Advertisement

The Dilworth Theorems

Selected Papers of Robert P. Dilworth

  • Kenneth P. Bogart
  • Ralph Freese
  • Joseph P. S. Kung

Part of the Contemporary Mathematicians book series (CM)

Table of contents

  1. Front Matter
    Pages i-xxvi
  2. Chain Partitions in Ordered Sets

    1. Front Matter
      Pages 1-6
    2. Reprinted Papers

    3. Articles

  3. Complementation

    1. Front Matter
      Pages 39-40
    2. Reprinted Papers

      1. R. P. Dilworth
        Pages 41-72
      2. R. P. Dilworth
        Pages 73-78
    3. Articles

      1. M. E. Adams
        Pages 79-84
      2. Gudrun Kalmbach
        Pages 85-87
  4. Decomposition Theory

    1. Front Matter
      Pages 89-92
    2. Reprinted Papers

      1. R. P. Dilworth
        Pages 101-114
      2. R. P. Dilworth
        Pages 115-143
      3. R. P. Dilworth, Peter Crawley
        Pages 145-166
      4. R. P. Dilworth
        Pages 167-171
      5. R. P. Dilworth
        Pages 173-186
    3. Articles

  5. Modular and Distributive Lattices

    1. Front Matter
      Pages 205-209
    2. Reprinted Papers

      1. M. Hall, R. P. Dilworth
        Pages 211-217
      2. R. P. Dilworth, J. E. McLaughlin
        Pages 225-235
      3. R. P. Dilworth
        Pages 237-250
    3. Articles

  6. Geometric and Semimodular Lattices

    1. Front Matter
      Pages 265-267
    2. Reprinted Papers

      1. R. P. Dilworth
        Pages 269-281
      2. R. P. Dilworth, Curtis Greene
        Pages 283-286
    3. Articles

  7. Multiplicative Lattices

    1. Front Matter
      Pages 305-307
    2. Reprinted Papers

      1. R. P. Dilworth
        Pages 309-315
      2. Morgan Ward, R. P. Dilworth
        Pages 317-336
      3. R. P. Dilworth
        Pages 337-355
      4. R. P. Dilworth
        Pages 357-367
      5. R. P. Dilworth
        Pages 369-386
    3. Articles

  8. Miscellaneous Papers

    1. Front Matter
      Pages 403-405
    2. Reprinted Papers

      1. A. M. Gleason, R. P. Dilworth
        Pages 431-432
      2. R. P. Dilworth, Ralph Freese
        Pages 433-437

About this book

Keywords

combinatorial optimization Combinatorics Lattice Partition

Editors and affiliations

  • Kenneth P. Bogart
    • 1
  • Ralph Freese
    • 2
  • Joseph P. S. Kung
    • 3
  1. 1.Department of Mathematics and Computer ScienceDartmouth CollegeHanoverUSA
  2. 2.Department of MathematicsUniversity of HawaiiHonoluluUSA
  3. 3.Department of MathematicsUniversity of North TexasDentonUSA

Bibliographic information