Anthony Hilton is Professorial Research Fellow in the School of Mathematics at Queen Mary University of London and an Emeritus Professor in the Department of Mathematics at the University of Reading. John Talbot is a Lecturer and Royal Society University Research Fellow in the Department of Mathematics at University College London.

'The frequent citations of the past volumes shows that these papers are very good references of contemporary research. The quality of contributors and the discussed topics ensure that the present volume will continue this tradition.' Acta Scientiarum Mathematicarum

• Preface; 1. Hereditary and monotone properties of combinatorial structures B. Bollobas; 2. Ordering classes of matrices of 0's and 1's R. A. Brualdi; 3. Cycle decompositions of complete graphs D. Bryant; 4. Excluding induced subgraphs M. Chudnovsky and P. Seymour; 5. Designs and topology M. J. Grannell and T. S. Griggs; 6. The number of points on an algebraic curve over a finite field J. W. P. Hirschfeld, G. Korchmaros and F. Torres; 7. On the efficient approximability of constraint satisfaction problems J. Hastad; 8. The combinatorics of cryptographic key establishment K. M. Martin; 9. Bandwidth of graphic matroids F. Mazoit and S. Thomasse.

Anthony Hilton is Professorial Research Fellow in the School of Mathematics at Queen Mary University of London and an Emeritus Professor in the Department of Mathematics at the University of Reading. John Talbot is a Lecturer and Royal Society University Research Fellow in the Department of Mathematics at University College London.

'The frequent citations of the past volumes shows that these papers are very good references of contemporary research. The quality of contributors and the discussed topics ensure that the present volume will continue this tradition.' Acta Scientiarum Mathematicarum

• Preface; 1. Hereditary and monotone properties of combinatorial structures B. Bollobas; 2. Ordering classes of matrices of 0's and 1's R. A. Brualdi; 3. Cycle decompositions of complete graphs D. Bryant; 4. Excluding induced subgraphs M. Chudnovsky and P. Seymour; 5. Designs and topology M. J. Grannell and T. S. Griggs; 6. The number of points on an algebraic curve over a finite field J. W. P. Hirschfeld, G. Korchmaros and F. Torres; 7. On the efficient approximability of constraint satisfaction problems J. Hastad; 8. The combinatorics of cryptographic key establishment K. M. Martin; 9. Bandwidth of graphic matroids F. Mazoit and S. Thomasse.

Anthony Hilton is Professorial Research Fellow in the School of Mathematics at Queen Mary University of London and an Emeritus Professor in the Department of Mathematics at the University of Reading. John Talbot is a Lecturer and Royal Society University Research Fellow in the Department of Mathematics at University College London.

'The frequent citations of the past volumes shows that these papers are very good references of contemporary research. The quality of contributors and the discussed topics ensure that the present volume will continue this tradition.' Acta Scientiarum Mathematicarum

• Preface; 1. Hereditary and monotone properties of combinatorial structures B. Bollobas; 2. Ordering classes of matrices of 0's and 1's R. A. Brualdi; 3. Cycle decompositions of complete graphs D. Bryant; 4. Excluding induced subgraphs M. Chudnovsky and P. Seymour; 5. Designs and topology M. J. Grannell and T. S. Griggs; 6. The number of points on an algebraic curve over a finite field J. W. P. Hirschfeld, G. Korchmaros and F. Torres; 7. On the efficient approximability of constraint satisfaction problems J. Hastad; 8. The combinatorics of cryptographic key establishment K. M. Martin; 9. Bandwidth of graphic matroids F. Mazoit and S. Thomasse.