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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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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.


ßçûê: en

Ðóáðèêà: Ìàòåìàòèêà/Àëãåáðà/Êîìáèíàòîðèêà/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Ãîä èçäàíèÿ: 1995

Êîëè÷åñòâî ñòðàíèö: 1120

Äîáàâëåíà â êàòàëîã: 10.03.2005

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
Motzkin, T.S.A.      882 907; G.”
Moufang polygon      676
Mount, D.M.      1460 1511; L.”
Muehlbacher, J.      220
Muller theorem      240
Muller, V.      240 1521 1722
Muller, W.R.      1961 1962; J.V.”
Mullin, R.C.      703
Mullin, R.C.A.      714; see “Hartman A.”
Mullin, R.C.B.      714; see Lamken E.R.
Mullin, R.C.C.      714; see Mills W.H.
Mullin, R.C.D.      805; see “Blake I.F.”
Mulmulcy, K.      224 225 1589 1732 1803
Multicommodity flows      159 218 548 2041
Multicomplex      896
Multicut      166
Multidimensional continued fractions      958
Multigraph      5
Multinomial theorem      2167 2169
Multipartite hypergraphs      414
Multiple alignment      1990
Multiple edges      5 15
Multiple transitive group      623 625
Multiplication table      997
Multiplicity      386 426
Multiplicity free      766
Multiplied Helly theorems      852
Multiports      1913
Multisets      1036
Multiterminal and multicommodity flows      2188
Multivariate generating functions      1186
Mumford, D.      958
Mumford, D.A.      951 958; G.F.”
Munkrcs, J.R.      1842 1846 1856 1858 1859
Murasugi, K.      2078
Murota, K.      1913 1919 1923
Murray, S.H.      1484; see “Celler R.”
Murty, K.G.      215
Murty, U.S.R.      57; see “Bondy J.A.”
Mutually orthogonal Latin squares (MOLS)      672 705 2182
Muzychuk, M.E.      1502; see “Klin M.H.”
Mycielski, J.      240
Myers, E.W.      1990; see “Miller W.”
n-arc      778
n-cube      1496
n-parameter set      1361 1364
Naddef, D.      210 909 1656
Nagamochi, H.      117
Naik, R.N.      392
Nakamura, A.      150; see “Watanabe T.”
Nakamura, M.      580 581
Narayana numbers      1034
Narayanan, H.      1921
Nash-Williams theorem      1258 1261
Nash-Williams, C.Sl.J.A.      65; see “Harary F.”
Nash-Williams, C.St.J.A.      25 27 28 41 88 145 148 297 343 501 562 1258 1261 1356 1521 1744
Nathans, D.      1994
Nathanson, M.B.      985 987
Nathanson, M.B.A.      987; see “Erdijs P.”
Neaderhouser, C.C.      836
Near polygon      685
NEAREST INSERTION heuristic      1549 1550
NEAREST NEIGHBOR heuristic      1549
Nearly perfect code      783
Necklace problem      1965
Negacyclic      784
Negami, S.      539
Negative circuit      133
Negative of a game      2124
Negative type cone      2049
Neietril, J.      1351; see “Alon N.”
Neighbor      5
Neighborhood complex      253 1825 1827 1851
Neighborliness      902
Neighborly      893 894
Nelson, R.      236
Nemetz, T.      406 714 1320; G.O.H.”
Nemhauser, G.L.      183 219 404 1545 1574 1695
Nemhauser, G.L.A.      1892; see “Carlson R.C.”
Nemhauser, G.L.B.      1896; see “Hsu W.-L.”
Nemhauser, G.L.C.      1669 1695 1696 see Y.”
Nemirovskil, A.S.      1661; see “Yudin D.B.”
Nerve      1849
Nerve theorem      1850
Neselril, J.A      1357 1367; P.”
Nesetril, J.      240 424 1333 1336 1337 1340 1351 1355 1356 1369 1370 1373—1377 1379—1382 1385—1389 1391—1393
Nesetril, J.B.      276; see “Hell P.”
Nesetril, J.C.      1368; see “Jciek J.”
Nesetril, J.D,      462; see “Kriz I.”
Nesetril, J.E.      1355; see “Loebl M.”
Nested family      203 1566
Net      684 685
Network flows      1685
Neubuscr, J.F.      943; see “Brown H.”
Neumaier, A.      681 685 702 759 768 1734
Neumaier, A.A.      629 750 762 766 1449 1504—1506; A.E.”
Neumaier’s geometry      681
Neumann, B.H.      640; see “Higman G.”
Neumann, H.      640; see “Higman G.”
Neumann, P.M.      616 638 639 1483 2171
Neumann, P.M.A.      627; see “Cameron P.J.”
Neumann, P.M.B.      637; see “Melver A.”
Neumann-Lara, V.      147; see Lovasz L.
Neumann-Lara, Y.      256
Neumeier, A.      958
Newman, D.J.      21
Newman, M.      924 1751 1756
Newton series      1099
NEXT-FIT heuristic      1551
Nicholson, P.      2168 2169
Niederreiter, H.      1426; see “Kuipers L.”
Niemeyer, A.C.      1484; see “Celler F.”
Nijrlund, N.E.      1090 1092 1131
Nilli, A.      1344
Nilpotent groups      1478
NIM      2120 2133 2142
Nim-addition      2133 2138
Nim-multiplication      2144
Nim-sequence      2135
Nim-values      2133 2135
Nimber      2133
Nincak, J.      79
Nisan, K.      2005; see “Babai L.”
Nisan, N.      1744; see “Kahn J.D.”
Nishizeki, T.      275
Noda, R.      697; see “Enomoto H.”
Node      5 383 386
