AbstractRecently, Nevo introduced the notion of strongly edge decomposable spheres. In this paper, we characterize algebraic shifted complexes of those spheres. Algebraically, this result yields the characterization of the generic initial ideal of the Stanley–Reisner ideal of Gorenstein∗ complexes having the strong Lefschetz property in characteristic 0
AbstractShellability of simplicial complexes has been a powerful concept in polyhydral theory, in p....
AbstractOur purpose here is to give a simple topological proof of a theorem of Harer, that the simpl...
We say that a pure $d$-dimensional simplicial complex $\Delta$ on $n$ vertices is shelling completab...
Abstract. Let Γ be a simplicial complex with n vertices, and let ∆(Γ) be either its exterior algebra...
Let $\Gamma$ be a simplicial complex with $n$ vertices, and let $\Delta (\Gamma)$ be either its exte...
AbstractIn 1992, Thomas Bier introduced a surprisingly simple way to construct a large number of sim...
AbstractGil Kalai introduced the shifting-theoretic upper bound relation as a method to generalize t...
Monomials are the link between commutative algebra and combinatorics. With a simplicial complex Δ, o...
We study the generic volume rigidity of $(d-1)$-dimensional simplicial complexes in $\mathbb R^{d-1}...
AbstractShellability of simplicial complexes has been a powerful concept in polyhedral theory, in p....
A subcomplex $X\leq \mathcal{C}$ of a simplicial complex is strongly rigid if every locally injectiv...
Provan and Billera introduced notions of (weak) decomposability of simplicial complexes as a means o...
Let Mu be an n-vertex combinatorial triangulation of a Ζ2-homology d-sphere. In this paper we p...
We survey several old and new problems related to the number of simplicial spheres, the number of ne...
Let $\Delta$ denote a non-degenerate $k$-simplex in $\mathbb{R}^k$. The set $\text{Sim}(\Delta)$ of ...
AbstractShellability of simplicial complexes has been a powerful concept in polyhydral theory, in p....
AbstractOur purpose here is to give a simple topological proof of a theorem of Harer, that the simpl...
We say that a pure $d$-dimensional simplicial complex $\Delta$ on $n$ vertices is shelling completab...
Abstract. Let Γ be a simplicial complex with n vertices, and let ∆(Γ) be either its exterior algebra...
Let $\Gamma$ be a simplicial complex with $n$ vertices, and let $\Delta (\Gamma)$ be either its exte...
AbstractIn 1992, Thomas Bier introduced a surprisingly simple way to construct a large number of sim...
AbstractGil Kalai introduced the shifting-theoretic upper bound relation as a method to generalize t...
Monomials are the link between commutative algebra and combinatorics. With a simplicial complex Δ, o...
We study the generic volume rigidity of $(d-1)$-dimensional simplicial complexes in $\mathbb R^{d-1}...
AbstractShellability of simplicial complexes has been a powerful concept in polyhedral theory, in p....
A subcomplex $X\leq \mathcal{C}$ of a simplicial complex is strongly rigid if every locally injectiv...
Provan and Billera introduced notions of (weak) decomposability of simplicial complexes as a means o...
Let Mu be an n-vertex combinatorial triangulation of a Ζ2-homology d-sphere. In this paper we p...
We survey several old and new problems related to the number of simplicial spheres, the number of ne...
Let $\Delta$ denote a non-degenerate $k$-simplex in $\mathbb{R}^k$. The set $\text{Sim}(\Delta)$ of ...
AbstractShellability of simplicial complexes has been a powerful concept in polyhydral theory, in p....
AbstractOur purpose here is to give a simple topological proof of a theorem of Harer, that the simpl...
We say that a pure $d$-dimensional simplicial complex $\Delta$ on $n$ vertices is shelling completab...