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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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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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