Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9515585 | Journal of Combinatorial Theory, Series A | 2005 | 31 Pages |
Abstract
Among shellable complexes a certain class has maximal modular homology, and these are the so-called saturated complexes. We extend the notion of saturation to arbitrary pure complexes and give a survey of their properties. It is shown that saturated complexes can be characterized via the p-rank of incidence matrices and via the structure of links. We show that rank-selected subcomplexes of saturated complexes are also saturated, and that order complexes of geometric lattices are saturated.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
V.B. Mnukhin, J. Siemons,