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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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Group compact topological 2051 Group Coxcter 677 2061 Group crystallographic 1488 Group cyclic 1451 Group dihedral 1451 Group discrete 921 Group doubly transitive 1451 1504 1507 2053 Group doubly transitive permutation 2057 Group end of 1480 Group exceptional 620 Group free 1479 1494 1495 Group fundamental 1495 1846 2069 Group Galois 954 Group general linear 655 Group genus of 1493 Group graph of 1495 Group homology 1846 Group isometry 1458 Group Jordan 625 626 640 Group Lie 922 1479 Group Mathieu 622 625 716 2183 Group monster 922 Group multiple transitive 623 625 Group nilpotenl-by-fimte 1478 Group nilpotent 1478 Group of Lie type 619 621 Group of permutations 2169 Group orthogonal 620 1460 Group permutation 614 1516 1963 2053 2054 Group polyhedral 1459 Group primitive 616 1502 1515 2054 Group primitive permutation 2053 2056 Group projective special linear 620 Group rank of permutation 626 Group reduced simplicial homology 1846 Group reduction functions 2172 Group reflection 1473 Group regular 615 Group representation theory 2174 Group representations 1755 1756 Group representations of symmetric 1057 Group rotation 1458 Group semiaflme 1453 1454 Group simple 2056 2057 Group solvable 1453 Group space 922 941 943 Group sporadic 622 Group symmetric 1451 1473 2053 Group symmetry point 1965 Group symplectic 620 Group transitive 614 1482 Group twisted 620 Group uniprimitive 2054 Group uniprimitive permutation 2053 Group unitary 620 Group vertex-stabilizer 1452 Group-divisible design 705 Grove, L.C. 1734 Growth exponential 1478 Growth polynomial 1478 Growth rate 1477 GRR (graphical regular representation) 1476 1477 1500 Gruber, P. 923; see “Erdos P.” Gruber, P.M. 811 923 929 930 933 934 Grundy number 276 Grundy, P.M. 2133 2136 2137 2150 Grundy’s Game 2136 2150 2158 Guan Meigu (Kwan Mei-Ku) 1888 2187 Guess tape 1606 Guibas, L. 865; see “Aronov B.” Guibas, L.A. 823 825 1299; K.” Guibas, L.B. 827; see “Edelsbrunner H.” Guibas, L.J. 1103 1134 1194 Guigas, B. 311; see “Mani-Levitska P.” Guinness, S.Mc. 1484; see “Markvorsen S.” Gupta, R.P. 273 1668 Gupta, U.I. 1903 Gustavsson, T. 88 Gustin, W. 325 Gutin, G. 69 Gutjahr, W.J. 1191 Gutman, I. 1974 Gutman, I.A. 1973 1974; D.M.” Gutman, I.B. 1731; see “Godsil C.D.” Gutman, I.C. 1973; see “Graovac A.” Guy, M.J.T. 845; see “Conway J.H.” Guy, R. 838; see “Erdos P.” Guy, R.K. 305 314 315 970 1006 1011 1013 2119 2135 2147 Guy, R.K.A. 2119; see “Berlekamp E.R.” Guy, R.K.B. 314; see “Erdos P.” Gy6ri, E. 400 Gyarfas conjecture 1280 Gyarfas — Komlos — Szemeredi theorem 1266 Gyarfas, A. 77 236 415 417 1266 1267 1280 1313 Gyarfas-Promel-Szemeredi-Voigt theorem 1267 Gydri, E. 865; see “Alon N.” Gyori, E. 1238 Gyory, E. 158 1830 