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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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Vertex-critical graphs 268 Vertex-decomposable complex 1854 Vertex-primitive 1452 1453 1460 1470 1476 1505 Vertex-transitive 1460 1479 Vertex-transitive graph 64 1452 1453 1464 1468—1473 1475 1477 1480—1482 1487 1488 1491 1493 1494 1500 1504 Vertigan, D.L. 516; see “Jaeger F.” Very pure free monoid 1031 Very strong perfect graph 269 Vesziergombi, K. 836 Vesztergombi, K. 1415—1417; see “Lovasz L.” Vesztergombi, K.A. 837 840; P.” Via minimization 1568 Vidyasankar, K. 144 Vilfan, B. 1351 Vince, A. 1857 Vince, A.A. 362; see “Rucinski A.” Vincensini, P. 851 856 Vine 37 Vine lemma 37 Vingron, M. 1990 Virasoro, M.A. 1947; see “Mezard M.” Vishkin, U. 128; see “Shiloach Y.” Vitter, J. 1071 Vizing theorem 271 272 274 375 Vizing, V.G. 271 272 276 277 2179 Vizing, VG.A. 249; see “Melnikov L.S.” Vladut, S.G. 667; see “Drinfel’d V.G.” Vladut, S.O. 667; see “Manin Y.A.” Vogt, E. 1487 1488 1491; H.” Voigt, B. 1360 1363 Voigt, B.A. 1361 1366 1379; W.” Voigt, B.B. 77 1267; A.” Voigt, B.C. 375 376; T.” Voigt, B.D. 1333 1367 1368 1381 1389 1393; H.J.” Voigt, B.F. 2188 Volodin, I.A. 888 Voltage sources 1913 Volume 925 Vomienko, N.M. 2054; see “Zemlyachenko V.N.” von Neumann, J. 187 2133 2189 von Staudt, K.G.C. 2181 von zur Gathen, J. 952 Voorhoeve, M. 715; see “Brouwer A.E.” Vopenka, P. 1461 Voronoi region 945 Voronoi, G. 945 Voss, H.J. 5 39 58 61 255 Voss, H.J.A. 5; see “Walther H.” Vrecica, S.T. 1850; see “Bjomer A.” Vrecica, S.T.A. 1829 1845 1865; R.T.” Vuillemin, J. 1194; see “Flajolet P.” Vuillemin, J.A. 1285; see “Rivest R.L.” Vuskovic, K. 397; see “Conforti M.” Wachs, M. 1854 1855 2061; A. Wachs, M.L. 1857 Wagner, A. 653; see “Dembowski P.” Wagner, A.A. 632 1468; D.” Wagner, A.B. 654; see “Ostrom T.G.” Wagner, D.G. 1111; see “Brenti F.” Wagner, D.K. 594; see “Bixby R.E.” Wagner, G. 1441 Wagner, G.A. 1440; see “Tijdeman R.” Wagner, K. 238 258 304 305 312 331—333 335 515 532 538 540 Wagner’s equivalence theorem 238 258 332 Wagon, S. 811 890; V.” Wainer, S.A. 1354 Waiting times 1112 Wakabayashi, Y; see Grotschel, M. 1573 1696 1892—1894 Wales, D; see Hall Jr. M. 731 Walk 114 1725 Walk generating function 1726 Walker, J.W. 1826 1827 1845 1848 1849 1858 1864 Walker, J.W.A. 1848 1852; A.” Walker, J.W.B.; see Wachs, M.L. 1857 Walker, K. 1349 Walker, M. 676 Walker, R; see Hall Jr, M. 704 Walks in the plane 1028 Walkup, D.W. 908 1656; V.” Walkup, D.W.A. 908; see “Mani P.” Walkup, D.W.B. 899; see “McMullen P. Wall, C.E. 63; see “Behzad M.” Wallis, J.S. 730 Wallis, J.S.A. 712 730 752; W.D.” Wallis, W.D. 712 730 752 Wallis, W.D.A. 730; see “Hedayat A.” Walthcr, H.A. 61 66; R.” Walther, H. 5 Wang, C.S. 334 342 2178; H.H.” Wang, S.M.P. 705 Wang, T. 1970 Wang, Y. 958; see “Hua L.K.” Ward, S.E. 1969—1971; see “Ash J.E.” Waring’s problem 982 1185 Warmuth, M.K. 1299; see “Blumer A.” Warren theorem 466 Warren, H.E. 466 1761 1763 Wasow, W. 1137 1212 Watanabe, H. 1921; see “Ohtsuki