Faces and bases: Boolean intervals

Details Faces and bases: Boolean intervals Faces and bases: Boolean intervals

2004-11-10

arxiv.org/abs/math/0411240v1

Mathematics

Combinatorics

12 pages

Scientific paper

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.

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