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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.
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Рубрика: Математика /Алгебра /Комбинаторика /
Статус предметного указателя: Готов указатель с номерами страниц
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Год издания: 1995
Количество страниц: 1120
Добавлена в каталог: 10.03.2005
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Предметный указатель
Impartial games 2127 2132 2134 2135 2138 2141 2145 2150 2151
Implicit functions 1161 1195
Imprimitive action 617
Imrich, W. 1265 1465 1466 1494 1495 1753
Imrich, W.A. 1465; see “Aurenhammer F.”
Imrich, W.B. 1474 1522; C.D.”
In, M.A. 1919; see “Murota K.”
Inaccessible cardinal 2112
Incentive 2128
Incidence algebra 1052
Incidence graph 18 386 421 674
Incidence matrix 6 386 695 1707 1739 2170 2183
Incidence poset 469
Incidence relation 5
Incidence vector 1567 1653
incident 18 55
Inclusion and exclusion 2167 2171
Inclusion-exclusion formula 29
Inclusion-Exclusion Principle 971 1044 1049 1051 1053 1087
Indecomposable permutations 1030 1116
Indefinite hypergeometric summation 1075
Indegree 15
Independence number 40 372 1258 1464 1471 1772 1773
Independence polytope 1678
Independence structure 2178
Independence system 555 582 1546
Independent set 40 483 485 488 489 491 492 494 500—503 512 956 1471 1757
Index of a design 696
Index of a sublattice 924
Induced character 632 633
Induced forbidden subgraph 1254
Induced hypergraph 386
Induced matroid 500
Induced subcomplex 1857
Induced subgraph 8
Infinite families 851
Infinite graph 5 2179
Infinite locally finite 1470 1475 1480 1484 1505
Infinite Ramsey theorem 1351 1352
Infinitesimal rigidity 1915
Information rate 775
Information symbols 777
Ingham, A.E. 1124 1125 1129 1130
Ingham’s Tauberian theorem 1129
Inglelon, A.W. 507 508 530
Ingleton, A.W. 520; see “Dunstan F.D.J.”
Inner distribution 759
Input gate 2012
INSERT operation 2019—2021 2023
Instance 14 1601
Integer decomposition property 1664
Integer distances 847
Integer hull 1691
Integer lattice 924 925 945
Integer matrix 952
Integer polytope 949
Integer program feasibility problem 956
Integer programming 921 952 956
Integer programming problem 1618
Integral geometry 958
Integral lattice 924
Integral polyhedron 1656
Integral polymatroid 566
Integral quadratic forms 922
Integral solution 397
Integral vector 1652
Interaction graph 1949
Interactive proof 1511 1631
Interactive proof system 1630 1631
Interactive protocol 1630
Interior point method 1592
Interlacing 1734
Internal vertices 9 40
Internally disjoint 34
Intersecting cuts 1566
Intersecting families 1301 2187
Intersecting hypergraph 387 391 394 411 412 425 1295
Intersecting submodular function 572
Intersection 7
Intersection graph 387
Intersection matrices 399 755
Intersection numbers 754
Intersection-closed family 1296
Intertwining conjecture 344
Interval graph 266 1994
Interval greedoid 1830
Interval hypergraph 395 398 400
Interval in a lattice 393
Interval order 459
Interval scheduling 1901
Intractable 598
Intractable mairoid problem 557
Intramolecular rotations 1966
Intrinsic r-volume 946
Invariant 1512 2177
Invariant complete 1456
Invariant integration 2051
Invariant theory 2175
inversion 1027 1105
Inversion law 950
Inversion table 1027
Inversive plane 659 704
Invertibility 885
Involution 519 671 884
Iri, M. 160 595 1913 1921 2050
Iri, M.B. 1919; see “Recski A.”
Irreducible 502 815 1854
Irreducible character 630
Irreducible cyclic code 785
Irreducible representation 630
Irredundant base 637
Irredundant system 1656
Irregular node 227
Irving, R. 1373
Isaacs, R. 275 1275
Isaacson, J.D. 245; see “Matula D.W.”
Isbell, J. 628
Iscmorphic 5 486 877 878 907 2109
Ishizaki, Y. 1921; see “Ohtsuki T.”
Ising model 1210 1928 1944 1950 1951
Ising model partition function 1977
Ising problem 1943
Isolated 934
Isolated singularities 1148
Isolated vertex 7
Isolation of zeros 1158
Isomer enumeration 1960
Isomeric structures 1960
Isomeric synthons 1969
Isomerization reactions 1966 1967
Isomers 1970
Isometry 884
Isomorpfatc hypergraphs 386
Isomorphism 5 392 1450 1510 1514 1515
Isomorphism classes of graphs 1060
Isono, K. 1994
Isoperimetric 1297
Isoperimetric ratio 1481
Isoperimetry 1481
Isospectral 1497
Isotopy theorem 885
Isthmus 292
Itai, A. 165
Itai, A.A. 143; see “Zenavi A.”
Ito, N. 697
Ito, N.A. 697; see “Enomoto H.”
Ito, T. 750 761 762 1496 1505; E.”
Ivanov, A. 683 768 1506
Ivanov, A.A. 1506; see “Faradzev I.A.”
Ivanov, A.V. 1506; see “Faradzev I.A.”
Ivanov, A.W. 1506; see “Ivanov A.A.”
Ivchenko, G.I. 370
Iwanicc, H. 982
J ones polynomial 2041 2074—2077
Jackson theorem 61 1259 1261
Jackson, B. 27 42 43 45—47 53 54 59—63 66—68 83 90 154 155 1259 1261 1474
Jackson, B.A. 85 94; J.-C.”
