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

DOI:
https://doi.org/10.1090/S0002-9904-1973-13315-4

MathSciNet review:
0376406

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References | Similar Articles | Additional Information

**1.**J. A. Bondy,*Pancyclic graphs*. II, University of Waterloo, (summary in Proc. Second Louisiana Conf. Combinatorics, Graph Theory and Computing, Baton Rouge, La., 1971). MR**325458****2.**W. Cunningham,*The basis graph of a matroid*, University of Waterloo, (unpublished).**3.**C. A. Holzmann,*Survey on tree graphs*, Proc.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.**C. A. Holzmann and F. Harary,*On the tree graph of a matroid*, SIAM J. Appl. Math. 22(1972), 187-193. MR**307952****5.**C. A. Holzmann, P. G. Norton and M. D. Tobey,*A graphical representation of matroids*, SIAM J. Appl. Math, (to appear). MR**389627****6.**S. B. Maurer,*Matroid basis graphs*, Ph. D. Thesis, Princeton University, May 1972. (Available as a Math. Dept. Technical Report. )**7.**S. B. Maurer,*Matroid basis graphs*. I, II, J. Combinatorial Theory, Ser. B. (to appear). MR**317971****8.**A. W. Tucker,*A combinatorial equivalence of matrices*, R. Bellman and M. Hall, (editors) Combinatorial Analysis, Proc. Symp. Appl. Math. 10, Amer. Math. Soc., Providence, R. I., 1960, pp. 129-140. MR 22 # 5579. MR**114760****9.**W. T. Tutte,*Lectures on matroids*, J. Res. Nat. Bur. Standards 69B (1965), 1-47. MR 31 # 4023. MR**179781****10.**M. L. Yoseloff,*Matroids as pivotal algebraic systems*, Math. Dept. Technical Report, Princeton University, 1970.**11.**H. H. Crapo and G.-C. Rota,*On the foundations of combinatorial theory: Combinatorial geometries*, MIT Press, Cambridge, Mass., 1970. MR**290980**

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DOI:
https://doi.org/10.1090/S0002-9904-1973-13315-4