Vue d'ensemble sur la théorie des matroïdes

C. P. Bruter

Mémoires de la Société Mathématique de France (1969)

  • Volume: 17, page 3-48
  • ISSN: 0249-633X

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Bruter, C. P.. "Vue d'ensemble sur la théorie des matroïdes." Mémoires de la Société Mathématique de France 17 (1969): 3-48. <http://eudml.org/doc/94555>.

@article{Bruter1969,
author = {Bruter, C. P.},
journal = {Mémoires de la Société Mathématique de France},
keywords = {combinatorics},
language = {fre},
pages = {3-48},
publisher = {Société mathématique de France},
title = {Vue d'ensemble sur la théorie des matroïdes},
url = {http://eudml.org/doc/94555},
volume = {17},
year = {1969},
}

TY - JOUR
AU - Bruter, C. P.
TI - Vue d'ensemble sur la théorie des matroïdes
JO - Mémoires de la Société Mathématique de France
PY - 1969
PB - Société mathématique de France
VL - 17
SP - 3
EP - 48
LA - fre
KW - combinatorics
UR - http://eudml.org/doc/94555
ER -

References

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  1. (1) G. BIRKHOFF : Abstract linear dependence and abstract lattices. Am. J. Math 57 (1935) 800-804. Zbl0013.00104JFM61.1027.01
  2. (2) N. BOURBAKI : Algèbre - chapitre 1 - Hermann Paris (1966) 
  3. (3) N. BOURBAKI : Algèbre - Chapitre 5 - Hermann Paris (1966) 
  4. (4) R. BRUALDI et E. SCRIMGER : Exchange systems, Matchings, and Transversals. J. of Comb. Theory 5 (1968) (244-257). Zbl0174.29402MR38 #55
  5. (5) C. BRUTER : L'axiomatique linéaire et ses développements : Introduction à la théorie des matroides. Dunod, à paraître. 
  6. (6) P. CAMION : Modules unimodulaires. J. of Comb. Theory 4 (1968) 301-362. Zbl0174.29504MR48 #5918
  7. (7) G. CHOQUET : L'analyse et BOURBAKI. Enseign. Math. 8 (1962) 109-135. Zbl0138.24203
  8. (8) H. CRAPO : Single element extension of matroids. J. Res. Natl. Bur. Standards. 69B (1965) 57-65. Zbl0141.21701MR32 #7461
  9. (9) J. DIEUDONNE : Algèbre linéaire et géométrie élémentaire. Hermann Paris (1964). Zbl0185.48802MR30 #2015
  10. (10) J. EDMONDS : Minimum partition of a matroid into independent sets. J. Res. Natl. Bur. Standards. 69B (1965) 67-72. Zbl0192.09101MR32 #7441
  11. (11) J. EDMONDS et D. FULKERSON : Transversal and matroid partition. J. Res. Natl. Bur. Standards 69B (1965) 147-153. Zbl0141.21801MR32 #5531
  12. (12) D. FULKERSON : Networks, frames, blocking systems. Rand Report RM 5365 Mai 1967. 
  13. (13) A. GHOUILLA-HOURI : Flots et tensions dans un graphe. Ann. Ec. Norm. Sup. 81 (1964) 267-339. Zbl0178.57603MR32 #58
  14. (14) T. GALLAI : Uber regulären Kettengruppen. Act. Math. Ac. Sc. Hungar. 10 (1959) 227-240. Zbl0119.38902MR23 #A1553
  15. (15) R. GRAVER : Lectures on the theory of matroids (1967). 
  16. (16) A. INGLETON : A Note on independence functions and rank. T. Lond. Math. Soc. 31 (1959) 49-56. Zbl0089.01802MR21 #655
  17. (17) T. LAZARSON : The representation problem for independence function. T. Lond Math. Soc. 33 (1958) 21-25. Zbl0083.00403MR20 #5156
  18. (18) A. LEHMAN : A solution of the Shannon switching problem. J. Soc. Ind. Appl. Math. 12 (1964) 687-725. Zbl0137.38704MR30 #3463
  19. (19) S. MAC LANE : Some interpretation of abstract linear independence in terms of projective geometry. Am. J. Math. 58 (1936) 236-240. Zbl0013.19503JFM62.0649.02
  20. (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. Zbl0141.21601MR32 #5543
  21. (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. Zbl0153.02201MR37 #1268
  22. (22) NASH-WILLIAMS : An Application of matroids to graph theory. Journée Inter. d'Etude sur la Théorie des Graphes Rome (1966) 263-265. Zbl0188.55903
  23. (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. Zbl0166.26201MR33 #2553
  24. (24) R. RADO : A theorem on independence relations. Quart. J. of Math. (Oxford) 13 (1942) 83-89. Zbl0063.06369MR4,269c
  25. (25) R. RADO : A note on independence function. Proc. Lond. Math. Soc. 7 (1957) 300-320. Zbl0083.02302MR19,522b
  26. (26) P. ROBERT : Sur l'axiomatique des systèmes générateurs, des rangs... Mémoire 14, Bull. Soc. Math. France (1968) Zbl0237.08008
  27. (27) P. SAMUEL et O. ZARISKI : Commutative Algebra. Van Nostrand (1958). Zbl0081.26501MR19,833e
  28. (28) S. SMALE : Differentiable Dynamical Systems. Bull. Am. Math. Soc. 73 (1967) 747-817. Zbl0202.55202MR37 #3598
  29. (29) R. THOM : Stabilité structurelle et morphogénèse : Essai d'une théorie Générale des modèles. Ediscience Paris et Benjamin New-York (1969). Zbl0365.92001
  30. (30) A. TUCKER : Pivotal Algebra - Seminar Notes. Princeton University (1964-1965). 
  31. (31) W. TUTTE : A Class of Abelian Groups. Am. J. Math. 8 (1956) 13-28. Zbl0070.02302MR17,708a
  32. (32) W. TUTTE : Lectures on Matroids. J. Res. Natl. Bur. Standards 69B (1965) 1-47. Zbl0151.33801MR31 #4023
  33. (33) W. TUTTE : Menger's theorem for matroids. J. Res. Natl. Bur. Standards 69B (1965) 49-53. Zbl0151.33802MR31 #3359
  34. (34) W. TUTTE : On even matroids. J. Res. Natl. Bur. Standards 71B (1967) 213-214. Zbl0165.26801MR37 #2622
  35. (35) W. TUTTE : An algorithm for determining whether a given binary matroid is graphic. Proc. Am. Math. Soc. 11 (1960) 905-917. Zbl0097.38905MR22 #7956
  36. (36) D. WELSH : Some applications of a theorem of Rado. Mathematika 15 (1968) 199-203. Zbl0176.28303MR39 #77
  37. (37) H. WHITNEY : On the abstract properties of linear independence. Am. J. Math. (1935) 509-533. Zbl0012.00404JFM61.0073.03
  38. (38) H. PERFECT : Independence spaces and combinatorial problems. Proc. London Math. Soc. 19 (1969), 17-30. Zbl0176.28302MR39 #2649
  39. (39) J. PYM : The linking of sets in graphs. J. London Math. Soc. 44 (1969) 542-550. Zbl0167.52204MR38 #3172
  40. (40) D. WELSH : A bound for the number of matroids. J. of Comb. Theory 6 (1969), 313-316. Zbl0167.01704MR39 #87
  41. (41) D. WELSH : Euler and bipartite matroids. J. of Comb. Theory 6 (1969), 375-377. Zbl0169.01901MR38 #5656

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