Handbook of Combinatorics

Part 1 Structures: graphs - basic graph theory - paths and circuits, J.A. Bondy, connectivity and network flows, A. Frank, matchings and extensions, W.R. Pulleyblank, colouring, stable sets and perfect graphs, B. Toft, embeddings and minors, C. Thomassen, random graphs, M. Karonski finite sets and relations - hypergraphs, P. Duchet, partially ordered sets, W.T. Trotter matroids - matroids - fundamental concepts, D.J.A. Welsh, matroid minors, P.D. Seymour, matroid optimization and algorithms, R.E. Bixby and W.H. Cunningham symmetric structures - permutation groups, P.J. Cameron, finite geometries, P.J. Cameron, block designs, A.E. Brouwer, association schemes, A.E. Brouwer and W. Haemers, codes, J.H. van Lint combinatorial structures in geometry and number theory - extremal problems in combinatorial geometry, P. Erdos and G. Purdy, convex polytopes and related complexes, V. Klee and P. Kleinschmidt, point lattices, J.C. Lagarias, combinatorial number theory, C. Pomerance and A. Sarkozy. Part 2 Aspects: algebraic enumeration, I.M. Gessel and R.P. Stanley asymptotic enumeration methods, A.M. Odlyzko extremal graph theory, B. Bollobas extremal set systems, P. Frankl Ramsey theory, J. Nesetril discrepancy theory, J. Beck and V.T. Sos automorphism groups, isomorphism, reconstruction, L. Babai optimization, M. Grotschel and L. Lovasz computational complexity, D.B. Shmoys and E. Tardos. Part 3 Methods: polyhedral combinatorics, A. Schrijver tools from linear algebra, C.D. Godsil tools from higher algebra, N. Alon probabilistic methods, J. Spencer topological methods, A. Bjorner. Part 4 Applications: combinatorics in operations research, A. Kolen and J.K. Lenstra combinatorics in electrical engineering and statics, A. Recski combinatorics in statistical mechanics, C.D. Godsil et al combinatorics in chemistry, D.H. Rouvray applications of combinatorics to molecular biology, M.S. Waterman combinatorics in computer science, L. Lovasz et al combinatorics in pure mathematics, L. Lovasz et al. Part 5 Horizons: infinite combinatorics, A. Hajnal combinatorial games, R.K. Guy the history of combinatorics, N.L. Biggs et al.