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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)


Basis graphs of pregeometries

Author: Stephen B. Maurer
Journal: Bull. Amer. Math. Soc. 79 (1973), 783-786
MSC (1970): Primary 05B35; Secondary 05C05, 05C35, 05B20, 15A30
MathSciNet review: 0376406
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  • 1. J. A. Bondy, Pancyclic graphs, Proceedings of the Second Louisiana Conference on Combinatorics, Graph Theory and Computing (Louisiana State Univ., Baton Rouge, La., 1971) Louisiana State Univ., Baton Rouge, La., 1971, pp. 167–172. MR 0325458 (48 #3805)
  • 2. W. Cunningham, The basis graph of a matroid, University of Waterloo, (unpublished).
  • 3. C. A. Holzmann, Survey on tree graphs, Proc. IEEE International Symp. Circuit Theory, Los Angeles, April 1972 (to appear).
  • 4. Carlos A. Holzmann and Frank Harary, On the tree graph of a matroid, SIAM J. Appl. Math. 22 (1972), 187–193. MR 0307952 (46 #7067)
  • 5. C. A. Holzmann, P. G. Norton, and M. D. Tobey, A graphical representation of matroids, SIAM J. Appl. Math. 25 (1973), 618–627. MR 0389627 (52 #10458)
  • 6. S. B. Maurer, Matroid basis graphs, Ph. D. Thesis, Princeton University, May 1972. (Available as a Math. Dept. Technical Report. )
  • 7. Stephen B. Maurer, Matroid basis graphs. I, J. Combinatorial Theory Ser. B 14 (1973), 216–240. MR 0317971 (47 #6520)
  • 8. A. W. Tucker, A combinatorial equivalence of matrices, Proc. Sympos. Appl. Math., Vol. 10, American Mathematical Society, Providence, R.I., 1960, pp. 129–140. MR 0114760 (22 #5579)
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  • 10. M. L. Yoseloff, Matroids as pivotal algebraic systems, Math. Dept. Technical Report, Princeton University, 1970.
  • 11. Henry H. Crapo and Gian-Carlo Rota, On the foundations of combinatorial theory: Combinatorial geometries, Preliminary edition, The M.I.T. Press, Cambridge, Mass.-London, 1970. MR 0290980 (45 #74)

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Additional Information

PII: S 0002-9904(1973)13315-4

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