Saturated simplicial complexes

Mnukhin, V. B. and Siemons, J. (2005) Saturated simplicial complexes. Journal of Combinatorial Theory, Series A, 109 (1). pp. 149-179. ISSN 0097-3165

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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.

Item Type:	Article
Faculty \ School:	Faculty of Science Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics
Depositing User:	Vishal Gautam
Date Deposited:	01 Jan 2005
Last Modified:	24 Sep 2024 10:00
URI:	https://ueaeprints.uea.ac.uk/id/eprint/17487
DOI:	10.1016/j.jcta.2004.08.003

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