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Book Review
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Book Information
Author(s):
James G. Oxley
Title:
Matroid theory
Additional book information:
Oxford University Press, London 1992, xi + 532 pp., US$79.00. ISBN 0-19-853563-5
References:
-
- [1]
- M. Aigner, Combinatorial theory, Springer-Verlag, Berlin, 1979. MR 542445 (80h:05002)
- [2]
- G. Birkhoff, Abstract linear dependence in lattices, Amer. J. Math. 57 (1935), 800-804. MR 1507113
- [3]
- -, Lattice theory, third ed., Amer. Math. Soc. Colloq. Publ., vol. 25, Amer. Math. Soc, Providence, RI, 1967. MR 0227053 (37:2638)
- [4]
- A. Björner, M. Las Vergnas, B. Sturmfels, N. White, and G. Ziegler, Oriented matroids, Cambridge Univ. Press, Cambridge, 1993. MR 1226888 (95e:52023)
- [5]
- J. P. S. Kung, A source book in matroid theory, Birkhäuser, Boston, 1986. MR 890330 (88e:05028)
- [6]
- E. Lawler, Combinatorial optimization: networks and matroids, Holt, New York, 1976. MR 0439106 (55:12005)
- [7]
- A. Recski, Matroid theory and its applications in electrical network theory and in statics, Springer-Verlag, Berlin, 1989. MR 1027839 (91f:05038)
- [8]
- P. D. Seymour, Decomposition of regular matroids, J. Combin. Theory Ser. B 28 (1980), 305-359. MR 579077 (82j:05046)
- [9]
- K. Truemper, Matroid decomposition, Academic Press, Boston, 1992. MR 1170126 (93h:05046)
- [10]
- W. T. Tutte, A homotopy theorem for matroids. I, II, Trans. Amer. Math. Soc. 88 (1958), 144-174. MR 0101526 (21:336)
- [11]
- D. J. A. Welsh, Matroid theory, Academic Press, London, 1976. MR 0427112 (55:148)
- [12]
- N. White, ed., Theory of matroids, Cambridge Univ. Press, Cambridge, 1986.
- [13]
- -, Combinatorial geometries, Cambridge Univ. Press, Cambridge, 1987.
- [14]
- -, Matroid applications, Cambridge Univ. Press, Cambridge, 1992.
- [15]
- H. Whitney, On the abstract properties of linear dependence, Amer. J. Math. 57 (1935), 509-533. MR 1507091
Additional Information:
Reviewer(s):
Neil L.
White
Review Information:
Journal:
Bull. Amer. Math. Soc.
30
(1994),
252-254.
DOI:
10.1090/S0273-0979-1994-00457-4
PII:
S 0273-0979(1994)00457-4
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