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Elementary strong maps and transversal geometries

  • T. A. Dowling
  • D. G. Kelly
Part II: Graphs, Matroids, Designs
Part of the Lecture Notes in Mathematics book series (LNM, volume 411)

Keywords

Rank Function Elementary Factorization Partial Transversal Defect Version Transversal Geometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    J. A. Bondy and D. J. A. Welsh, Some Results on Transversal Matroids and Constructions for Identically Self-Dual Matroids. Quart. J. Math. Oxford (2), 22 (1971), 435–451.MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    Terrence J. Brown, Transversal Theory and F-Products. Preprint, University of Missouri at Kansas City 64110.Google Scholar
  3. 3.
    Thomas H. Brylawski, The Tutte-Grothendieck Ring. Ph.D. dissertation, Dartmouth College, Hanover, N. H., 1970.zbMATHGoogle Scholar
  4. 4.
    Henry H. Crapo, Single-Element Extensions of Matroids. J. Res. Nat. Bur. Standards Sect. B 69B (1965) 55–65.MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    Henry H. Crapo and Gian-Carlo Rota, On the Foundations of Combinatorial Theory: Combinatorial Geometries (preliminary edition), M.I.T. Press, Cambridge, Mass., 1970.zbMATHGoogle Scholar
  6. 6.
    Jack Edmonds and D.R. Fulkerson, Transversals and Matroid Partition. J. Res. Nat. Bur. Standards Sect. B 69B (1965) 147–153.MathSciNetCrossRefzbMATHGoogle Scholar
  7. 7.
    D. A. Higgs, Strong Maps of Geometries. J. Comb. Th. 5 (1968) 185–191.MathSciNetCrossRefzbMATHGoogle Scholar
  8. 8.
    L. Mirsky, Transversal theory. Academic Press, New York, 1971 (Vol. 75 in Mathematics in Science and Engineering.)zbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • T. A. Dowling
    • 1
  • D. G. Kelly
    • 2
  1. 1.The Ohio State UniversityUSA
  2. 2.University of North Carolina at Chapel HillUSA

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