Bergman Complexes of Lattice Path Matroids
arXiv:1207.4700
Abstract
We give an explicit description of the poset of cells of Bergman complexes of Lattice Path Matroids and establish a criterion for its simpliciality, in terms of the shape of the bounding paths.
15 pages, 7 figures; substantial improvements in exposition. To appear in SIAM Journal of Discrete Mathematics (SIDMA)