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









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: Handbook of combinatorics (vol. 1)

: Graham R.L., Grotschel M., Lovasz L.

:

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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Matthews, P.      1743
Mattson Solomon polynomial      787
Mattson, H.F.      2184; see Asstnus E.F.
Mattson, Jr.H.F.      703 776 801; Jr.E.F.
Matula, D.      372 373 375
Matula, D.W.      245 250 251
Matzat, B.H.      1498
Maund, T.      638
Maurer, S.B.      1832
Maurers homotopy theorem      1832
Maurras, J.F.      1696
Max-cut problem      218 1555 1557 1568 1571 1573 1584 1592 1696 1892 1950
Max-flow min-cut (MFMC) property      124 402 599 1669
Max-flow min-cut (MFMC) theorem      1685 2051 2186
Max-flow problem      1640 1660
Maximal arc      661
Maximal cyclic code      785
Maximal independent set      922
Maximal intersecting family      1314
Maximal non-Hamiltonian graph      1275
Maximal nonbasis of order k      987
Maximal plane      259
Maximal stable set      1641
Maximal stable set coloring      244
Maximal stable set problem      1634 1640
Maximal strong component      16
Maximally non-Hamiltonian      52 54
Maximum cardinality search      117
Maximum code      667 790
Maximum distance separable (MDS)      777
Maximum flow      1660
Maximum flow in a capacitated network      2188
Maximum matching      263 1610
Maximum subgraph density      362 366
Maximum vertex degree      370
Maximum weight stable set      227
Maxwell, J.C.      1921
Mayeda, W.      1921
Mayer, I.A.      1511; see Filotti I.
Mayer, J.      262 316
Maynard, R.      1947; see Barahona F.
Maynard, R.A.      1947; see Bieche I.
Mazo, J.E.      1122
Mazur, B.      890
Mazzocca, F.      663
Mazzocca, F.A.      663; see Cameron P.J.
McConnel, R.      1454
McCord, M.C.      1844 1850
McCormick Jr, W.T.      1878 1879
McCuaig, W.      82 83
McDiarmid, C.      957; see Cook W.
McDiarmid, C.J.H.      373; see Grimmett G.R.
McDiarmid, C.J.H.A.      1635; see Karp R.M.
McElicce, R.J.      806
McElicce, R.J.A.      406; see Erdos P.
McFarland, R.L.      699 730
McFeal, R.G.      930
McGeoch, L.A.      323; see Furst M.L.
McGeoch, L.A.A.      1559 1950; D.S.
McGuinness theorem      1238
McGuinness, S.      1238
McIver, A.      637
McKay, B.D.      1188 1189 1347 1462 1511 1729
McKay, B.D.A.      1209 1729 1731; C.D.
McKay, B.D.B.      62 910; D.A.
McKay, B.D.C.      1203; see Wright R.A.
McKay, J.      673 683; C.W.
McKay, J.A.      701; see Urn C.W.H.
McKenna, J.      1186; see Bertozzi A
McKenzie, P.      1486
McKenzie, R.      1464 1466
McKinsey, J.C.C.      2189
McLaughlin, J.E.      656
McLaughlin, J.E.A.      671; see Higman D.G.
McMillan, B.      1029
McMillans inequality      1029
McMullen conditions      895
McMullen, C.      952
McMullen, P.      853 879 882 893 894 897899 901 948950 1841
McMullen, P.A.      951; see Jbetke U.
McMullens conjecture      898
McNulty, G.      460; see Kierstead H.
MDS      see Maximum distance separable
Mead, D.G.      864
Measurable cardinal      2099
Mechanism      1966
Meet      1843
Meet-contractible      1852
Mehlhom, K.      2006
Meinardus, G.      1194
Meir, A.      1163
Meixner, T.      683; see Del Fra A.
