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Graham R.L., Grotschel M., Lovasz L. — Handbook of combinatorics (vol. 1)

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Название: Handbook of combinatorics (vol. 1)

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 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.

Язык:

Рубрика: Математика/Алгебра/Комбинаторика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1995

Количество страниц: 1120

Добавлена в каталог: 10.03.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Heilmann, O.J.      1731 1976
Heinrich, K.      712; see “Alspach B.”
Heise, W.      805
Held, M.      1586 1676 1696 1881
Hell, P.A.      212 220 276 1475
Hell, P.B.      276; see “Bang-Jensen J.”
Hell, P.C.      139 1546; R.L.”
Hell, P.D.      81; see “Kirkpatrick D.G.”
Hellgren, T.B.      91
Hellgren, T.B.A.      426; see “Hiiggkvist R.”
Hellman, M.      2030; see “Merkle R.C.”
Hellman, M.E.      2028; see “Difne W.”
Helly (homothetic) dimension      853
Helly (translate) dimension      853
Helly dimension      853
Helly fractional      854
Helly multiplied      852
Helly number      522
Helly property      387 393—395 407
Helly theorem      834 848—852 856
Helly, E.      848
Helly-type theorems      848
Helzel, D.      1500
Hemmeter, J.      1506
Hemminger, R.L.      1449 1722; J.A.”
Hendry, CRT.      70 78
Henrici, P.      1131 1132 1137 1147 1158
Hensley, D.      951
Henson, C.W.      1508
Hereditary class      516 517
Hereditary closure; see dn      581
Hereditary family      1295 1546 1547
Hereditary hypergraph      388 394 427
Hereditary property      1253
Hering, C.      623 624 656 670 1499
Herman, M.R.      1438
Hermite normal form      924 952
Hermite’s constant      936
Hermitian unital      662
Herndon, W.C.      1977
Herschel, J.F.W.      2173
Hertz, A.      236; see “de Werra D.”
Herzog, F.      813
Herzog, F.A.      813; see “Edelstein M.”
Herzog, M.      423
Hetyei, G.      1484—1486; see “Babai L.”
Heuristic      1543
Heuristic 2-OPT      1553 1555
Heuristic Christofides      1550
Heuristic construction      1553
Heuristic dual      1543 1550 1560 1586
Heuristic exchange      1553 1555—1557
Heuristic FIRST-FIT      1551 1575
Heuristic FIRST-FIT DECREASING      1551
Heuristic greedy      1546 1547
Heuristic Lin-Kernighan      1555
Heuristic NEAREST INSERTION      1549 1550
Heuristic NEAREST NEIGHBOR      1549
Heuristic NEXT-FIT      1551
Heuristic on-line      1552
Heuristic r-OPT      1554—1556
Heuristic random node      1577
Heuristic separation      1570
HEX game      1863
Hexadecimal games      2158
Hexagon      935 939
Hexagonal animal      1961
