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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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: Handbook of combinatorics (vol. 1)

: Graham R.L., Grotschel M., Lovasz L.

:

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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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 14681473 1475 1477 14801482 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.      14151417; 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 Drinfeld 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 331333 335 515 532 538 540
Wagners equivalence theorem      238 258 332
Wagon, S.      811 890; V.
Wainer, S.A.      1354
Waiting times      1112
Wakabayashi, Y; see Grotschel, M.      1573 1696 18921894
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.      19691971; see Ash J.E.
Warings 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.
Watsons lemma      1095
Wayland, K.      87; see Reid K.B.
Weak k-linkage      35
Weakly $\mathscr F$-saturated      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 15031507
Welch, L.R.      729; see Gordon B.
Weldon, E.J.      806; see Peterson W.W.
Welford, S.M.      19691971; 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
Welters 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.      19691971; 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 707709 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.
Winklers 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 7274 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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