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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.
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Rosette 855 859 Rota, G.-C.A. 498 514 522; H.H.” Rota, G.-C.B. 2175; see “Rung J.P.S.” Rota, G.C. 531 1055 1847 1851 2051 2171 Rotation scheme 320 Rota’s conjecture 1365 Roth, B. 1913 Roth, B.A. 1921; see “Asimow L.” Roth, K.F. 1407 1429 1438 Roth, K.F.A. 970 986 987 990 992; H.” Rothschild, B. 163 166 Rothschild, B.A 416; see “Hajnal A.” Rothschild, B.B. 168; see “Kiritman D.J.” Rothschild, B.L. 1374 1379; W.” Rothschild, B.L.A. 1251 1253 1371; R” Rothschild, B.L.B 72 662 848 999 1004 1006 1333 1338 1344 1359 1361 1364—1366 1370 1389 2093 2185.; R.L.” Rothschild, B.L.C. 1251; see “Kolaitis P.H.” Rottenberg, R. 818; see “Kelly L.M.” Rouche theorem 1158 Roudneff, J.-P. 821 822 910 Rouse Ball, W.W. 2176 Rousseau, C.C. 1347; see “Erdos P.” Rouvray, D.H. 1958 1960 1962 1965 1972—1977 Rouvray, D.H.A. 1958; see “Bonchev D.” Rouvray, D.H.B. 1975; see “Canfield E.R.” Rouvray, D.H.C. 1958 sec R.B.” Rouvray, D.H.D. 1972; see “Mallion R.B.” Rowbottom, F. 2102 2103 Roy, B. 48 Royle, G.F. 1111; see “Brenti F.” Rozenblit, A.B. 1960; see “Golender V.E.” Rubik’s cube 636 Rubin, A.L. 277; see “Erdos P.” Rubin, D.S. 881; see “Mattheiss T.H.” Ruch, E. 1960 1966 Rucinski, A. 362 367 Rucinski, A.A. 368; see “Barbour A.D.” Rucinski, A.B. 363; see “Janson S.” Rucinski, A.C. 366; see “Karonski M.” Rucinski, A.D. 375 376; T.” Rucinski, A.E. 376 1346 1374 1380; V.” Ruelle, D. 1932 Ruler Game 2143 Runyon numbers 1034 Rushbrooke, G.S. 1972; see “Coulson C.A.” Rushing, T.B. 1836 1843 Russakoff, A.; see Balinski, MX. 1666 1667 1669 Rusza, I.Z.; see Fretman, G.A. 986 Ruzsa, I-Z. 987 1325 1345 Ruzsa, I.Z.A. 1297; see “Frankl P.” Ruzzo, W.L. 1744; see “Chandra A.K.” Ryll-Nardzewski, C. 640 Ryscr, H.J.A. 672 698 2183; R.H.” Ryser, H.J. 240 391 697—699 712 Ryser, H.J.B. 2183; see “Chowla A.S.” Ryser, H.J.C. 698; see “Chowla S.” Ryser, H.J.D. 699; see “Hall Jr.M.” Ryshkov, S.S. 923 929 Ryzhik, I.M. 1075; see “Gradshteyn I.S.” s-arborescence 141 s-arc transitive graph 629 s-connected 423 S-cut 403 s-distance set 1718 S-join 403 S-trce 2090 s-triangle 273 Saaty, T.L. 236 237 923 958 Sabidussi, G. 1464 1465 1467 1498 Sachar, H.E. 716 Sachkov, V.N. 1210 1213 Sachs graph 1973 Sachs, H. 236 240 255 269 2167 Sachs, H.A. 1460 1461 1726 1727 1733; D.M.” Sachs, H.B. 1265; see “Erdos P.” Sachs, H.C. 250 251; H.-J.” Saddle point approximation 1175 Saddle point method 1094 1172 Saigal, R. 1670 Sailo, A. 75 Sailo, A.A. 153; see “Ando K.” Sailo, A.B. 75; see “Chen G.T.” Sailo, A.C. 75; see “Dean N.” Sailo, A.D. 52; see “Enoraoto H.” Sailo, K. 2070 2071 Saint-Donat, B. 951 958; G.F.” Sakarovitch, M. 399 400; A.J.” Saks, M. 438 454 Saks, M.A. 448 453 454 476 1285 1286 1823 1853; J.” Saks, M.B. 1590 2009 2011; L.” Saks, M.E. 1744; see “Kahn J.D.” Salem, R 1345 Salomaa, A. 1776 1777 Salvetli, M. 2069 2070 Salvy, B. 1098 1211; P.” Sanders, D.P. 238; see “Robertson N.” Sanders, J.H. 1368 Sands, B. 462; see “Duffus D.” Sandwich theorem 570 Sanger, E. 1997; see “Daniels D.” Sankoff, D. 1988; see “Kruskal J.B.” Sankoff, D.A. 1991; see “Zuker M.” Santalo, L.A. 858 926 958 Sarawagi, N. 1482 1517; G.” Sarkaria, K.S. 424 1827 1829 1843 1845 Sarkozy, A. 986 991 992 1424 Sarkozy, A.A. 990 991 997 1012; P.” Sarkozy, A.B. 985; see “Nathanson M.B.” Sarkozy, A.C. 994 997; C.” Sarnak, P. 1385 1482 1754 1756—1758; A.” Sasaki, G. 1559 Sasaki, G.H. 1559 Satisfiability problem 1615—1617 Saturated graph 263 Sauer, N. 1238 1276 1277 1279 Sauer, N.A. 1386; see “Rodl V.” Sauer-Shelah theorem 2043 2044 Savage, C. 462 Savelsbergh, M.W.P 1882 1885 Savelsbergh, M.W.P.A. 1883; see “Anthonisse J.M.” Savelsbergh, M.W.P.B. 1885; see “Dcsrochcrs M.” Savilch, W.J. 1622 Sawada, K. 730 Sawyer, D.B. 931 Sawyer, E.T. 814 1837; J.” Saxc, J.B. 1625 2013; M.” Saxl, J. 628 1452 1506; P.J.” Saxl, J.A. 619 626 766 1502 1505 2056; M.W.” Saxl, J.B. 629 1505; C.E.” SBIBD see “Symmetric design” Sbihi, N. 66 183 226 263 1694 Scaled body 924 Scaling 134 1582—1584 Schacher, M. 628; see “Fein B.” Schaffer, A. 1557 Schafler, A.A. 1466 1467; J.” Schechtman, G. 2045; see “Johnson V.B.” Schecuble, M. 239 Schedule 2188 Scheinerman, E. 467 Scheinerman, E.R. 313 Scheinerman, E.R.A. 466 1766; N.” Schelp, R.H. 1340 1346 1347; G.” Schelp, R.H.A. 1347; see “Erdos P.” Schelp, R.H.B. 78; see “Faudree R.J.” Schensted correspondence 635 1155 Schensted, C. 2175 Schevon, C. 1559 1950; D.S.” Schiermeyer, I. 53 Schlegel diagram 882—884 Schmeichel, E. 77 78; J.” Schmeichel, E.F. 53; see “Bauer D.” Schmeichel, E.F.A. 77; see “Entringer R.C.” Schmeichel, E.F.A.A. 79; see “Hakimi S.L.” Schmerl, J. 1508 Schmerl, J.A. 274; see “Kierstead H.A.” Schmidt, E.M. 2006; see “Mehlhorn K.” Schmidt, K. 1756 Schmidt, W. 1769; see “Baker R.C.” Schmidt, W.A. 932 937 958 Schmidt, W.M. 1429 1436 1439 1751 1758 1767 Schmutz, E. 1181 Schneider, I. 2167 Schneider, R. 947 Schneider, R.A. 952; see “McMullen C.” Schnell, U. 950 Schnireimann density 983 Schnirelmann theorem 982 984—986 Schnittger, G. 2007; see “Kalyanasundaram B.” Schnjver, A.A. 662 714 1771; A.E.” Schnjver, A.B. 1673 1692; W” Schnorr, C. 958; see “Hastad J.” Schnorr, C.P. 955 Schnorr, C.P.A. 928 941; J.C.” Schnyder, W. 468 472 Schoenfeld, L. 1092; see “Berndt B.C.” Schoenfeld, L.A. 1177 1180; B.” Schoenflies, A.M. 941 Schonheim, J. 714 Schonheim, J.; see Herzog, M. 423 Schonland, D.S. 1460 Schonsleben, P. 576 577 Schor, P. 474 475; G.W.” Schorl, R. 1210; see “Louchard G.” Schrader, R. 521 522 582 583 1546 1830; B.” Schrcier-Sims algorithm 637 Schreiber, S. 710 Schreter vector 636 Schrijver graph 240 Schrijver, A. 143 144 160 163 164 240 383 396 397 401—404 573 958 1209 1545 1654 1673 1686 1691 1825 1827 2186 2188 Schrijver, A.C. 1694; see “Gerards A.M.H.” Schrijver, A.D. 546; see “Gerards B.” Schrijver, A.E. 236 265 267 269 271 569 1545 1570 1592 1654 1662 1663 1689 1694 1695 1736 1920 2016 2042; M.” Schrijver, A.F. 1566; see “Hurkens C.A.J.” Schrijver, A.G. 1590 1593 1695 1713 1774 1775; L.” Schrijver, A.H. 164; see “van Hoesel C.” Schrodinger wave equation 1972 Schroeder, J. 1997; see “Daniels D.” Schubert variety 2041 Schulte, E. 898; see “Danzer L.” Schulte, E.A. 898; see “McMullen P.” Schulz, C. 885 Schulz, C.A. 879 893; G.” Schupp, P.E. 1494; see “Lyndon R.C.” Schur function 1057 Schur, I. 1337 1358 2185 Schur’s lemma 2185 Schutzenberger, M.P. 698 Schwartz, J.T 1589 Schwartzenberger, R.L.E. 923 Schweitzer, P.J.; see McCormick Jr, W.T. 1878 1879 Schwenk, A.J. 1461 1737 Schwenk, A.J.A. 1162; see “Harary F.” Sckanina, M. 53 Scott Jr, L.L. 753 758 Scott, D. 460 Scott, D.S. 2102 Scott, L.L. 617 619 Scott, L.L.A. 619; see “Aschbacher M.” Scott, P.R. 825 Scress, A. A. 1482—1486 1517 1518; L.” SDR see “System of distinct representatives” Seah, E. 712 Search problem 1602 Search tree 13 Seberry, J. 730 Seberry, J.A. 730; see “Geramita A.V.” Sebo, A. 124 164 217 Sebo, A.A. 167; see “Frank A.” Second-moment method 362 1794 1795 Secondary structure 1990 Secret-key crypto-systems 202S SECS 1969 Section of a hypergraph 386 Security parameter 2029 2031 Sedgewick, R. 1158 1192 1194; P.” Sedgewick, R.A. 2008; see “Lipton R.J.” See, M. 658; see “Lunelli L.” Seese, D.O. 343 Segment of a walk 9 Segre theorem 658 Segre, B. 657 658 Seidel, J.J. 750 753 754 757 Seidel, J.J.A. 1775; see “Blokhuis A.” Seidel, J.J.B. 701 767 768 1507 1734; P.J.” Seidel, J.J.C. 753 1715 1716 1718; Ph.” Seidel, J.J.D. 701 730 753; J.-M.” Seidel, J.J.E. 704; see “Hurkens C.A.J.” Seidel, J.J.F. 839; see “Larman D.G.” Seidel, J.J.G. 958; see “Neumeier A.” Seidel, J.J.H. 753; see “van Lint J.H.” Seidel, R. 881 Seidel, R.A. 881; see “Kirkpatrick D.G.” Seidenberg, A. 2185 Seitz, G.M. 626 Seitz, G.M.A. 628 1452 1506; P.J.” Seitz, G.M.B. 625; see “Curtis C.W.” Seitz, G.M.C. 676; see “Fong P.” Sel of extremal graphs of order n 1248 Selberg-type integrals 1155 Selberg’s sieve 981 Selection theorems 855 Selectivity 1367 Self-avoiding polygons 1940 Self-avoiding walk 1939 Self-converse 1453 Self-dual 777 Self-dual code 717 Self-orthogonal 777 Selfridge, J.L. 419; see “Erdos P.” Selfridge, J.L.A. 1011; see “Guy R.K.” Selfridge, X.L. 1012; see “Pomerance C.” Selkow, S.M. 276; see “Christen C.A.” Sellers, P.H. 1966—1968 SEMA 1970 Semakov, N.V. 802 Semi-direct product 618 Semi-strong perfect graph theorem 269 Semiaffine 1453 Semibiplanc 683 Semidefinite optimization 1590 Semigroup 1451 1519 Semilinear transformation 655 Semiminimal Cayley graph 1474 Semimodular lattice 497 1857 Semiorder 460 463 Senior, J.K. 2172 2177; A.C.” Seow, C.S. 402; see “Berge C.” Separable 10 777 Separable design 712 Separating cocircuit 587 Separating hypergraph 387 393 Separation algorithm 1570 Separation heuristic 1570 Separation problem 1569 1570 1662 Sequence alignments 1986 Sequences with forbidden subblocks 1133 1158 Sequences with forbidden subwords 1102 Sequential coloring 244 Seress, A. 698
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