T.” Watanabe, T. 150 Waterman, M.S. 1985 1988 1990 1991 1994 1995 Waterman, M.S.A. 1103 1134; R.” Waterman, M.S.B. 1996 1997; L.” Waterman, M.S.C. 1187 1188 1989; J.R.” Waterman, M.S.D. 1992; see “Howell J.A.” Waterman, M.S.E. 1992; see “Stein P.R.” Watkins, M. 1470; see “Babai L.” Watkins, M.E. 36 1469 1500 1502 Watkins, M.E.A. 158; see “Mesncr D.M.” Watson’s lemma 1095 Wayland, K. 87; see “Reid K.B.” Weak k-linkage 35 Weakly 1273 Weakly compact cardinals 2100 Weakly Hamilton-connected digraph 68 Weakly reconstructible 1456 Weakly saturated graphs 1273 Webb, P.J. 1822 1857 Wedderburn theorem 649 652 Wedderburn, J 2181.H.M.; see “Veblen O.” wedge 1845 Wedge of spheres 2069 Wegner, G. 896 Weierstrass elliptic function 823 Weight 14 388 389 398 775 Weight enumerator 667 779 Weight enumerator of a code 717 Weight splitting 564 Weighted bipartite matching algorithm 1581 Weighted matching 201 Weighted matroid intersection 564 Weil, A. 1758 1850 Weinberg, L. 563; see “Bruno J.” Weingram, S. 1848 1859 1861; A.T.” Weinstein, J. 250 Weirman, J. 467; see “Scheinerman E.” Weisfeilcr, R. 1513 Weisfeiler — Lehman procedure 1513 Weismantel, R. 1571 1573; M.” Weisner theorem 1054 Weiss, A. 1754 Weiss, B. 1340 1369; H.” Weiss, R. 676 Weiss, R.M. 629 1503—1507 Welch, L.R. 729; see “Gordon B.” Weldon, E.J. 806; see “Peterson W.W.” Welford, S.M. 1969—1971; see “Ash J.E.” Welker, V. 1857 Well-founded membership oracle 955 957 Well-ordered 2109 Well-quasi-ordering 334 Welsh, D.J.A. 20 276 485 491 501 502 505 508 522 830 832 1932 1951 2178 Welsh, D.J.A.A. 520 580 581; F.D.J.” Welsh, D.J.A.B. 1937; see “Hammersley J.M.” Welsh, D.J.A.C. 516; see “Jaeger F.” Welsh, D.J.A.D. 1285; see “Milner E.C.” Welsh, D.J.A.E. 516 1931; J.G.” Welter function 2139 Welter, C.P. 2139 Welter’s Game 2139 2144 2150 Welzl, E. 823 825 1299; K.” Welzl, E.A. 1577; see “Haussler D.” Wenger, R. 76 857 Wenger, R.A. 865; see “Aronov B.” Wenger, R.B. 858; see “Pollack R.” Wessel, W. 264 268 1270 Wessel, W.A. 343; see Seese D.G. West, D. 476; see “Alon N.” West, D.A. 474 475; G.W.” West, D.B. 435 West, D.B.A. 1828 1829; N.” West, D.B.B. 313; see “Scheintrraan E.R.” Wetzel, J.E.A.; see Alexanderson, G.L. 831 Wetzel, J.E.B.; see Purdy, G. 821 Wetzel, J.E.C.; see Simmons, G.J. 820 Weug, C; see Haemcrs, W.H. 704 764 Weyl, H. 1426 1427 1655 Wheel 152 539 Whinston, A.; see Kleitman, DJ. 168 Whinston, A.A.; see Rothschild, B. 163 166 Whirl 539 540 White, A.T. 305 314 316 323 325 326 342 1473 1493 2169 White, A.T.A. 18 64; N.L.” White, A.T.B. 1493; see “Jungeraian M.” White, A.T.C. 251 276; DR.” White, D. 1023 1048 1053; D.” White, L.J. 215 White, N.A. 523 White, N.B. 520 603; A.” White, N.C. 2059 2063; B.” White, N.L. 523 White, R.L.; see Botstein, D. 1993 White, T.W. 1878 1879; Jr.W.T.” White. N.L.A. 1835 1837 1861 2066; A.” Whiteley, W.; see Crapo, H.H. 1913 Whiteman, A.L. 730 Whitney number 511 Whitney of the first kind 831 Whitney, H. 113 147 247 256 259 308 310 483 594 1455 1459 2178 Whittington, S.G. 1939 Whittle, G.P. 517 Whitty, R.H. 143 Wiclandt, H. 614 639 766 1468 