Basis graphs of pregeometries
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- by Stephen B. Maurer PDF
- Bull. Amer. Math. Soc. 79 (1973), 783-786
References
- 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 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 W. Cunningham, The basis graph of a matroid, University of Waterloo, (unpublished). 3.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).
- Carlos A. Holzmann and Frank Harary, On the tree graph of a matroid, SIAM J. Appl. Math. 22 (1972), 187–193. MR 307952, DOI 10.1137/0122021
- C. A. Holzmann, P. G. Norton, and M. D. Tobey, A graphical representation of matroids, SIAM J. Appl. Math. 25 (1973), 618–627. MR 389627, DOI 10.1137/0125060 6. S. B. Maurer, Matroid basis graphs, Ph. D. Thesis, Princeton University, May 1972. (Available as a Math. Dept. Technical Report. )
- Stephen B. Maurer, Matroid basis graphs. I, J. Combinatorial Theory Ser. B 14 (1973), 216–240. MR 317971, DOI 10.1016/0095-8956(73)90005-1
- 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
- W. T. Tutte, Lectures on matroids, J. Res. Nat. Bur. Standards Sect. B 69B (1965), 1–47. MR 179781, DOI 10.6028/jres.069B.001 10. M. L. Yoseloff, Matroids as pivotal algebraic systems, Math. Dept. Technical Report, Princeton University, 1970.
- 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
Additional Information
- Journal: Bull. Amer. Math. Soc. 79 (1973), 783-786
- MSC (1970): Primary 05B35; Secondary 05C05, 05C35, 05B20, 15A30
- DOI: https://doi.org/10.1090/S0002-9904-1973-13315-4
- MathSciNet review: 0376406