Gyory, K. 991 H ypercycle 387 395 420 H-admissible 1178 H-admissible function 1179 h-vector 898—900 1841 Haar measure 2041 2051 Hadamard code 795 803 Hadamard matrix 729 2183 Hadamard product 1110 Hadlock, F.O. 218 Hadwiger number 1493 1494 Hadwiger theorem 857 Hadwiger, H. 238 811 842 848 855—857 859 950 951 2179 Hadwiger, H.A. 950; see “Bokowski J.” Hadwiger, H.B.; see “Debrunner, H.” 855 856 Hadwiger-Nelson problem 238 841 Hadwigert conjecture 238 257 258 262 332 2179 Haemers, W.H. 675 699 701 704 731 750 761 764 765 1734 1737 Haemers, W.H.A. 700 731; H.J.” Hagauer, J. 1465; see “Aurenhammer F.” Hagerup, T. 128; see “Cheriyan J.” Haggard, G. 92 Haggkvist, R. 37 46 53 61 63 67 69 73 76 77 82 87 158 426 1259—1261 1263 Haggkvist, R.A. 1262; see “Bollobas B.” Haggkvist, R.B. 89; see “Bondy J.A.” Haggkvist, R.C. 64; see “Caccetta L.” Haggkvist, R.D. 713; see “Daykin D.E.” Haggkvist, R.E. 91; see “Grossman J.W.” Hahn. G. 49 Hahn. S. 1208; see “Flatto. L.” Hajek, B. 1559; see “Sasaki G.H.” Hajnal — Szegedy theorem 1282 Hajnal — Szemeredi theorem 248 1280 Hajnal, A. 248 263 264 266 416 1280 1464 1713 2005 2011 2105 2106 Hajnal, A.A. 82 1280; K.” Hajnal, A.B. 48 77 240 241 250 256 264 424 1268 1274 1336 1346 1351 1357 1375 1383 1385 1389 2092 2093 2097 2102 2104 2106; P.” Hajnal, A.C. 2113; see “Galvin F.” Hajnal, P 1282 Hajnal, P.A. 459 465; Z. Hajos constructible graph 252 Hajos construction 252 Hajos theorem 252 Hajos, G. 252 934 Haken, A. 1555 Haken, W; see Appel, K. 56 236—238 2179 Hakimi, S.L. 79 Hakimi, S.L.A. 53; see Bauer D. Halasz, G. 1430 1438—1441 Halberstam, F.Y. 86; see “Bondy J.A.” Halberstam, H. 970 979 981 986 987 990 992 Halberstam, H.A. 986; see “Freiman G.A.” Hales — Jewett theorem 1005 1338 1363 Hales — Jewett theorem density 1366 Hales, A.W. 863 1338 Hales, T. 936 Hall Jr, M. 654 699 702 704 730 731 804 Hall Jr, M.A. 715 804; W.G.” Hall theorem 1052 1053 2185 Hall triple system 654 Hall, D.W. 538 Hall, J.I. 654 Hall, L.H. 1975—1977; see “Kier L.B.” Hall, M. 2183 2185 Hall, P. 185 617 2185 Hall, R.-R. 992 Hall’s condition 185 Hall’s marriage theorem 438 Halm, R. 153 156 258 1480 Halmos, P. 2051 Halmos, P.R. 2185 Halstenberg, B. 2010 Halting problem 1605 Halving lines 865 Ham sandwich theorem 1828 1865 Hamada conjecture 674 Hamada, N. 674 716 Hamada, N.A. 763; see “Yamamoto S.” Hamermesh, M. 1460 Hamidoune, Y. 313; see “Duchet P.” Hamidoune, Y.O. 157 563 1469 1470 Hamilton cycle 462 1256 1275 1472 1473 1738 Hamilton decomposition 86 Hamilton l-foctorable 80 Hamilton path 20 1472 Hamilton-connected 26 Hamiltonian 1927 1928 1948 Hamiltonian circuit 20 1548 1601 1602 1607 1610 1614 1617 1634 1635 2028 2034 2035 Hamiltonian graph 20 2176 Hamiltonian path 1790 Hamiltonicity 365 Hamiltonicity obstacles 1472 Hammer, J. 923 Hammer, J.A. 923; see “Erdos P.” Hammer, P.L. 1696 Hammer, P.L.A. 267; see “Foldes S.” Hammersley, J.M. 1934 1937 1940 Hammersley, J.M.A. 1932; see “Broadbent S.R.” Hamming bound 781 Hamming code 667 777 778 783 788 792 2047 Hamming cone 2048 Hamming cube 1802 1806 Hamming distance 1802 Hamming graph 1463 Hamming metric 2048 2049 Hamming scheme 762 Hamming, R.W. 805 Hammond operator 2174 Hammond, J. 2174 Hammons Jr, A.R. 797 Hammons Jr, A.R.A. 797; see “Calderbank A.R.” Hanani, H. 697 703—705 707—711 714 715 Hanani, H.A. 714; see “Brouwcr A.E.” Hanani, H.B. 1796; “see Erdos P.” Handelman, D.E. 958 Handelsman, R.A. 1094 1212; N.” Hanf, W.P. 2100 Hanlon, P.J. 1187 1188 1989; J.R.” Hanner, O. 2129 Hansen, E.R. 1075 Hansen, J. 1167 Hansen, R 423 Hansen, S. 814 815 Hanson, D. 252 Hanson, D.A. 1270; see “Duffiis D.A.” Hanssens, G. 682 Hara, T. 1940 Harary, F. 65 276 304 1060 1162 1195 1213 1497 Harary, F.A. 316 321; J.” Harary, F.B. 316; see “Beineke L.W.” Harary, F.C. 1475; see “Blass A.” Harary, F.D. 308 537; G.” Harary, F.E. 1347; see “Chvatal V.” Harary, F.F. 842 844; P.” Harborth, H. 820 821 837 839 843 847 848 862 1336 Hard hexagon 1941 Hard Lefschetz theorem 1839 Hardy — Ramanujan Tauberian theorem 1124 Hardy, G.H. 1125 1152 2174 Harmonic function 1744 Harper, L.H. 1111 1297 Harper, L.H.A. 2051; see “Rota G.-C.” Harrington, L. 626 640 1510; G.L.” Harrington, L.A. 1377; see “Abramson F.G.” Harrington, L.B. 1353; see “Paris J.” Harris, A.J. 277; see “Bollobas B.” Harris, B. 1177 1180 Harris, T.E. 1935 Hartman, A. 712 714 Hartman, A.A. 704; see “Hanani H.” Hartman, I.B.A. 10 Hartman, I.B.A.A. 50; see “Aharoni R.” Hartmanis, J. 1628 Hartmann, M. 957; see “Cook W.” Hartshorne, R. 1839 Hartvigsen, D. 220; see “Cornuejols G.” Harzheim, E. 474 Hasse diagram 312 436 Hasse — Minkowski theory 2183 Hasselbarth, W. 1965 Hasselbarth, W.A. 1960; see “Ruch E.” Hassin, R. 573 576 Hastad, J. 958 1803 2013 Hat-check girl problem 1790 Hattori, A. 2070 Hauptsatz (of Polya) 1962 Hausler, D. 1299; see “Blumer A.” Hausmann, D. 1678 Hausmann, D.A. 582 1547; B.” Haussler, D. 1577 Havel, X. 579; see “Dress A.” Haviland, J. 377 Hayashi, E.K. 990 Hayden, J.L. 715 804; W.G.” Hayman, W.K. 1177—1179 Hayman-admissible 1177 Hayward, R. 269 Hcdayal, A. 1710; see “Foody W.” Hctyci, G. 195 197 Head of a digraph 15 Head of a walk 16 Heap 2020 Heath-Brown, D.R. 1011 Heawood conjecture 323 Heawood graph 19 63 64 1452 Heawood number 261 Heawood theorem 260 Heawood, P.J. 237 260 261 Heawood’s formula 260 261 Hecke, E. 1438 Hedayat, A. 730 Hedetniemi, S. 276; see “Chartrand G.” Hedetniemi, S.A. 276; see “Harary F.” Hedlund, G.A. 714; see “Fort Jr. Hedrlin, Z. 1461 1499 1511 1514 Hedrlin, Z.A. 1461; see “Vopenka P.” Heesch, H. 238 Heffter, L. 261 320 Hegyvari, N. 1013; see “Erdos P.” Height function 497 Heights of binary trees 1199 Heilbronn’s problem 861 Heilmann, C.J. 1941
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