Hexagonal animal graph      1973
Heydemann, M.C.      46
Heydemann, M.C.A.      392; see “Bermond J.-C.”
Hickerson, D.      836; see “Erdos P.”
Hidden network      595
Hierholzer, C      65
High vertex      255
Higher surfaces      260 261
Higman, D.G.      630 671 675 749 754 761
Higman, G.      334 640 729 731
Higman, G.A.      675 761; W.”
Higman-Sims graph      701 729
Hilbert basis      1673
Hilbert function      896 898 902 2058 2065
Hilbert series      2058
Hilbert, D.      650 941 1368
Hilbert’s basis theorem      1776
Hilbig, F.      61
Hildebrand, A.      1145; see “Erdos P.”
Hill, D.      1997; see “Daniels D.”
Hill, R.      661 667 806
Hill, T.P.      1865
Hille, E.      1137
Hilton, A.J.W.      88 272 1297 1303
Hilton, A.J.W.A.      272 713; L.D.”
Hilton, A.J.W.B.      427; see “Berge C.”
Hilton, H.      827 923
Hindenburg, C.F.      2168
Hindman, N.      427 1340 1369
Hindman, N.A.      1341 1360 1369; V.”
Hindman, N.B.      1369; see “Deuber W.”
Hiraguchi, T.      455 456
Hironaka decomposition      2058 2065
Hirsch conjecture      908 909 1656 1668—1670
Hirschfeld, I.W.P.      1308; see “Deza M.”
Hirschfeld, J.W.P.      657 662 665
Hirzebruch inequality      828
Hirzebruch, F.      828
Hitchcock, F.L.      1668 2189
Hitchcock-Koopmans transportation problem      1668
Hitting time      355
Hlawka, E.      932
HNN-extention      1481
Ho, A.      1696; see “Balas E.”
Hoang, C.T.      269
Hoare, M.H.      1754; see “Biggs N.L.”
Hobart, S.A.      685
Hobbs, A.M.      1280
Hochster, M.      1856 2061
Hocking, J.G.      1751
Hocquengheim, A.      789
Hodge, W.V.D.      889
Hofbauer, J.J.      1107
Hoffman, A.      125 1409
Hoffman, A.J.      51 146 253 399 400 531 685 702 752 1655 1664 1671 1672 1729 1735
Hoffman, A.J.A.      50; see “Aharoni R.”
Hoffman, A.J.B.      397; see “Fulkerson D.R.”
Hoffman, A.J.C.      267; see “Gilmore P.C.”
Hoffman, D.G.      703; see “Muffin R.C.”
Hoffman-Singleton graph      752 760
Hoffman. K.L.      1573
Hofri, M.      1071 1213
Hoist, L.      1090 1210; A.D.”
Holland, O.      206 1571 1573 1881; M.”
Holley, R.      1559
Holonomic      1110
Holt, D.F.      1452
Holton, D.A.      37 62 910
Holton, D.A.A.      62; see “Ellingham M.N.”
Holton, D.A.B.      1470; see “Little C.H.C.”
Holyer, I.      274
Homogeneous      2054 2055
Homogeneous configuration      754 766
Homogeneous difference equations with constant coefficients      2169
Homogeneous for f in the color $\alpha$       2093
Homogeneous set      1334
Homologous series      1959 1961 1962
Homology      668 1846
Homology group      1846
Homomorphism      1451
Homothetic      951
Homotopy      1846
Homotopy Cohen-Macaulay      1855

