2 citations · 4 across the 6 of their papers we have counts for
6 papers · 1 filter
From flag complexes to banner complexes
Steven Klee, Isabella Novik
A notion of an -banner simplicial complex is introduced. For various values of , these complexes interpolate between the class of flag complexes and the class of all simplici…
-vectors of small matroid complexes
Jesus DeLoera, Yvonne Kemper, Steven Klee
Stanley conjectured in 1977 that the -vector of a matroid simplicial complex is a pure -sequence. We give simple constructive proofs that the conjecture is true for matroids…
Cellular Resolutions of Ideals Defined by Simplicial Homomorphisms
Benjamin Braun, Jonathan Browder, Steven Klee
In this paper we introduce the class of ordered homomorphism ideals and prove that these ideals admit minimal cellular resolutions constructed as homomorphism complexes. As a key i…
Centrally symmetric manifolds with few vertices
Steven Klee, Isabella Novik
A centrally symmetric -vertex combinatorial triangulation of the product of spheres is constructed for all pairs of non-negative integers and with…
Balanced complexes and complexes without large missing faces
Michael Goff, Steven Klee, Isabella Novik
The face numbers of simplicial complexes without missing faces of dimension larger than are studied. It is shown that among all such -dimensional complexes with non-vani…
The Fundamental Group of Balanced Simplicial Complexes and Posets
Steven Klee
We establish an upper bound on the cardinality of a minimal generating set for the fundamental group of a large family of connected, balanced simplicial complexes and, more general…