1502 2053 Widom, H. 1157; see “Odlyzko A.M.” Wiener index 1975 Wierman, J.C. 1936 Wierman, J.C.A.; see Luczak, T. 360 Wierman, J.C.B.; see Smythe, R.T. 1938 Wigderson, A. 246 Wigderson, A.A. 1511 1515 2035; O.” Wigderson, A.B. 2017; see “Karchmer M.” Wigderson, A.C. 1557 1590; N.” Wigner, E. 1459 1460 Wigner, E.P. 1460 Wilbrink, H. 659; see “Blokhuis A.” Wilbrink, H.A. 99 Wilbrink, H.A.A. 731; see “Brouwer A.E.” Wild, P.R. 683 Wilf — Zeilberger method 1075 Wilf, H.S. 1071 1075 1098 1100 1126 1165 1182 1213 1712 2011 Wilf, H.S.A.; see Odlyzko, A.M. 1157 1159 1160 Wilf, H.S.B.; see Szekeres, G. 251 Wilker, J.B. 668 Wilkie, H.C. 1488 Wilkins, C.L. 1971 1977; M.” Wilks, A.R. 1473; see “Conway J.A.” Wille, L.T. 788 Willem, R. 1966; see “Brocas J.” Willet, P. 1969—1971; see “Ash J.E.” Williams, H.P. 2188 Williamson, D.P. 1592; see “Goemans M.X.” Williamson, S.G. 1071 1191; E.A.” Wills, J.M. 950 951 Wills, J.M.A. 952; see “Betke U.” Wills, J.M.B. 950; see “Bokowski J.” Wills, J.M.C. 923 951; P.” Wills, J.M.D. 811; see “Gruber P.M.” Wilson, P.R. 813 Wilson, R.A. 622; see “Conway J.H.” Wilson, R.J. 247 259; N.” Wilson, R.J.A. 56 189 2175; N.L.” Wilson, R.J.B. 236 272; S.” Wilson, R.J.C. 236; see “Nelson R.” Wilson, R.J.D. 2167; see “Sachs H.” Wilson, R.J.E. 238; see “Woodall D.R.” Wilson, R.M. 377 700 703 705 707—709 839 1296 1457 1711 1717 2183 Wilson, R.M.A. 376 1351; F.R.K.” Wilson, R.M.B. 511 831 1713; T.A.” Wilson, R.M.C. 710; see “Doyen J.” Wilson, R.M.D. 842 1308 1351 1522 1719 1761; P.” Wilson, R.M.E. 711; see “Hanani H.” Wilson, R.M.F. 696 711 1351 1716 1719 2183; D.K.” Wilson, R.M.G. 789; see “van Lint J.H.” Wilson, R.M.H. 705; see “Wang S.M.P.” Wimp, J. 1131 1137 1138 1212 Win, S. 27 43 53 Wine, D. 65 1473 Winkler, P. 448 463 Winkler, P.A. 1305; see “Bang C.” Winkler, P.B. 1743; see “Brightwell G.” Winkler, P.C. 1377 1442; V.” Winkler, P.D. 462; see “Savage C.” Winkler, P.E. 475; see “Trotter W.T.” Winkler, P.M. 1464; see “Graham R.L.” Winkler, P.W. 455; see “Brightwell G.” Winkler’s conjecture 1238 Winning strategy 2121 2123 2124 2150 Winograd, S. 1345 1589; D.” Winston, K.J. 1254; see “Kleitman D.J.” Wirsing theorem 1008 Wirsing, E. 998 1008 Wiseman, J.A. 813; see “Wilson P.R.” Witt designs 716 Witt, E. 703 704 716 2184 Witte, D.A. 1473; see “Keating K.” Witzgall, C. 1668; see “Klee V.” Witzgall, C.A. 1654; see “Stoer J.” WKB method 1210 Woan, W.-J. 1184 1211; S.” Woeginger, G. 1578; see “Komlos J.” Woess, W. 1497; see “Mohar B.” Woess, W.A. 1484; see “Thomassen C.” Wojtas, M. 705 Woldar, A. 1506; see “Hemmctcr J.” Wolf, J.A. 1478 Wolf, T.R. 1516 Wolkowitz, H. 1592 Wolsey, L.A.A. 183 1545; G.L.” Wolsey, LA. 1695 1696 Wondratschek, H. 943; see “Brown H.” Wong, J.K. 1458 1511; J.E.” Wong, P.K. 63 Wong, R. 1172 1212 Wong, W.J. 1472 Wonnald, N.C.B. 1188 1189 1462; B.D.” Wonnald, N.C.C. 60; see “Richmond L.B.” Woodall, D.R. 23 27 37 72—74 76 83 86 94 238 315 418 698 1263 2186 Woodrow, R. 462; see “Dufltis D.” Woodrow, R.E. 1507 Woodrow, R.E.A. 1381 1508; A.H.”
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