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Combinatorics

Part of London Mathematical Society Lecture Note Series

N. Biggs, P. J. Cameron, D. V. Chopra, R. L. Constable, R. J. Cook, F. Escalante, S. Fiorini, R. J. Wilson, A. Gardiner, R. K. Guy, A. Hill, A. J. W. Hilton, D. A. Holton, R. P. Jones, A. D. Keedwell, E. K. Lloyd, L. Lovasz, M. D. Plummer, J. C. P. Miller, J. W. Moon, R. Nelson, J. Schonheim, J. Sheehan, D. H. Smith, H. N. V. Temperley, W. T. Tutte, J. H. van Lint, D. A. Waller, R. J. Wilson, D. R. Woodall
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  • Date Published: November 1974
  • availability: Available
  • format: Paperback
  • isbn: 9780521204545

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About the Authors
  • 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.

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    Product details

    • Date Published: November 1974
    • format: Paperback
    • isbn: 9780521204545
    • length: 212 pages
    • dimensions: 229 x 152 x 12 mm
    • weight: 0.32kg
    • availability: Available
  • Table of Contents

    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.

  • Editors

    T. P. McDonough

    V. C. Mavron

    Contributors

    N. Biggs, P. J. Cameron, D. V. Chopra, R. L. Constable, R. J. Cook, F. Escalante, S. Fiorini, R. J. Wilson, A. Gardiner, R. K. Guy, A. Hill, A. J. W. Hilton, D. A. Holton, R. P. Jones, A. D. Keedwell, E. K. Lloyd, L. Lovasz, M. D. Plummer, J. C. P. Miller, J. W. Moon, R. Nelson, J. Schonheim, J. Sheehan, D. H. Smith, H. N. V. Temperley, W. T. Tutte, J. H. van Lint, D. A. Waller, R. J. Wilson, D. R. Woodall

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