The British Combinatorial Conference is one of the most well-known meetings for combinatorialists. This volume collects the invited talks from the 1999 conference held at the University of Kent, and together these span a broad range of combinatorial topics. The nine talks are from: S. Ball, J. Dinitz, M. Dyer, K. Metsch, J. Pach, R. Thomas, C. Thomassen, N. Wormald, plus a special contribution from W. T. Tutte. All researchers into combinatorics will find that this volume is an outstanding and up-to-date resource.