Melchior, E.      816
Melchiors inequality      817 824 828
Mellin transform      1191 1192
Melnikov, L.A.      313
Melnikov, L.S.      249
Melnikov, L.S.A.      260; see Aksionov V.A.
Menages problem      2171
Mendelsohn, E.      668 712 1498
Mendelsohn, E.A.      713; see Andersen L.D.
Mendelsohn, N.S.      704
Menger theorem      35 129 145 186 438 591 2186
Menger, K.      35 145 186 533 2186
Mengerian hypergraph      384 395 397 402 404
Mengersen, I.      847; see Harborth H
Menon, P.K.      730
Meredith, G.H.J.      89
Merkle, R.C.      2030
Meromorphic      1147
Merrifleld, R.E.      1958
Mertens conjecture      955
Mertens theorem      973
Meshalkin, L.D.      1270
Mesner, D.M.      158
Mesner, D.M.A.      749 755; R.C.
Mesner, D.M.B.      702 704 712; E.S.
Mesner, D.M.C.      36; see Watkins M.E.
Method of moments      366
Method of stationary phase      1173
Metric      2047
Metric cone      2047 2050
Metric scheme      760
Metropolis filter      1558 1559
Metropolis, N.      1558
Metsch, K      713.; see Beutelspacher A.
Meyer, A.R.      1625
Meyer, J.-C.      407
Meyer, J.C.      1314
Meyer, R.R.      1691
Meyniel theorem      32 269
Meyniel, H.      32 269
Meyniel, H.A.      313; see Duchet P.
Mezard, M.      1947
MFMC      132; see Max-flow min-cut min-cost circulations
Micali, S.      2033; see Blum M.
Micali, S.A.      1511 1515 2035; O.
Micali, S.B.      1630 2031 2034; S.
Micchelli, C.A.      958; see Dahmen W.
Michel, L.      945 958; D.
Middendorf, M.      162 164
Mignotte, M.      1131; see Cerlienco L.
Mihailova, K.A.      1519
Miklos, D.      1306
Milgram, A.N.      43 44 263; T.
Miliotis, P.      1696
Miller, E.W.      455; see Dushnik B.
Miller, G.      954; see Landau S.
Miller, G.L.      1458 1511 1512 1514
Miller, G.L.A.      327; see Filotti L.S.
Miller, W.      1990
Miller, Z.      1475; see Blass A.
Mills, G.      1355; see Erdos P.
Mills, W.H.A.      702 703 714
Mills, W.H.B.      729; see Gordon B.
Mills, W.H.C.      714; see Hartman A.
Mills, W.H.D.      714; see Lamken E.R.
Milman, V.      2043
Milman, V.A.      903 2042; T.
Milman, V.D.      1740 1755 1756 2044; N.
Milman. Y.D.      926 930; J.
Milne, S.C.      1038; see Garsia A.M.
Milne-Thomson, L.M.      1131
Milner, E.C.      1285
Milner, E.C.A.      1303; see Hilton A.J.W.
Milner, P.C.      1966
Milnor, J.      923 926 943 958 14781480 1761 1847 1848 2129
Min Aung      62
Min-costpath      120
Min-max property      81
Min-max relations      396
Min-max theorem      394 395 403
Mine, H.      2170
Mine, H.A.      755; see Marcus M.
Mines conjecture      1209
Minimal basis of order k      987
Minimal Cayley graph      1473 1474
Minimal cyclic code      785
Minimal degree      2053 2054
Minimal face      1655
Minimal forbidden unit-distance graphs      844
Minimal lattice simplex      951
Minimal polynomial      1496
Minimal Radon partition      849
Minimal strong component      16
Minimal system      1656
Minimally rigid      1920
Minimax theorem for games      2189
Minimax theorems      2186
Minimum capacity odd cut      207
Minimum cost flow      135 1900
Minimum cost matching      1579
Minimum cut      493
Minimum degree      244
Minimum distance      776
Minimum node coloring problem      1634
Minimum spanning-tree problem      2187
Minimum vertex degree      370
Minimum-length spanning tree      2187
Minkowski plane      661
Minkowski sum      924 949
Minkowski Hawka theorem      932
Minkowski, H.      927 930 1655
Minkowski-reduced bases      927 928
Minkowskis fundamental theorem      929 931 952
Minkowskis inequality      947
Minkowskis linear form theorem      933
Minkowskis second fundamental theorem      930
Minor      8 257 391 403 494 496 505507 519 529 537 1499
Minor of graph      304
Minor of hypergraph      390
Minoux, M.      1900
Minoux, M.A.      1545; see Gondran M.
