Combinatorics

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

T. P. McDonough (Edited by), V. C. Mavron (Edited by)

9780521204545, Cambridge University Press

Paperback, published 21 November 1974

212 pages
22.9 x 15.2 x 1.2 cm, 0.32 kg

This volume is a record of the papers presented to the fourth British Combinatorial Conference held in Aberystwyth in July 1973. Contributors from all over the world took part and the result is a very useful and up-to-date account of what is happening in the field of combinatorics. A section of problems illustrates some of the topics in need of further investigation.

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.

Subject Areas: Mathematical foundations [PBC]