956 Geramita, A.V. 730 Gerards, A.M.H. 217 1692 1694; W. Gerards, B. 531 546 Germa, A. 25 710 1263;see D. Bermond J.-C. German, S. 1997 Gerver, J.L. 1006; see Ramsey L.T. Gessel, I.M. 1110 1155 1209 Getu, S. 1184 1211 Gewiriz graph 701 Ghinelli, D. 683; see Del Fra A. Ghouila-Houri, A. 1409 1665 Giancarlo, R. 1990 1991; Z. Giant component 357 Giclen, M. 1966; see Brocas J. Gilbert — Varshamov bound 781 Giles, F.R. 1673 1676 1678 Giles, R. 323 573 574 1672—1674 1676 1678 1694; J. Gill, J. 1621; see Baker T. Gillenson, M.L. 215; see White L.J. Gilmore, P.C. 267 Ginibre, J. 447; see Fortuin C.M. Ginzburg, A. 1769; see Erdoes P. girth 10 842 1264 1503 1752—1754 1757 1810 Glaisher, J.W.L. 2173 Glas, R. 36; see Egawa Y. Gleason, A.M. 671 Glebskii, Y.V. 1337 Glover, F. 566; see Brezovec C. Glover, H.H. 334 342 2178 Gluing lemma 1848 Go 2119 Goddyn, L.A. 92 296; B. Godel, K. 1605 Godsil, C.D. 73 1209 1455 1460 1468 1470 1474 1477 1460 1496 1500 1502 1507 1522 1523 1713 1715—1718 1724 1726 1727 1729 1731 1732; B. Babai L. Goedel's compactness theorem 2092 Goemans, M.X. 1592 Goethals, J.-M. 701 716 717 718 730 750 752 753 767 768 753 802 1507 1715 1716 1718 1734; P.J. see Ph. Golay codes 716 791 794 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 Goldlbach's conjecture 971 982 Goldman, W.M. 943; see Fried D. Goldreich, O. 1486 1511 1515 2007 2028 2032 2035; B. Even S. Goldschmidt, D. 1504; see Delgado A. Goldschmidt, D.M. 1504 Goldstein, L. 1090 1996 1997; R. Goldwasser, S. 1630 2028 2031 2034 Golender, V.E. 1960 Goljan, M. 313; see Kralochvil J. Golumbic, M. 399 Golumbic, M.C. 236 1994 1995 Gomory Hu tree 130 Gomory, R. 130 Gomory, R.E. 207 1672 1691 2188 Gondran, M. 1545 Gonnel, G.H. 1205 1213 2018 Good, I.J. 1107 Goodey, P.R. 910 Goodman, A. 87 1238 1520; L. Erdos P. Goodman, A.J. 1449 1501 1519; L. Goodman, A.W. 1349 Goodman, J.E. 818 830 832 834 857 865 894 1764 1765 Goppa, V.D. 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's algorithm 1075 Gosper's indefinite hypergcometric summation algorithm 1210 Gosper. Jr.R.W. 1075 1210 Gottlieb, D.H. 1710 Gough, A. 1970; see Wang T. Gould, H.W. 1075 Gould, R.J. 28 Goulden, l.P. 1023 1088 1098 1107 1213 GQ 665 see GR 592 see Grabner, P. 1194; see Flajolet P. Gradient method 1660 Gradshteyn, I.S. 1075 Graham — Newman problem 820 Graham — Rothschild theorem 1335 Graham's conjecture 1007 Graham, R.L. 72 139 377 376 409 662 848 860 970 998 999 1004 1006 1013 1071 1073 1090 1131 1132 1206 1212 1333 1338 1341 1344 1346 1349 1351 1359 1361 1364—1366 1368 1369—1371 1372 1373 1381 1383 1389 1393 1464 1546 1551 1633 1759 2093 2185; T.C. Chung F.R.K. Erdoes P. Frankl P. Garcy M.R. Graham. R. 1367 1710 1737 1805; P. Gram matrix 767 Granas, A. 1862; see Dugundji J. Grant, D.D. 1470; see Little C.H.C. Granvtlle, A. 1015; see Alford W.R. Graovac, A. 1973 Graph 5 500 2177 Graph of groups 1495 Graph, 751 Graph, 269 Graph, 263. 