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Graham R.L., Grotschel M., Lovasz L. — Handbook of combinatorics (vol. 1)
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Íàçâàíèå: Handbook of combinatorics (vol. 1)
Àâòîðû: Graham R.L., Grotschel M., Lovasz L.
Àííîòàöèÿ: 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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Ãîä èçäàíèÿ: 1995
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Äîáàâëåíà â êàòàëîã: 10.03.2005
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Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
Ïðåäìåòíûé óêàçàòåëü
Locally planar graph 262
Locally polar space 683
Location problem 398
Locbl, M. 1355 1356
Locke, S.C. 38 39
Locke, S.C.A. 37 38; J.A.”
Locke, S.C.B. 36; see “Egawa Y.”
Loebl, M. 1340 1347; P.”
Lofgren, L. 594
Log-concavity 1110 1477
Log-cost RAM 1608
Logan, B.F. 1155
Logarithmic 1-forms 2071
Logarithmic density 994
Logarithmic differential forms 2070
Logarithmic space 1637 1638
Logarithmic vector fields 2070
Lollipop 20
Lollipop lemma 20
Lomonosov, M.V.A. 149 150; E.A.”
Lomonosov, M.V.B. 163 167
Lomonosov, M.V.C. 167; see “Karzanov A.V.”
Lomonosov, M.V.D. 62; see “Kelmans A.K.”
Lone, Z. 84; see “Kouider M.”
Longest cycle 372
Longest cycle in a random permutation 1167
Longest path 2187
Loop 5 416 490 492 493 498 512
Loop (in a hypergraph) 386
Loopy game 2121
Lorea, M. 407
Lorea, M.A. 423; see “Hansen P.”
Lottery number 715
Louchard, G. 1210
Lovasz replacement theorem 267
Lovasz sieve 1798—1801
Lovasz theorem 243 253 267
Lovasz — Simonovits theorem 1238
Lovasz, L. 36 47 64 66 86 94 120 125 127 142 147 149 154 158 166 182—184 190 194—199 201 206 209 211 212 216 220 221 223 224 226 236 240 243 246 249 252 253 263—265 267 269 271 296 383 386—389 396 397 401 402 404 408—411 414-^)16 421 422 424 571 578 579 923 953—955 1238 1275 1297 1319 1385 1415—1417 1449 1455 1456 1464 1466 1470 1471 1473 1497 1498 1521 1548 1558 1559 1566 1588 1590 1593 1654 1667 1672 1687 1689 1695 1712 1713 1719 1720 1723 1724 1732 1736 1740 1774 1775 1825 1827 1830 1832 1833 1862 1920 1921 1944 2005 2009 2011 2051 2186 2188
Lovasz, L.A. 1741; see “Aleliunas B.”
Lovasz, L.B 1638.; see “Aletiunas R.”
Lovasz, L.C. 423 1827; N.”
Lovasz, L.D. 1499 1501; L.”
Lovasz, L.E. 865 903 1828; I.”
Lovasz, L.F. 36; see “Bermond J.-C.”
Lovasz, L.G. 1762 1831 1833 1850 1857; A.”
Lovasz, L.H. 36 158; J.A.”
Lovasz, L.I. 1673; see “Cook W.”
Lovasz, L.J. 507; see “Dress A.”
Lovasz, L.K. 210 1838; J.”
Lovasz, L.L. 422 425 456 837 840 865 1313 1319 1351 1798; P.”
Lovasz, L.M. 546; see “Gerards B.”
Lovasz, L.N. 253; see “Greenwell D.”
Lovasz, L.O. 1464; see “Greenwell D.L.”
Lovasz, L.P. 236 265 267 269 271 569 1545 1570 1592 1654 1662 1663 1689 1694 1695 1736 1920 2016 2042; M.”
Lovasz, L.R. 1566; see “Hurkens C.A.J.”
Lovasz, L.S. 941; see “Kannan R.”
Lovasz, L.T. 521 522 582 583 1546 1830; B.”
Lovasz, L.U. 953 954 1663; A.K.”
Lovasz, L.V. 1557 1590; N.”
Lovasz-reduced 953
Lovasz;s lattice basis reduction algorithm 953
Lovasz’s local lemma 457 1351 1798—1800
Lovasz’s perfect graph theorem 1689
Low vertex 255
Lower asymptotic density 935 982
Lower rank 1547
Lower record 1025
Lower-bound theorem 902 905
Lowner-John ellipsoid 2042
Loyd, S. 2137
lp see “Linear programming”
LP-solver 1574
LSG see “Latin square graph”
lth shadow 1295
Lu, J.-X. 710
Lubachevsky, B.D. 1146; see “Greenberg A.G.”