Homotopy complementation theorem      1852
Homotopy equivalent      1846
Homotopy group      1846
Homotopy invariant      1846
Homotopy theorem      1821 1848
Homotopy type      1846 2069
Honeycomb      945
Hong, G.      1997; see “Daniels D.”
Hong, S.      1696; see “Padberg M.W.”
Hong, Y.      717 804
Honne, B.A.      1969; see “Pierce T.H.”
Hook formula      1155
Hook lengths      1058
Hopcroft, J.      1629
Hopcroft, J.A.      68 168 169; S.”
Hopcroft, J.B.      1517; see “Furst M.L.”
Hopcroft, J.E.      193 307 327 883 1458 1511 1601
Hopcroft, J.E.A.      14 1604 2018; A.Y.”
Hopf trace formula      1863
Hopf, H.      1480
Hopf, H.A.      836; see Pannwitz E.
Hopping lemma      72
Horak, P.      54
Horn, A.      852 853
Horton, J.D.      862 1336
Hosoya index      1975
Hosoya, H.      1975
Hot game      2128
Houten, L.      1123; see “Gordon B.”
Howell, J.A.      1992
Howlett, R.B.      625
Hrushovski, E.A.      1510; see “Cherlin G.”
Hrushovskl, E.      640 1474
HS-admissible      1180 1181
HSggkvist theorem      1259—1261
Hsu, W.-L.      1896
Hu, T.C.      166
Hu, T.C.A.      130; see “Gomory R.”
Hu, T.C.B.      207 2188; R.E.”
Hua, L.K.      958
Huang, H.-C.      268; see “Bland R.G.”
Huang, H.C.      1685
Hubaut, X.      703 754
Hubaut, X.A.      683; see “Buekenhout F.”
Huck, A.      35 165
Huckel matrix      1972
Hudson, J.F.P      1859 1860
Hughes, B.      2166
Hughes, D.      1710 1729
Hughes, D.R.      669 673 683 697 698 702
Hughes, D.R.A.      683; see “Cameron R.J.”
Hughes, D.R.B.      685; see “Hobart S.A.”
Huneke, I.P.      334 342 2178; H.H.”
Huneke, J.P.      327; see “Fiedler J.R.”
Huneke, P.      334; see “Archdeacon D.”
Hung, M.S.      1667
Hung, S.H.Y.      704; see “Mendelsohn N.S.”
Hungarian forest      193
Hungarian method      190
Huppert, B.      623 624 656 1453 1454
Hurkens, C.A.J.      704 1566 1667
Hurlbert, G.      459
Hurwitz, A.      1489 1491
Husemoller, D.      926 958; J.”
Hutchinson, J.P.      262
Hutchinson, J.P.A.      262; see “Albertson M.O.”
Hydrocarbon      1960
Hyperbolic geometry      1751 1777 1778
Hyperbolic plane      1487 1488 1494
Hyperbolic quadric      665
Hyperedge      18
Hypergraph      18 241 381 385 846 1456
Hypergraph 2-colorable      246
Hypergraph acyclic      390
Hypergraph arboreal      384 395 398
Hypergraph balanced      384 390 394 395 397
Hypergraph bicolorable      397 421 422
Hypergraph color-critical      241—243
Hypergraph complete      388 426
Hypergraph connected      387
Hypergraph corankof      387
Hypergraph cover of      1547
Hypergraph cycle of      387
Hypergraph degree in      387
Hypergraph discrepancy of      1408 1414
Hypergraph dual      386 391—393 397 405
Hypergraph edge coloring of      385
Hypergraph factor      418
Hypergraph factorization of      385
Hypergraph Fano      18 63
Hypergraph Fulkersonian      395 402
Hypergraph hereditary      388 394 427
Hypergraph induced      386
Hypergraph intersecting      387 391 394 411 412 425
Hypergraph interval      395 398 400
Hypergraph isomorphic      386
Hypergraph k-chromatic      417
Hypergraph k-colorable      246 415 417 422
Hypergraph Kneser      424
Hypergraph linear      387 416 422 425 427
Hypergraph Mengerian      384 395 397 402 404
Hypergraph minor      390
Hypergraph minor of      390
Hypergraph multipartite      414
Hypergraph normal      384 395 401
Hypergraph partial      401 408
Hypergraph product of      386 419
Hypergraph r-partite      387 414 415
Hypergraph random      410
Hypergraph rank of      387
Hypergraph regular      415
Hypergraph regular uniform      1471
Hypergraph regular, uniform      1471
Hypergraph restriction of      386
Hypergraph separating      387 393
Hypergraph simple      387
Hypergraph theory      383
Hypergraph totally balanced      384 395 398 399
Hypergraph trace of      386
Hypergraph transversal      387
Hypergraph uniform      387 392 408 415
Hypergraph unimodular      395 397
Hypermetric cone      2049
Hypermetric inequalities      1568 2041 2046
Hyperoval      658
Hyperplanc      406 492 493 498 499 650 856
Hyperplane arrangement      2065—2067
Hypo-Hamiltonian graph      54
Hypomatchable graph      196
Hypopath      594
Hypotraceable graph      54
I nhomogencous recurrences      1134
Ibaraki, T.      169 170
Ibaraki, T.A.      117; see “Nagamochi H.”
Ibarra, O.H.      1584
Ice problem      1940
icosahedron      6 719 1460 1507
Icosian calculus      2176
Ideal relation theorem      1851
Ideal topology      1844
Idempotent      786
Identification      252
Ikura, Y.      1669 1695 1696
Illies, N.      1285
Image (of a hypergraph)      386
Immerman, N.      1638
Immerman, N.A      1513.; see “Cai J.”
Immersion (of a graph)      384 391
Immersion conjecture      343
Immink, G.K.      1138

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