Combinatorics : the proceedings of the British Combinatorical Conference held in the University College of Wales, Aberystwyth, 2-6 July 1973

書誌事項

Combinatorics : the proceedings of the British Combinatorical Conference held in the University College of Wales, Aberystwyth, 2-6 July 1973

edited by T.P. McDonough & V.C. Mavron ; [contributors] N. Biggs ... [et al.]

(London Mathematical Society lecture note series, 13)

Cambridge University Press, 1974

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注記

Includes bibliographical references

内容説明・目次

内容説明

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.

目次

  • 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.

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