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Elementary strong maps and transversal geometries

Part II: Graphs, Matroids, Designs

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Part of the Lecture Notes in Mathematics book series (LNM,volume 411)

Keywords

  • Rank Function
  • Elementary Factorization
  • Partial Transversal
  • Defect Version
  • Transversal Geometry

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References

  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.

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  2. Terrence J. Brown, Transversal Theory and F-Products. Preprint, University of Missouri at Kansas City 64110.

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  3. Thomas H. Brylawski, The Tutte-Grothendieck Ring. Ph.D. dissertation, Dartmouth College, Hanover, N. H., 1970.

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  4. Henry H. Crapo, Single-Element Extensions of Matroids. J. Res. Nat. Bur. Standards Sect. B 69B (1965) 55–65.

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  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.

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  6. Jack Edmonds and D.R. Fulkerson, Transversals and Matroid Partition. J. Res. Nat. Bur. Standards Sect. B 69B (1965) 147–153.

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  7. D. A. Higgs, Strong Maps of Geometries. J. Comb. Th. 5 (1968) 185–191.

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  8. L. Mirsky, Transversal theory. Academic Press, New York, 1971 (Vol. 75 in Mathematics in Science and Engineering.)

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© 1974 Springer-Verlag

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Dowling, T.A., Kelly, D.G. (1974). Elementary strong maps and transversal geometries. In: Berge, C., Ray-Chaudhuri, D. (eds) Hypergraph Seminar. Lecture Notes in Mathematics, vol 411. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066193

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  • DOI: https://doi.org/10.1007/BFb0066193

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06846-4

  • Online ISBN: 978-3-540-37803-7

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