264 Graph, 2105 Graph, 48 Graph, 69 Graph, 1-extendable 195 Graph, 2-arc-transitive 1469 Graph, 2-bicritical 218 Graph, 2-conneclcd 117 493 Graph, 2-reguiar 1165 Graph, 3-colorable 246 Graph, 3-connected 151 Graph, 3-connected planar 891 Graph, acyclic 10 Graph, adjacent faces of a planar 55 Graph, adjacent vertices of 5 Graph, algorithms 2187 Graph, antipodal 1505 Graph, arc-transitive 1454 1455 1503—1507 Graph, asymmetric 1461 Graph, automorphism of 64 1363 Graph, balanced 362 Graph, balanced bipartite 6 Graph, basis 1831 Graph, bicritical 198 Graph, bidirected 214 Graph, binomial random 353 Graph, bipartite 6 14 386 397 407 947 Graph, bipartite incidence 421 Graph, bridge 587 Graph, Catlin 256 Graph, Caylce 64 1467 1473 1478 1482—1484 1486 1493 1494 1497 1500 1752—1754 1756 1757 Graph, Chang 768 Graph, chemical 1957 Graph, chordal 117 329 399 Graph, circuit extendable 78 Graph, claw-free 66 183 Graph, Clebsch 701 1454 Graph, closure of 23 1257 Graph, color-critical 236 239 242—244 250 253—256 262 Graph, coloring number of 250 2104 Graph, coloring problem 1892 Graph, comparability 266 443 Graph, complete 5 1268 2176 Graph, complete bipartite 6 Graph, component of 9 Graph, composition of 43 Graph, conference 753 Graph, connected 9 489 Graph, connected labeled 1041 1114 Graph, connectivity 1958 Graph, contraction-critical 257 262 Graph, convex representation of 310 Graph, coprime 1011 1012 Graph, covering 1455 1469 Graph, Coxeter 52 54 64 1452 1472 Graph, critical 156 196 2179 Graph, critically imperfect 268 269 Graph, cube of 53 Graph, cubic 59 1965 Graph, current 325 Graph, d-interval 312 Graph, d-polytopal 879 905 Graph, d-regular 7 Graph, dependency 1798 Graph, diameter of 10 Graph, dimension of 842 Graph, directed 15 Graph, distance-Regular 760 1506 1507 Graph, distance-transitive 629 766 1452 1455 1505 1506 Graph, divisor 1012 Graph, doubly periodic 311 Graph, dual 259 308 Graph, dual polar 768 Graph, edge-critical 272 Graph, edge-weighted 14 Graph, embedding 1970 Graph, embedding of 303 Graph, empty 6 Graph, end of 1480 Graph, Erdoes — Renyi 1242 Graph, Eulerian 65 163 2076 2176 Graph, even 7 9 Graph, evolving 354 Graph, extremal 12 1167 1233 Graph, Factor critical 196 Graph, finite 5 Graph, first-order theory of 364 Graph, forbidden 1233 Graph, generalized line 1714 Graph, genus of 320 Graph, geometric 684 Graph, Gewirtz 701 Graph, Grinberg 57 Graph, Hajos conbiructible 252 Graph, Hamiltonian 20 2176 Graph, Hamming 1463 Graph, Heawood 19 63 64 1452 Graph, hexagonal animal 1973 Graph, Higman — Sims 701 729 Graph, Hoffman — Singleton 752 760 Graph, homogeneous 1507 1508 Graph, homomorphism 276 Graph, hypo-Hamiltonian 54 Graph, hypomatchable 196 Graph, hypotraceable 54 Graph, incidence 18 386 674 Graph, infinite 5 2179 Graph, interaction 1949 Graph, intersection 387 Graph, interval 266 1994 Graph, invariants 1957 1973 Graph, isomorphism 1511 1516 1518 Graph, isomorphism classes of 1060 Graph, isomorphism problem 1619 1631 Graph, isospectral 1456 Graph, j-arc transitive 629 Graph, joined vertices of 5 Graph, k-chromatic 48 Graph, k-colorable 48 246 Graph, k-extendable 195 Graph, Kamsey 384 418 419 1464 Graph, Kneser 64 240 764 1455 1825 Graph, Koenig Egervary 219 Graph, Kuratowski 6 Graph, Levi 64 76 1449 Graph, lexicographic product of 43 Graph, line 65 183 274 387 392 1455 1456 1734 2053 Graph, locally connected 66 Graph, locally finite 1477 Graph, locally planar 262 Graph, LSG 1826 see Graph, Margulis 1265 Graph, matching covered 195 Graph, maximal non-Hamiltonian 1275
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