Lubell, D. 1270 2186
Lubiw, A. 399 400 1518
Lubotzky, A. 1385 1482 1754 1756—1758
Lubotzky, A.A. 1484 1485; L.”
Luby, M. 1442
Luby, M.A. 1555; see “Haken A.”
Lucas, E. 88 2170 2176
Lucasta 2150
Lucchesi, CL. 120 1676
Luczak, T. 355 360 361 373 375 376
Luczak, T.A. 361 363; S.”
Lueker, G.S. 1131
Lueker, G.S.A. 1635; see “Coflman Jr.E.G.”
Lueker, G.S.B. 1574; see “de la Vega Fernandez
Luks equivalence class 1514
Luks, E.M. 1511 1512 1515 1516
Luks, E.M.A. 1449 1511 1512 1514 1516—1520; L.”
Luks, E.M.B 1517.; see “Furst M.L.”
Lunardon, G. 661; see “Bader L.”
Lund, C. 246 247
Lund-Yannakakis theorem 246
Lundell, A.T. 1848 1859 1861
Luneburg, H. 661
Lunelli, L. 658
Lunn, A.C. 2172 2177
Lutton, J.L. 1997; see “Bonomi E.”
Lyndon, R.C. 1494
Lyons, R. 1504; see “Gorenstein D.”
m-separation 584
Maamoun, M. 83
Maass, W. 1713 2005 2011; A.”
Macaulay, F.S. 896
Macbeath, A.M. 1488
MacDonald, I.G. 948
MacGillivray, G. 276; see “Bang-Jensen J.”
Machine scheduling 1578
Machine-scheduling problem 1633
MacLane, S. 55 308
Maclunes, C.R. 704 2183
MacMahon, RA. 2171 2173 2174
MacMahon’s master theorem 2171
MacNeish, H.F. 705 2182
Macpherson, H.D. 629 1505
Macpherson, H.D.A. 640; see “Adeleke S.A.”
Macpherson, H.D.B. 627 1507 1510; W.M.”
Macpherson, H.D.C. 640 641; R.”
Macsyma 1210
MacWilliams theorem 779
MacWilliams transform 780
MacWilliams, F.J. 673 703 715 721 750 763 765 776 779 780 793 794 796 801 802 806 1722 2183
MacWilliams, F.J.A. 727 763 765; M.R.”
MacWilliams, J. 716
Mader, W. 114 148 149 154—157 159 167 258 333 335 1469
Madras, N. 1940
Maggiora, G.M. 1958 1977; M.A.”
Magic squares 2165 2180
Magidor, M. 2104; see “Foreman M.D.”
Magliveras, S.S. 2184
Magliveras, S.S.A. 703; see “Kramer E.S.”
Magliveras, S.S.B. 702 703; D.W.”
Magnanli, T.L. 114 125 128; R.K.”
Magnus, W. 1494 1751
Maheshwari, S.N. 128 143; J.”
Maheswari, S.N. 128; see Malhotra V.M.
Mahjoub, A.R. 1568 1570 1696 2048; F.”
Mahler, K. 926 931 1206
Mahler’s selection theorem 931
Mahlo cardinals 2098
Mahlo, p. 2098
Mahmoud, H.S. 1204 1205 1210 1213
Maier, H. 981
Maier, H.A. 991; see “Erdos P.”
Maikov chains 1558 1740
Maillct, E. 625
Main, R.A. 507 508; A.W.”
Majindar, K.N. 700 1708
Majority function 2013 2014
Majumdar, K.N. 700
Majumdar’s inequality 700
Makai, E. 831
Makai, E.A. 836; see “Erdos P.”
Makespan 1578
Malgrange, B. 1137
Malhotra, VM. 128
Malitz, S.M. 317
Mallion, R.B. 1972
Mallows, C.L. 1108
Malyshev, V.A. 1208
Manalastas, Jr.P. 45; see “Chen C.C.”
Manber, R. 223; see “Klee V.”
Mandel, A. 887 1836 1837 1857 1860—1862
Mandel, A.A. 1837 1838; J.”
Mani, P. 884 886 908 1459
Mani, P.A. 907; see “Blind R.”
Mani, P.B. 1857; see “Bruggesser H.”
Mani, P.C. 887 901; M.”
Mani, P.D. 158 166; D.G.”
Mani-Levitska, P. 311
Manifold 880
Manin, Y.A. 667
Mann theorem 984 985
Mann, H.B. 699 700
Mann, H.B.A 716.; see “MacWilliams J.”