Jackson, B.B. 61; see “Broersma H.J.”
Jackson, B.C. 52; see “Enomoto H.”
Jackson, B.D. 73 74 155; H.”
Jackson, B.E 49.; see “Hahn G.”
Jackson, D.M. 1023 1088 1098 1107 1213; I.P.”
Jacobi polynomials 1988
Jacobi symbol 2031 2032
Jacobi, C.G.J. 1729
Jacobian varieties 958
Jaeger, F. 65 85 89 92—94 292 297 416 513 516
Jaeger, F.A. 85 94; J.-C.
Jaikumar, R.; see Fisher, MX. 1884 1885
Jakobsen conjecture 275
Jakobsen, IT. 258 275 333
Jambu, M. 2068 2072
Jamefelt, G. 658
James, G.D. 633 1725
Jamison, R. 406 466 826
Jamison, R.A. 522; see “Edelman P.H.”
Jamison, R.E. 662 1771
Jamshy, U. 92
Janko, Z. 731
Janot, C 958
Janson, S. 361 363 367 369
Janson, S.A. 1090 1210; A.D.”
Jech, T. 2087
Jenkyns, T. 582 1547
Jensen, H.F. 314
Jensen, R. 578; see “Korte B.
Jensen, T.R. 236 238
Jensen’s Inequality 1814
Jermm, M. 1486 1741 1742
Jeroslow, R. 1692
Jeroslow, R.G. 1692
Jeroslow, R.G.A. 1692;see “Blair C.E.”
Jerram, M.R. 637 1517 1558 1559 1951
Jerram, M.R.A. 1558; see “Sinclair A.J.”
Jerrum’s filter 637
Jewett, R.I. 1338; see “Hales A.W.”
Jezek, J. 1368
Jichang, S. 446
Jimbo, Sh. 1755 1756
Job shop scheduling 1904
Jockush, C.G. 1357
Johnson bound 782
Johnson scheme 763
Johnson, D.S. 244 245 423 1548 1551 1556 1557 1559 1630 1632 1635 1636 1888 1950
Johnson, D.S.A.; see Coflman Jr, E.G. 1552
Johnson, D.S.B.; see Garey, M.R. 14 246 247 315 326 910 953 956 1511 1551 1601 1632 1634 1998 1999
Johnson, E.L. 1696; see “Crowder H.”
Johnson, E.X. 1685 1696
Johnson, E.X.A. 1696; see Hammer P.X.
Johnson, E.X.B. 84 212—214 216 217 403 1950; J.
Johnson, M.A. 1958 1977
Johnson, P. 1970; see “Wang T.”
Johnson, P.D. 272; see “Hilton A.J.W.”
Johnson, S.M. 714 783 1473
Johnson, S.M.A. 1696 2188; G.B.”
Johnson, V.B. 2045
Join-contractible 1852
Joined vertices of a graph 5
Joins 1843 1845 2149 2150
Jolley, L.B.W. 1075
Jones, C.M. 1894; see “Arnold L.R.”
Jones, G.A. 1487
Jones, R. 1990; see “Waterman M.S.”
Jones, V.F.R. 2074
Jones, W.B. 1140
Joni, S.A. 1107; see “Garsia A.M.”
Jonsson, B. 1464 1466
Jordan curve theorem 306
Jordan group 625 626 640
Jordan measurable 932
Jordan, C 617 626 1457 1479 2053
Joyal, A. 1024
Juenger, M. 1568 1572 1573 1950 1951; F.”
Juenger, M.A. 1572 1573 1696 1950 1951; M.”
Juhasz, R. 861
Jump 418
Jump value for r-graphs 1248
Jumping arc 575
Jung, H.A. 62 158 166 536 1259
Jung, H.A.A. 265; see “Brown W.G.”
Jungen, R. 1170
Junger, M. 1573 1696 1890
Jungerman, M 1493
Jungnickel, D. 662 699 705 2184
Jungnickel, D.A. 699; see “Beth Th.”
Jurgensen, H. 805; see “Duske J.”
Just, B. 958; see “Hastad J.”
k-acyclic 1847
k-arc-connected 147
k-blocking 404
k-blocking number 396
k-book 303
k-canonical representation 895
k-chromatic 388 406 1724
k-chromatic graph 48
k-chromatic hypergraph 417
k-cliques 1457
k-colorable 388
k-colorable graph 48 246
k-colorable hypergraph 246 415 417 422
k-coloring 48 388
k-complete filter 2114
k-connected 34 147 584 1846
k-connected greedoid 1831
k-critical 417 421 425
k-dominating circuit 42
k-edge colorable 51
k-edge coloring 51
k-edge connected 34 147 150
k-extendable graph 195
k-face colorable 56
k-face coloring 56
k-flow 277
k-flow problems 277
k-graph 1295
k-Helly property 393
k-linkage 35
k-matching 404
k-matching number 396
k-optimal 49 50
k-partite family 1299
k-partite k-graphs 1323
k-path problem 341
k-section (of a hypergraph) 386
k-skeleton 1843
k-strong 34
k-tree 27
k-truncation 494
k-uniform family 1295
k-walk 27
Kabadi, S.N. 580 581
Kabadi, S.N.A. 579; see “Chandrasekaran R.”
Kabatyanskii, G.A. 937
Kahn — Saks — Sturtevant conjecture 1286
Kahn — Saks — Sturtevant theorem 1285
Kahn, J. 448 453—455 476 507 516 531 659 661 1285 1286 1313 1719 1823 1853
Kahn, J.A. 1507; see “Bannai E.”
Kahn, J.B. 1314; see “Boros E.”
Kahn, J.C. 412 456 457; Z.”
Kahn, J.D. 1744
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