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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.
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: 1281
Добавлена в каталог: 19.03.2005
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Предметный указатель
Optimal partial k-path partition 50
Optimization problem 958 1602 1662
Optimum arborescence problem 1580
Oracle 556 1602 1620-1622 1625—1627
Oracle Ruring machine 1621
Orbilals 766
Orbit-counting lemma 616 1462
Orbit-counting theorem 2171 2172
Orbits 1058
Orchard problem 823
Orchel, A.W. 656
Ordaz, O. 42 45 see B.
Order 386
Order complex 1844
Order diagram 436
Order homotopy theorem 1851
Order of a graph 5
Order-ideals 1844
Order-preserving map 437 1824 1844 1852
Order-reversing map 1824 1844
Ordered field 889
Ordered partitions of a set 1040
Ordered set 435 2109
Ordered tree 1033
Ordering lemma 1376
Ordinal 2109
Ordinal arithmetic 1354
Ordinal number 1354 2109
Ordinal sum 1845 2138
Ordinary generating function 1073 1095
Ordinary line 812
Ordinary partition symbol 2093
Ore theorem 23
Ore, O. 23 28 42 237 258 1257 1497 2176
Orientable 518
Orientable matroid 1835
Orientable surfaces 261
Orientation 15 119 145 148
Oriented graph 15
Oriented matroid 517 519 604 887 888 1834 1835 2066
Oriented matroid circuit 1835
Oriented matroid, linear 1835
Oriented matroid, realizable 1835
Oriented stability number 45
Orlik — Solomon algebra 2068
Orlik, P. 1822 1857 2065 2068
Orlim, J.B. 114 125 128 135 see R.K.
Ornslein, D. 715 1440 see H. see H.
Orszag, S.A. 1210 see C.M.
Orthogonal array 765 798 1715
Orthogonal group 620 1460
Orthogonal Latin squares 2168 2180
Orthogonal polar space 663
Orthogonal representation 271
Orthogonal resolutions 712
Orthogonality relation 756
Ostmann, H. 987
Ostrom — Wagner theorem 654 670
Ostrom, T.G. 654 669 670
Ota, K. 75 1308 1313 see N. see P.
Out-of-killer Method 1581
Outcome 2123
Outdegrec 15
Outerplanar graph 308
Output gale 2012
Oval 658 683
Overhagen, I. 950
Overlap graph 58
Overlapping bridges 58
Ovoid 675
Oxley, J.G. 491 501 505 508 516 522 523 535 540 1931 2178 see T.H.
Oxtoby, J.C. 1474
Ozanam, J. 2168
Ozawa, T. 1921
O’Brien, E.A. 1484 see F.
O’Brien, R.C. 87
O’Keefe, E.S. 709
O’Nan — Scott theorem 617 656
O’Nan, M.E. 631
P-geometry 683
P-polynormal scheme 761
P-recursive sequences 1109
P-saluraled 1268
p-vector 909
Pach, J. 811 836 844 846 854 865 1236 1357 1522 1578 1721 1722 1725 see I. see P. see P. see J. see D. see W.O.J.
Pachner, U. 879 1857 see G.
Pack, J. 837 see D.
Packing 80 142 404 776 934 1276
Packing constant 935
Packing density 935
Packing graphs 1276
Packing trees 1280
Padberg, M. 1573 see K.O.
Padberg, M.W. 131 132 207 268 1571—1573 1654 1658 1662 1667 1680 1681 1695 1696 1881 2188 see E. see H. see M.
Pairing theorem 1957 1972
Pairwise balanced design see PBD
Palasli, I. 818 820 821 822 823 see Z.
Paley graphs 1760 1761
Paley matrix 795
Paley, R.E.A.C 730 753 2183
Palfy, P.P. 1460 1516 1520 see L.
Palka, Z. 370
Palmer, E. 1060 see F.
Palmer, E.M. 354 1162 1195 1213 see F.
Panconnected graph 78
Pancyclic graph 24 25
Pancyclic ordering 78
Pancyclic vertex 32
Pannwitz, E. 836
Pans, J. 1353 1356 see L.
Papadimitriou, C.H. 183 1557 1659 1662 1693 1696 1888 1903 1904 see D.S. see R.M. see A.W.J.
Papernov, B.A. 163
Pappus configuration 813
Pappus theorem 652 653
Parallel algorithm 1642
Parallel class 705
Parallel computation 1637 1640
Parallel elements of a matroid 490 498
Parallelism 655 1544
Parallelotopes 853 858 921 944 945
Parameter sets 1360 1362
Parent 13
Paris, L. 2070
Parisi, G. 1947 see M.
Parity check 777
Parity function 1625 1626 1803 1806 2013 2016
Parity function, polynomial-time hierarchy 1626
Parity gates 2013
Parity of a walk 9
Parker, E.T. 697 705 707 2183 see R.C.
Parker, R.A. 622 see J.H.
Parsons, T.D. 60 1474 see B. see D.
Parthasarathy, K.R. 268
Partial (sub)hypergraph 386
Partial geometry 684
Partial hypergraph 401 408
Partial k-coloring 49
Partial k-path partinon 50
Partial linear space 668 696
Partial order 435
Partial representation (PR) 584
Partial t-design 1306
Partial transversal 186 500 501 2178
Partially balanced incomplete block design See PBIBD
Partially ordered sets see Posets
Partite construction 1381 1391
Partite lemma 1390
Partite system 1389
Partition 80 426 1037 1056 1068 1727 2168 2172
Partition (vertex partition) 81
Partition function 1927 1930 1941 1944 1949
Partition lattice 444 446
Partition of a graph 43 1830
Partition of integers 2167
Partition regular 1358
Partition-generating function 2168
Partitionable 561
Partitions with bounded part sizes 1164
Partizan games 2127 2145 2150 2158
Pascal's triangle 2166
Pascal, B. 2166 2167
Pasini, A. 683 see P.J. see A.