Mann’s inequality 700
Manoussakis, Y. 69; see “Haggkvist R.”
Manoussakis, Y.A. 68; see “Bang-Jensen J.”
Mansfield, A. 317
Mansour, Y. 1299; see “Linial N.”
Mantel, W 12 1234
Manvel, B. 245
Manvel, B.A. 910; see “Holton D.A.”
MAP 1487 1488 1493
Map covering 1454
Map distance 1994
Maple 1210
Maps of DNA 1993
Mar, A. 862; see “Katchalski M.”
Marble, G.; see Matula, D.W. 245
Marcus, M. 755
Margulis graph 1265
Margulis, G.A. 958 1265 1385 1482 1752—1756
Markoff spectrum 934
Markov’s inequality 356 1811
Markvorsen, S. 1484
Marriage theorem 185 2041 2052 2185
Mars, M. 1297
Marsh III, A.B. 209 1679; W.H.”
Martel, C. 573 576 577; E.L.”
Martello, S. 1903; see “Fischetti M.”
Martens, H. 958
Martin, A. 1571 1573; M.”
Martin-Lof, A. 168; see “Kleitman D.J.”
Martingale 373
Martini, H. 831; see “Makai E.”
Maruani, J. 1965
Maruoka, A. 1755 1756; Sh.”
Marusic, D. 1468 1473 1474
Masavctas, K.A. 1968
Maschke theorem 630
Maschke, H. 1491
Mason, D.W. 87; see “Alspach B.”
Mason, J. 510
Mason, J.H. 832
Matching 181 388 412 500 1044 1316 1690 1973 2051
Matching algorithm 191 1589
Matching covered graph 195
Matching graph bicritical 1470
Matching graph matching critical 1470
Matching lattice 210
Matching matroids 500
Matching number 46 384 385 388 395 405 413—416 1295
Matching polyhedron 206
Matching polynomial 1731 1941 1973 1976
Matching polytope 208 412 1651 1665 1679 1692
Matching problem 922 1547 1578
Matchstick geometries 516
Mate, A. 1336 1389 2093; P.”
Mathematica 1210
Mathematical induction 2166
Mather, J. 1849 1851
Mathieu groups 622 625 716 2183
Mathieu, E. 627
Mathon, R. 704 1514
Mathon, R.A. 753
Matousek, J. 1371 1425 1437
Matousek, J.A 1357.; see “Larmann D.”
Matousek, J.B. 1355; see “Loebl M.”
Matrix circulant 1495
Matrix negative type 2047
Matrix representation 630
Matrix tree theorem 1047
Matroid 19 185 390 419 483—522 529 649 832 1545 1546 1587 1830 1857 2065 2066 2077 2178
Matroid algebraic 486 507
Matroid algorithm 556
Matroid base of 484 492 493 502 512 1307
Matroid binary 506 519 529 530 536 538 548
Matroid bond 493
Matroid cocycle 493 494 515
Matroid cographic 493 494 505
Matroid connected 491 493 504 584
Matroid deleting of elements of 494 495
Matroid dependent set of 483 488 495
Matroid direct sum 651
Matroid disconnected 491
Matroid dual 492—494
Matroid duality 492
Matroid Fano 488 503 514
Matroid flat of 484 490 497
Matroid free 486 494 497 504
Matroid graphic 491 494 505 516 518 532 547 594
Matroid induced 500
Matroid intersection 558
Matroid intersection algorithm (MIA) 559
Matroid intersection polytope theorem 564
Matroid intersection theorem 503 558
Matroid matching 500
Matroid modular 504
Matroid non-Fano 507
Matroid non-Pappus 504 508
Matroid non-representable 504
Matroid non-separable 491
Matroid orientable 1835
Matroid oriented 517 519 604 887 888 1834 1835 2066
Matroid parallel elements of 490 498
Matroid partition theorem 502 561
Matroid partitioning 561
Matroid paving 499
Matroid polygon 486 488
Matroid rank of 484 490 492
Matroid regular 505 506 531 536 538 541 543 544 1833
Matroid representable 486 503 511 529—531 540
Matroid simple 490 498 830
Matroid theory 496
Matroid transversal 500 501 506 508
Matroid underlying 1835
Matroid uniform 486 489 491 494 497
Matroid Vamos 659
Matroid vectorial 486
Matroid, algebraic over a field 507
Matsumoto, M. 1297
Matsumoto, M.A. 1297; see “Frankl P.”
Mattheiss, T.H. 881
Matthews, M. 62 66
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