On the Number of Bases of Almost All Matroids

Author:

Pendavingh Rudi,van der Pol Jorn

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Discrete Mathematics and Combinatorics

Reference19 articles.

1. A. E. Brouwer, A.M. Cohen and A. Neumaier: Distance-Regular Graphs, volume 18 of Ergebnisse der Mathematik und ihrer Grenzgebiete, Springer Berlin Heidelberg, 1989.

2. N. Bansal, R. A. Pendavingh and J. G. van der Pol: On the number of matroids, Combinatorica 35 (2015), 253–277.

3. F. R. K. Chung, R. L. Graham, P. Frankl and J. B. Shearer: Some intersection theorems for ordered sets and graphs, J. Combin. Theory Ser. A 43 (1986), 23–37.

4. B. Cloteaux: Approximating the number of bases for almost all matroids, Congressus Numerantium 202 (2010), 149–153.

5. H. H. Crapo and G.-C. Rota: On the foundations of combinatorial theory: Combinatorial geometries, the M.I.T. Press, Cambridge, Mass.-London, preliminary edition, 1970.

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1. Almost Every Matroid has an $M(K_4)$- or a $\mathcal{W}^3$-Minor;The Electronic Journal of Combinatorics;2023-11-17

2. The Matroid Secretary Problem for Minor-Closed Classes and Random Matroids;SIAM Journal on Discrete Mathematics;2020-01

3. Asymptotics of symmetry in matroids;Journal of Combinatorial Theory, Series B;2019-03

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