Equitable matroids
The electronic journal of combinatorics, Tome 13 (2006)
One way to choose a basis of a matroid at random is to choose an ordering of the ground set uniformly at random and then use the greedy algorithm to find a basis. We investigate the class of matroids having the property that this procedure yields a basis uniformly at random. We show how this class is related to some other naturally-defined families of matroids and consider how it behaves under well-known matroid operations.
@article{10_37236_1067,
author = {Dillon Mayhew},
title = {Equitable matroids},
journal = {The electronic journal of combinatorics},
year = {2006},
volume = {13},
doi = {10.37236/1067},
zbl = {1100.05017},
url = {http://geodesic.mathdoc.fr/articles/10.37236/1067/}
}
Dillon Mayhew. Equitable matroids. The electronic journal of combinatorics, Tome 13 (2006). doi: 10.37236/1067
Cité par Sources :