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Classic Papers in Combinatorics

  • Ira Gessel
  • Gian-Carlo Rota

Part of the Modern Birkhäuser Classics book series (MBC)

Table of contents

  1. Front Matter
    Pages I-X
  2. F. P. Ramsey
    Pages 1-24
  3. Hassler Whitney
    Pages 25-48
  4. P. Erdös, G. Szckeres
    Pages 49-56
  5. P. Hall†
    Pages 58-62
  6. R. L. Brooks, C. A. B. Smith, A. H. Stone, W. T. Tutte
    Pages 88-116
  7. R. L. Brooks
    Pages 118-121
  8. Irving Kaplansky
    Pages 122-123
  9. W. T. Tutte
    Pages 124-138
  10. Paul R. Halmos, Herbert E. Vaughan
    Pages 146-147
  11. T. van Aardenne-Ehrenfest, N.G. de Bruijn
    Pages 149-163
  12. W. T. Tutte
    Pages 164-178
  13. P. Erdös, R. Rado
    Pages 179-241
  14. L. R. Ford Jr., D. R. Fulkerson
    Pages 243-248
  15. G. Polya
    Pages 249-257
  16. David Gale
    Pages 259-268
  17. P. Erdös
    Pages 276-280
  18. P. W. Kasteleyn
    Pages 281-298
  19. M. P. Schützenberger
    Pages 313-318
  20. A. W. Hales, R.I. Jewett
    Pages 320-327
  21. C. ST. J. A. Nash-Williams
    Pages 329-331
  22. Gian-Carlo Rota
    Pages 332-360
  23. Jack Edmonds
    Pages 361-379
  24. G. Katona
    Pages 381-401
  25. D. Lubell
    Pages 402-402
  26. Henry H. Crapo
    Pages 403-415
  27. G. F. Clements, B. Lindström
    Pages 416-424
  28. I. J. Good
    Pages 425-425
  29. R. L. Graham, K. Leeb, B. L. Rothschild
    Pages 431-445
  30. L LovÁsz
    Pages 447-450
  31. Richard P. Stanley
    Pages 453-460
  32. Ladnor Geissinger
    Pages 462-471
  33. Ladnor Geissinger
    Pages 473-481
  34. Ladnor Geissinger
    Pages 483-489

About this book

Introduction

This volume surveys the development of combinatorics since 1930 by presenting in chronological order the fundamental results of the subject proved in over five decades of original papers by:.-T. van Aardenne-Ehrenfest.-R.L. Brooks.-N.G. de Bruijn.-G.F. Clements.-H.H. Crapo.-R.P. Dilworth.-J. Edmonds.-P.Erdös.-L.R. Ford, Jr.-D.R. Fulkerson.-D. Gale.-L. Geissinger.-I.J. Good.-R.L. Graham.-A.W. Hales.-P. Hall.-P.R. Halmos.-R.I. Jewett.-I. Kaplansky.-P.W. Kasteleyn.-G. Katona.-D.J. Kleitman.-K. Leeb.-B. Lindström.-L. Lovász.-D. Lubell.-C. St. J.A. Nash-Williams.-G. Pólya.-F.P. Ramsey.-G.C. Rota.-B.L. Rothschild.-H.J. Ryser.-C. Schensted.-M.P. Schützenberger.-R.P. Stanley.-G. Szekeres.-W.T. Tutte.-H.E. Vaughan.-H. Whitney.

Keywords

Acyclic orientations of graphs Combinatorial theorem of Macaulay Combinatorics Graph Theory and Probability Möbius Functions Möbius inversion in lattices Non-separable and planar graphs Partition Calculus Positional games Set Theory Sperner's lemma Subsets decomposition theorem lemma of Littlewood and Oxford partially ordered sets

Editors and affiliations

  • Ira Gessel
    • 1
  • Gian-Carlo Rota
    • 2
  1. 1.Department of MathematicsBrandeis UniversityWalthamUSA
  2. 2.Department of MathematicsMassachusetts Institute of Technology (MIT)CambridgeUSA

Bibliographic information