Stabilizers of Classes of Representable Matroids

Journal of Combinatorial Theory. Series B

Volumn 77, Issue 1, 1999, Pages 39-72

  Whittle, Geoff ^a  

^a VICTORIA UNIVERSITY OF WELLINGTON   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008388595     PISSN: 00958956     EISSN: None     Source Type: Journal    
DOI: 10.1006/jctb.1999.1908     Document Type: Article

References (22)

1. Akkari S., Oxley J. G. Some local extremal connectivity results for matroids. Combin. Probab. Comput. 2:1993;367-384.
2. Bixby R. E. On Reid's characterization of the ternary matroids. J. Combin. Theory Ser. B. 26:1979;174-204.
3. Bixby R. E. A simple theorem on 3-connectivity. Linear Algebra Appl. 45:1982;123-126.
4. Brylawski T. H., Lucas D. Uniquely representable combinatorial geometries. Theorie Combinatorie, Proc. 1973 Internat. Colloq. 1976;Accademia Nazionale dei Lincei, Rome. p. 83-104.
5. J. F. Geelen, A. M. H. Gerards, and, A. Kapoor, An excluded minor characterization of GF(4)-representable matroids, preprint.
6. Gerards A. M. H. A short proof of Tutte's characterization of totally unimodular matrices. Linear Algebra Appl. 114/115:1989;207-212.
7. Kahn J. A geometric approach to forbidden minors for GF(3). J. Combin. Theory Ser. A. 37:1984;1-12.
8. Kahn J. On the uniqueness of matroid representation over GF(4). Bull. London Math. Soc. 20:1988;5-10.
9. Kahn J., Seymour P. D. On forbidden minors for GF(3). Proc. Amer. Math. Soc. 102:1988;437-440.
10. Oxley J. G. Matroid Theory. 1992;Oxford Univ. Press, New York.
11. J. G. Oxley, D. L. Vertigan, and, G. P. Whittle, On inequivalent representations of matroids over finite fields, J. Combin. Theory Ser. B, in press.
12. Semple C. A., Whittle G. P. Partial fields and matroid representation. Adv. Appl. Math. 17:1996;184-208.
13. 3, 5-minors. Contemp. Math. 197:1996;377-386.
14. Seymour P. D. A note on the production of matroid minors. J. Combin. Theory Ser. B. 22:1977;289-295.
15. Seymour P. D. Matroid representation over GF(3). J. Combin. Theory Ser. B. 26:1979;159-173.
16. Seymour P. D. Decomposition of regular matroids. J. Combin. Theory Ser. B. 28:1980;305-359.
17. Seymour P. D. Minors of 3-connected matroids. European J. Combin. 6:1985;375-382.
18. Tutte W. T. A homotopy theorem for matroids, I, II. Trans. Amer. Math. Soc. 88:1958;144-174.
19. Tutte W. T. Connectivity in matroids. Canad. J. Math. 18:1996;1301-1324.
20. Whittle G. P. A characterization of the matroids representable over GF(3) and the rationals. J. Combin. Theory Ser. B. 65:1995;222-261.
21. Whittle G. P. Inequivalent representations of ternary matroids. Discrete Math. 149:1996;233-238.
22. Whittle G. P. On matroids representable over GF(3) and other fields. Trans. Amer. Math. Soc. 349:1997;579-603.