Frontispiece; List of contributors; Preface; 1. Generating expanders from two permutations M. Ajtai, J. Komols and E. Szemeredi; 2. Sum-free subsets N. Alon and D. J. Kleitman; 3. Is there a different proof of the Erdos-Rado theorem? J. E. Baumgartner; 4. Almost collinear triples among N points on the plane J. Beck; 5. Hamilton cycles in random graphs of minimal degree at least |k| B. Bollobas, T. I. Fenner and A. M. Frieze; 6. The circumference of a graph with a given minimal degree B. Bollobas and R. Haggkvist; 7. On arithmetic progressions in sums of sets of integers J. Bourgain; 8. Partitions sans petits sommants J. Dixmier and J. L. Nicolas; 9. A compact sequential space A. Dow; 10. The critical parameter for connectedness of some random graphs R. Durret and H. Kesten; 11. Multiplicative functions on arithmetic progressions: the large moduli P. D. T. A. Elliott; 12. Locally finite groups of permutations of N acting on loo M. Foreman; 13. Hypergraphs games and the chromatic number F. Galvin; 14. On arithmetic graphs associated with integral domains K. Gyory; 15. On the number of certain subgraphs of graphs without large cliques and independent subsets A. Hajnal, Z. Nagy and L. Soukup; 16. Sets of multiples and Behrend sequences R. R. Hall; 17. A functional equation arising from the mortality tables W. K. Hayman; 18. The differences between consecutives primes, IV R. Heath-Brown; 19. On the cofinality of countable products of cardinal numbers T. Jech; On a-centered posets I. Juhasz and K. Kunen; 20. A Galvin-Hajnal conjecture on uncountably chromatic graphs P. Komjath; 21. Necessary conditions for mean convergence of Hermite-Fejer interpolation A. Mate and P. Nevai; 22. Graphs with no unfriendly partitions E. C. Milner and S. Shelah; 23. On the Erdos-Fuchs theorem H. L. Montgomery and R. C. Vaughan; 24. A tournament which is not finitely representable Z. Nagy and Z. Szentmiklossy; 25. On the volume of spheres covered by a random walk P. Revesz; 26. Special Lucas sequences, including the Fibonacci sequence, modulo a prime A. Schinzel; 27. A remark on heights of subspaces W. Schmidt and S. Shelah; 28. On the greatest prime factor of an arithmetical progression T. N. Shorey and R. Tijdeman; 29. The probabilistic lens: Sperner, Turan and Bergman revisited J. Spencer; 30. On the mean convergence of derivatives of Lagrange interpolation J. Szabodos and A. K. Varma; 31. Sur une question d'Erdos et Schinzel G. Tenenbaum; 32. Some recent results on interpolation P. Vertesi; 33. Partitioning the quadruples of topological spaces W. Weiss; Selected problems.