Minterm      1804
Minty, G.J.      66 183 226 227 260 263 517 534 1694
Minty, G.J.A.      909; see Klee V.
Miquel theorem      659
Mirchandani, P.B.      1898
Mirsky, L.      501 503 562
Misere Nim      2150
Misere play      2121 2145 2149 2157
Mitchell, C.J.      730
Mitchem, J.      77 78
Mixed volumes      946 949 951
Mixing rate      1741 1742
Miyamoto, T.      26 28 1262; Y.
Miyaoka Yau inequality      828
Miyaoka, Y.      828
Mnev, N.E.      886 890
Mnukhin, V.B.      1522
Mobius function      10521054 1712 1847 2011 2171
Mobius inversion      1051 1721
Mobius plane      659 704
Mobius transformation      2143
Mock turtle theorem      2142 2144
Mock turtles      2142 2144
Modular flat      504
Modular forms      922
Modular functions      570 922
Modular lattice      651
Modular matroid      504
Moebius      2142 2144 2159
Moews, D.      1124
Mogul      2142 2144 2159
Mohar, B.      1497 1592
Mohar, B.R.      1738
Molecular connectivity index      1976
Molecular framework      1965 1967
Molecular graph      1957
Molecular similarity      1977
Molecular structures      1957 1960
Molecular symmetry      1965 1977
Molecules      1957 1958 1974
MOLS      see Mutually orthogonal Latin squares
Molzkin, T.      697 812 814 816 818 827 846
Moment curve      893
Moments of distribution functions      1L13
Monge, G.      2189
Monma, C.      1573; see Grotschel M.
Monma, C.L.      1565; see Erickson R.E.
Monochromatic set      1334
Monocycles      1976
Monoid      1451
Monomcr-dimer problem      1941 1951
Monotone      354
Monotone circuit      2013 2016 2017
Monotone graph property      1822
Monotone increasing      1267
Monotone map      437
Monotone property      355 1253
Monsky, P.      864
Monster group      922 949
Montgomery, D.      1479
Montgomery, H.L.      981 990
Montgomery, P.      1371; see Erdos P.
Moon, J.      1793; see Erdos P.
Moon, J.W.      32 59 79 90 1499
Moon, J.W.A.      243; see Brown W.G.
Moon, J.W.B.      264 1268 1274; P.
Moon, J.W.C.      1163; see Meir A.
Moore graph      63 760 1264
Moore, E.H.      2181 2184
Moore, J.I.      468; see Trotter W.T.
Moran, A.      1000; see Pritchard P.A.
Moran, S.      1511 1515; L.
Morelli, R.      947 949
Moret, B.M.E.      1896
Morgan algorithm      1970
Morgenstem, I.      1951; see van Hemmen J.L.
Morgenstem, O.      2189; see von Neumann J.
Morrison, J.A.      1206; see Chung F.R.K.
Moser, L.      811 836 838 1125 1126 1182
Moser, L.A.      59; see Moon J.W.
Moser, W.O.J.      811
Moser, W.O.J.A.      677 1488 1494; H.S.M.
Moser, W.O.J.B.      814 818; L.M.
Moses, S.      1484; see Fiat A.
Motdores      2142 2144
Motwani, R.      1592; see Karger D.
Motzkin, T.S.      1655
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