Faces and bases: Boolean intervals
Combinatorics
2007-05-23 v1
Abstract
We consider redundant analogues of the f- and h-vectors of simplicial complexes and present bases of R^{m+1} related to these ``long'' f- and h-vectors describing the face systems from 2^{1,...,m}; we list the corresponding change of basis matrices. The representations of the long f- and h-vectors of a face system with respect to various bases are expressed based on partitions of the system into Boolean intervals.
Cite
@article{arxiv.math/0411240,
title = {Faces and bases: Boolean intervals},
author = {Andrey O. Matveev},
journal= {arXiv preprint arXiv:math/0411240},
year = {2007}
}
Comments
12 pages