Node coloring      1635
Node cover      181 387
Node packing      181
Node-cover polytope      1666
Node-cover problem      1617
Non-Archimedean valuations      863
Non-bipartite maximum matching      1610
Non-deterministic communication complexity      2008
Non-deterministic polynomial-time      14
Non-deterministic protocols      2008
Non-deterministic Turing machine      1606—1608 1616 1622 1625
Non-evasive complex      1823 1853
Non-Fano mairoid      507
Non-linear iteration      1199
Non-linear recurrences      1139
Non-orientable surfaces      261
Non-Pappus matroid      504 508
Non-rcpresentable mairoid      504
Non-rigid molecular species      1965
Non-separable      10 584
Non-separable matroid      491
Non-separating      91
Non-separating circuit      58
Non-uniform      1604 1613
Nordhaus, E.A.      1238
Nordstrom — Robinson code      796
Norm      925 2041 2042
Norm $l_1$      2042
Norm $l_{\infty}$      2042
Norm Euclidean      2042
Norm polyhedral      2043
Normal distribution      1809 1814
Normal hypergraph      384 395 401
Normal play      2121 2149
Normal rational curve      661
Normal ultrafilter      2102
Normalized internal angle      946
Northcott, D.G.      1720 1732
Norton, S.P.      622; see “Conway J.H.”
Nowhere-zero flow      291 1940
Nowhere-zero H-flow      513
Nowhere-zero k-flow      291
Nowhere-zero n-flow      513
Nowitz, LA.      1500 1502
Nucleus      659
Null design      1721
NUMBER      2130
Number of permutations      2165
Number of subsets      2165 2166
Number of ways of choosing k objects      2167
Number theory      1751 1758 1774
Numbered complex      1858
Numerical analysis      958
Numerical graph invariants      1974
Nyikos, P.J.      1510; see “Kierstead H.A.”
O pposite regulus      670
O-sequence      896 898 902
Oberhettinger, F.      1192 1212
Oberly, D.J.      66
Oberschelp, W.      704 715
Objective function      1543 1579
octahedron      6 415
Octal games      2136
Oda, T.      958 1841
Odd circuit      14 17 36
Odd girth      2105
Odd set cover      182
Odd-cycle inequality      1568 1570 1571
Odd-cycle property      210
Odlyzko, A.      1145; see “Erdos P.”
Odlyzko, A.M.      955 1122 1157 1159 1160 1181 1203 1204
Odlyzko, A.M.A.      1773; see Alon N.
Odlyzko, A.M.B.      727 763 765; M.R.”
Odlyzko, A.M.C.      1206; see “Chung F.R.K.”
Odlyzko, A.M.D.      1135; see “Fishbura P.C.”
Odlyzko, A.M.E.      1146; see “Greenberg A.G.”
Odlyzko, A.M.F.      1098 1141 1164 1166—1168 1200—1203; P.”
Odlyzko, A.M.G.      1187 1188 1989; J.R.”
Odlyzko, A.M.H.      1103 1134 1194; L.J.”
Odlyzko, A.M.I.      1153; see “Knopftnachcr A.”
Odlyzko, A.M.J.      954; see “Ugarias J.C.”
Odlyzko, A.M.K.      1108; see “Mallows C.L.”
Odlyzko, A.M.L.      1122; see “Mazo J.E.”
Odlyzko, A.M.M.      1203; see “Wright R.A.”
Offord, A.C.      2187; see “Littlewood J.E.”
Ogasawara, M.      763
Ohmori, H.      716; see “Hamada N.”
Ohtsuki, T.      1921
Okamura, H.      163 164
Olaru, E.      269
Oleinik, O.A.      1761
Oligomorphic      640
Oliver, R.      1823
Ollman, L.T.      1273
Olson, J.E.      1410 1768 1770
Olver, F.W.J.      1092 1094 1095 1172 1212
On-line algorithm      441
On-line heuristic      1552
On-line partition      441
On-line problem      1544
Onaga, K.      160 2050
One-sided irregularities      1440
One-way functions      2027—2030 2032 2033
One-way infinite path      2089
Open cell      1860
Open interval      1843
Open walk      9
Oppenheim, R.      397; see “Fulkerson D.R.”
Optimal code      780
Optimal partial k-path coloring      50
Optimal partial k-path partition      50
Optimization problem      958 1602 1662
Optimum arborescence problem      1580
Oracle      556 1602 1620—1622 1625—1627
Oracle Turing machine      1621
Orbit-counting lemma      616 1462
Orbit-counting theorem      2171 2172
Orbitals      766
Orbits      1058
Orchard problem      823
Orchel, AW.      656
Ordaz, O.      42 45; 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      1S45 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 circuit      1835
Oriented graph      15
Oriented linear      1835
Oriented matroid      517 519 604 g87 888 1834 1835 2066
Oriented realizable      1835
Oriented stability number      45
Orlik — Solomon algebra      2068
Orlik, P.      1822 1857 2065 2068
Orlin, J.B.      114 125 128; R.K.”
Orlin, J.P      135
Ornstein, D.      1440; see “Fuerstcnberg H.”
Ornstein, D.A.      715; see “Hanani H.”
Orszag, S.A.      1210; see “Bender 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; see “Dean N.”
Ota, K.A.      1308 1313; P.”
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