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Seymour, P. D.

Matroid representation over GF(3). (English) Zbl 0443.05029

J. Comb. Theory, Ser. B 26, 159-173 (1979).
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scan of Zbl 0443.05029

Cited in 3 Reviews
Cited in 50 Documents

MSC:

05B35 Combinatorial aspects of matroids and geometric lattices

Keywords:

representability; connectivity of matroids; regular matroids; binary matroids

Citations:

Zbl 0405.05022
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Full Text: DOI

References:

[1] Bixby, R. E., \(l\)-matrices and a characterization of binary matroids, Discrete Math., 8, 139-145 (1974) · Zbl 0279.05027
[2] Bixby, R. E., On Reid’s characterization of the matroids, J. Combinatorial Theory Ser. B, 26, 174-204 (1979) · Zbl 0405.05022
[3] Harary, F.; Welsh, D. J.A, Matroids versus Graphs, (Lecture Notes in Mathematics, Vol. 110 (1969), Springer: Springer Berlin), 155-170 · Zbl 0205.28401
[4] Ingleton, A. W., Representation of matroids, (Combinatorial Mathematics and Its Applications (1971), Academic Press: Academic Press New York), 149-167 · Zbl 0222.05025
[5] Lehman, A., A solution of the Shannon switching game, J. SIAM, 12, 687-725 (1964) · Zbl 0137.38704
[6] Seymour, P. D., The forbidden minors of binary clutters, J. London Math. Soc., 12, 2, 356-360 (1976) · Zbl 0351.05023
[7] Tutte, W. T., A homotopy theorem for matroids, I, II, Trans. Amer. Math. Soc., 88, 144-174 (1958) · Zbl 0081.17301
[8] Tutte, W. T., Connectivity in matroids, Canad. J. Math., 18, 1301-1324 (1966) · Zbl 0149.21501
[9] Tutte, W. T., Introduction to the Theory of Matroids (1966), RAND Corp. Report R-448-PR · Zbl 0149.21501
[10] Tutte, W. T., Lectures on matroids, J. Res. Nat. Bur. Standards Sect. B, 69, 1-47 (1965) · Zbl 0151.33801
[11] Welsh, D. J.A, (Matroid Theory (1976), Academic Press: Academic Press London) · Zbl 0343.05002
[12] Whitney, H., On the abstract properties of linear dependence, Amer. J. Math., 57, 509-533 (1935) · JFM 61.0073.03
[13] Brylawski, T. H.; Lucas, T. D., Uniquely representable combinatorial geometries, (Proc. Internat. Colloq. Combinatorial Theory. Proc. Internat. Colloq. Combinatorial Theory, Rome, Italy (1975)), 83-104 · Zbl 0392.51007
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