Pasquier, G. 791
Patashnik, O. 1071 1073 1090 1131 1132 1212 see R.L.
Path 9 114 391 400 1472
Path (in a hypergraph) 387
Path compression 2025 2026
Path decomposition 86
Path double cover 93
Path partition of a graph 43
Path system 26
Path width 337
Path-tough graph 53
Patterson, S.J. 958
Paturi, R. 1765
Paul, W. 1629 see J.
Paul, W.J. 1629 1754
Paving 498
Paving matroid 499
Pavlov, A.I. 1126
Payan, C. 49 416 see F. see J
Payne, S.E. 676
PBD (pairwise balanced design) 696
PBD-closed set 707
PBIBD (partially balanced incomplete block design) 706
Pcnttila, T. 656
Peano arithmetic 1352
Peck, G.W. 474 475
Pedoe, D. 889 see W.V.D.
Peled, U.N. 1696 see P.L.
Pellegri, G. 661
Peltesohn, R. 09
Pen-strokes 2176
Penn, M. 165 see E.
Pennce, S, see Kicrstcad, 11. 443
Penrice, S.G. 1209
Percolation 1932
Percolation methods 1210
Percolation theory 1933
Percsy, N. 666
Percus, J.K.. 1941 1944
Perfect 2-matching 219 264
Perfect and extreme forms 958
Perfect codes 717 778 802 804
Perfect graph theorem 267 270 1687
Perfect graphs 182 265-267 269 270 1546 1591 1687
Perfect matching 46 181 410 1579 1588 1590 1627 1628 2016 2052 2186
Perfect matching polytnpe 206 1666 1680
Perfect numbers 1008
Perfect set 760
Perfect, H. 438 522 see V.
Perfectly 1-faclorable 80
Performance guarantee 244 1547 1634
Performance guarantee, absolute 1633 1634
Performance guarantee, asymptotic 1633 1634
Performance ratio 1546 1547
Perin, C. 215 see K.G.
Peripheral circuits 58 152
Perko, A. 717 see A.
Perles, M.A. 438
Perlwitz, M.D. 1990 see M.S.
Permanents 221 1208 2170
Permanents, van Der Waerden's conjecture 1456
Permutation 1024 1027 1050
Permutation character 631
Permutation digraph 1047
Permutation group 614 1516 1963 2053 2054
Permutation group, oligomorphic 1509
Permutation group, rank 3 1477
Permutation group, regular 1467
Permutation group, t-homogeneous 1468
Permutation group, t-transitive 1468
Permutation matrix 187
Permutational isomerization reaction 1965
Permutational isomers 1965
Permutations with distinct cycle length 1127 1171
Permutations with restricted position 1043
Permutations without long increasing subsequences 1155
Pernn, D. 1031 see J.
Perron, O. 1140
PERT 2187
Petersen graph 51 54 62—64 75 89 92 189 211 295 296 377 515 548 701 750 752 760 1452 1472
Petersen theorem 188
Petersen, B. 1922
Petersen, J. 51 89 188 260
Petersen, K. 1438 1439
Peterson, B.B. 850
Peterson, Ch. 697
Peterson, G. 1997 see D.
Peterson, W.W. 806
Petrenjuk, A.Ya. 696
Petrovskii, I.B. 1761 see O.A.
Pfaffian 222 669 1590 1732 1944
Pfaffian orientation 223 224
Pfeiffer, F. 162 164 see M.
PG 696
Phase transition 358
Phillips, D.T. 125
Phillips, R. 1385 1482 1754 1756—1758 see A.
Physical sciences 1958
Pick theorem 947
Pickert, G. 652
Pidgeonhole principle 1334
Piecewise linear see PL
Piepmeyer, L. 839 848 see H.
Pierce, T.H. 1969
Piff, M.J. 507
Pigeonhole Principle 1802 2184
Pinsker, M. 1755
Pinson, E. 1906 see J.
Pintz, J. 408 991 1350 1438 see M. see J.
Pintz, T. 861 see J.
Piper, F. 1710 1729 see D.
Piper, F.C. 669 see D.R.
Pippenger, N. 410 425 1629 1755 see W.J.
Piras, F. 1131 see L.
Pisanski, T. 325
Pittel, B. 360 361 369 see P. see S. see T.
PL (piecewise linear) 1855
PL (piecewise linear) balls 1855 1859
PL (piecewise linear) map 1860
PL (piecewise linear) sphere 886 1855 1857 1859
PL (piecewise linear) topology 1859
Plambeck, T. 2136 2158 see A.
Planar 291 296 494 532 538 540 546 883 1492 1494
Planar dual 55
Planar embedding 55 1557
Planar graph 55 153 237 259 277 306 494 1511 1564 2078
Planar graph, 3-colorabilily 246
Planar poset 468
Planar space 697
Planar ternary ring 668
Planarity 360 365 493
Plane cubic curve 2180
Plane graph 55 306
Plane of symmetry 884
Plane partition 1057 2174
Plane triangulation 259 260
Planes and hyperplanes 826
Planted plane tree 1140
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