Combinatorics

This volume is a record of the papers presented to the fourth British Combinatorial Conference held in Aberystwyth in July 1973.

Preface; 1. Perfect codes and distance-transitive graphs N. Biggs; 2. Generalisation of Fisher's inequality to fields with more than one element P. J. Cameron; 3. On balanced arrays D. V. Chopra; 4. Positions in Room squares R. L. Constable; 5. Analogues of Heawood's theorem R. J. Cook; 6. Cut-set lattices of graphs F. Escalante; 7. On the chromatic index of a graph, II. S. Fiorini and R. J. Wilson; 8. On a theorem of R. A. Liebler A. Gardiner; 9. Outerthickness and outercoarseness of graphs R. K. Guy; 10. Graphs with homeomorphically irreducible spanning trees A. Hill; 11. A note on embedding latin rectangles A. J. W. Hilton; 12. Some results in semi-stable graphs D. A. Holton; 13. Hereditary properties and P-chromatic numbers R. P. Jones; 14. Some problems concerning complete latin squares A. D. Keedwell; 15. Necklace enumeration with adjacency restrictions E. K. Lloyd; 16. On a family of planar bicritical graphs L. Lovasz and M. D. Plummer; 17. On the enumeration of partially ordered sets of integers J. C. P. Miller; 18. The distance between nodes in recursive trees J. W. Moon; 19. Partition relations R. Nelson; 20. On a problem of Daykin concerning inter secting families of sets J. Schonheim; 21. Unstable trees J. Sheehan; 22. Distance-transitive graphs D. H. Smith; 23. Enumeration of graphs on a large periodic lattice H. N. V. Temperley; 24. Some polynomials associated with graphs W. T. Tutte; 25. Equidistant point sets J. H. van Lint; 26. Figenvalues of graphs and operations D. A. Waller; 27. Graph theory and algebraic topology R. J. Wilson; 28. Applications of polymatroids and linear programming to transversals and graphs D. R. Woodall; Problem section.