| |
Table of contents for this issue | Previous article
Bryant, V. W.; Dawson, J. E.; Perfect, Hazel
Hereditary circuit spaces. Compositio Mathematica, 37 no. 3 (1978), p. 339-351
Full text djvu | pdf | Reviews MR 511749 | Zbl 0399.05016
stable URL: http://www.numdam.org/item?id=CM_1978__37_3_339_0
[1] G. Birkhoff: Combinatorial relations in projective geometries. Ann. Math., 36 (1935) 743-748. MR 1503250 | Zbl 0012.08205 | JFM 61.0593.01
[2] G. Birkhoff: Lattice Theory (3rd Ed.). American Mathematical Society Colloquium Publications, 1967. MR 227053 | Zbl 0505.06001
[3] V.W. Bryant and J.E. Dawson: Designs and circuit bases. Archiv der Math. (to appear). MR 505592 | Zbl 0373.05022
[4] V.W. Bryant and H. Perfect: Some characterization theorems for circuit spaces associated with graphs. Discrete Math; 18 (1977) 109-124. MR 465943 | Zbl 0355.05016
[5] H.H. Crapo and G.-C. Rota: Combinatorial Geometries. M.I.T. Press, 1970. MR 290980 | Zbl 0231.05024
[6] J.E. Dawson: Balanced sets and circuits in a transversal space. J. Comb. Theory Ser. B; 23 (1977) 14-23. MR 453569 | Zbl 0369.05018
[7] H. Hadwiger, H.E. Debrunner and V. Klee: Combinatorial Geometry in the Plane. Holt, Rinehart and Winston, 1964. MR 164279
[8] A.W. Ingleton and M.J. Piff: Gammoids and transversal matroids. J. Comb, Theory, 15 (1973) 51-68. MR 329936 | Zbl 0264.05021
[9] F. Maeda and S. Maeda: Theory of Symmetric Lattices. Springer-Verlag, 1970. MR 282889 | Zbl 0219.06002
[10] L. Mirsky: Transversal Theory. Academic Press, 1971. MR 282853 | Zbl 0282.05001
[11] Th. Motzkin: The lines and planes connecting the points of a finite set. Trans. Amer. Math. Soc., 70 (1951) 451-464. MR 41447 | Zbl 0043.14603
[12] U.S.R. Murty: Sylvester matroids. Recent progress in Combinatorics, Wiley, 1969, 283-286. MR 255432 | Zbl 0196.02701
[13] U.S.R. Murty: Matroids with Sylvester property. Aequat. Math., 4 (1970) 44-50. MR 265186 | Zbl 0216.30203
[14] H. Perfect: Notes on circuit spaces: J. Math. Anal. & Applic., 54 (1976) 530-537. MR 427111 | Zbl 0335.05032
[15] M.J. Piff and D.J.A. Welsh: On the vector representation of matroids. J. London Math. Soc., (2)2 (1970) 284-288. MR 258662 | Zbl 0213.29102
[16] D.E. Rutherford: Introduction to Lattice Theory, Oliver and Boyd. 1965. MR 176942 | Zbl 0127.24904
[17] P. Vámos: On the representation of independence structures. (Unpublished).
[18] P. Vámos: The importance of finiteness of Sylvester matroids. (Not yet published).
[19] D.J.A. Welsh: Matroid Theory. Academic Press, 1976. MR 427112 | Zbl 0343.05002 |
|
Copyright Cellule MathDoc 2013 | Credit | Site Map
|
