Vue d'ensemble sur la théorie des matroïdes
Mémoires de la Société Mathématique de France, no. 17 (1969) , 48 p. 
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     title = {Vue d'ensemble sur la th\'eorie des matro{\"\i}des},
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     publisher = {Soci\'et\'e math\'ematique de France},
     number = {17},
     year = {1969},
     doi = {10.24033/msmf.17},
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     url = {http://archive.numdam.org/item/MSMF_1969__17__3_0/}
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Bruter, C. P. Vue d'ensemble sur la théorie des matroïdes. Mémoires de la Société Mathématique de France, no. 17 (1969), 48 p. doi : 10.24033/msmf.17. http://numdam.org/item/MSMF_1969__17__3_0/

(1) G. Birkhoff : Abstract linear dependence and abstract lattices. Am. J. Math 57 (1935) 800-804. | Zbl | JFM

(2) N. Bourbaki : Algèbre - chapitre 1 - Hermann Paris (1966)

(3) N. Bourbaki : Algèbre - Chapitre 5 - Hermann Paris (1966)

(4) R. Brualdi et E. Scrimger : Exchange systems, Matchings, and Transversals. J. of Comb. Theory 5 (1968) (244-257). | Zbl | MR

(5) C. Bruter : L'axiomatique linéaire et ses développements : Introduction à la théorie des matroides. Dunod, à paraître.

(6) P. Camion : Modules unimodulaires. J. of Comb. Theory 4 (1968) 301-362. | Zbl | MR

(7) G. Choquet : L'analyse et BOURBAKI. Enseign. Math. 8 (1962) 109-135. | Zbl

(8) H. Crapo : Single element extension of matroids. J. Res. Natl. Bur. Standards. 69B (1965) 57-65. | Zbl | MR

(9) J. Dieudonne : Algèbre linéaire et géométrie élémentaire. Hermann Paris (1964). | Zbl | MR

(10) J. Edmonds : Minimum partition of a matroid into independent sets. J. Res. Natl. Bur. Standards. 69B (1965) 67-72. | Zbl | MR

(11) J. Edmonds et D. Fulkerson : Transversal and matroid partition. J. Res. Natl. Bur. Standards 69B (1965) 147-153. | Zbl | MR

(12) D. Fulkerson : Networks, frames, blocking systems. Rand Report RM 5365 Mai 1967.

(13) A. Ghouilla-Houri : Flots et tensions dans un graphe. Ann. Ec. Norm. Sup. 81 (1964) 267-339. | Zbl | MR | Numdam

(14) T. Gallai : Uber regulären Kettengruppen. Act. Math. Ac. Sc. Hungar. 10 (1959) 227-240. | Zbl | MR

(15) R. Graver : Lectures on the theory of matroids (1967).

(16) A. Ingleton : A Note on independence functions and rank. T. Lond. Math. Soc. 31 (1959) 49-56. | Zbl | MR

(17) T. Lazarson : The representation problem for independence function. T. Lond Math. Soc. 33 (1958) 21-25. | Zbl | MR

(18) A. Lehman : A solution of the Shannon switching problem. J. Soc. Ind. Appl. Math. 12 (1964) 687-725. | Zbl | MR

(19) S. Mac Lane : Some interpretation of abstract linear independence in terms of projective geometry. Am. J. Math. 58 (1936) 236-240. | Zbl | JFM

(20) G. Minty : On the axiomatic foundations of the theories of direct linear graphs, electrical network and network programming. J. Math. Mech. 15 (1966) 485-520. | Zbl | MR

(21) L. Mirsky et H. Perfect : Applications of the notion of independence to problem of combinatorial analysis. J. of Comb. Theory 2 (1967) 327-357. | Zbl | MR

(22) Nash-Williams : An Application of matroids to graph theory. Journée Inter. d'Etude sur la Théorie des Graphes Rome (1966) 263-265. | Zbl

(23) H. Perfect et J. Pym : An extension of Banach's mapping theorem, with applications to problems concerning common representatives. Proc. Cambridge - Phil. Soc. 62 (1966) 187-192. | Zbl | MR

(24) R. Rado : A theorem on independence relations. Quart. J. of Math. (Oxford) 13 (1942) 83-89. | Zbl | MR

(25) R. Rado : A note on independence function. Proc. Lond. Math. Soc. 7 (1957) 300-320. | Zbl | MR

(26) P. Robert : Sur l'axiomatique des systèmes générateurs, des rangs... Mémoire 14, Bull. Soc. Math. France (1968) | Zbl | Numdam

(27) P. Samuel et O. Zariski : Commutative Algebra. Van Nostrand (1958). | Zbl | MR

(28) S. Smale : Differentiable Dynamical Systems. Bull. Am. Math. Soc. 73 (1967) 747-817. | Zbl | MR

(29) R. Thom : Stabilité structurelle et morphogénèse : Essai d'une théorie Générale des modèles. Ediscience Paris et Benjamin New-York (1969).

(30) A. Tucker : Pivotal Algebra - Seminar Notes. Princeton University (1964-1965).

(31) W. Tutte : A Class of Abelian Groups. Am. J. Math. 8 (1956) 13-28. | Zbl | MR

(32) W. Tutte : Lectures on Matroids. J. Res. Natl. Bur. Standards 69B (1965) 1-47. | Zbl | MR

(33) W. Tutte : Menger's theorem for matroids. J. Res. Natl. Bur. Standards 69B (1965) 49-53. | Zbl | MR

(34) W. Tutte : On even matroids. J. Res. Natl. Bur. Standards 71B (1967) 213-214. | Zbl | MR

(35) W. Tutte : An algorithm for determining whether a given binary matroid is graphic. Proc. Am. Math. Soc. 11 (1960) 905-917. | Zbl | MR

(36) D. Welsh : Some applications of a theorem of Rado. Mathematika 15 (1968) 199-203. | Zbl | MR

(37) H. Whitney : On the abstract properties of linear independence. Am. J. Math. (1935) 509-533. | Zbl | JFM

(38) H. Perfect : Independence spaces and combinatorial problems. Proc. London Math. Soc. 19 (1969), 17-30. | Zbl | MR

(39) J. Pym : The linking of sets in graphs. J. London Math. Soc. 44 (1969) 542-550. | Zbl | MR

(40) D. Welsh : A bound for the number of matroids. J. of Comb. Theory 6 (1969), 313-316. | Zbl | MR

(41) D. Welsh : Euler and bipartite matroids. J. of Comb. Theory 6 (1969), 375-377. | Zbl | MR

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