AbstractThe vertex stars of shellable polytopal complexes are shown to be shellable. The link of a vertex v of a shellable polytopal complex is also shown to be shellable, provided that all facets of the star of v are simple polytopes, or (more generally) if there exists a shelling F1,…,Fn of the star of v such that, for every 1<j⩽n, the intersection of Fj with the previous facets is an initial segment of a line shelling of the boundary complex of Fj
Chain complexes are studied here as an abstract algebraic generalisation of geometric simplicial com...
We say that a pure $d$-dimensional simplicial complex $\Delta$ on $n$ vertices is shelling completab...
AbstractAssociated to a simple undirected graph G is a simplicial complex ΔG whose faces correspond ...
AbstractThe vertex stars of shellable polytopal complexes are shown to be shellable. The link of a v...
A simplicial complex ∆ is shellable if its facets “fit nicely together”. Specifically, if there is a...
Shellability of simplicial complexes has been a useful concept in polyhedral theory, in piecewise li...
The concept of shellability of complexes is generalized by deleting the requirement of purity (i.e.,...
AbstractShellability of simplicial complexes has been a powerful concept in polyhedral theory, in p....
AbstractWe show that if a three-dimensional polytopal complex has a knot in its 1-skeleton, where th...
In this paper we show that a $k$-shellable simplicial complex is the expansion of a shellable comple...
All dissections of a convex (mn + 2)-gons into (m + 2)-gons arefacets of a simplicial complex. This ...
AbstractWe introduce and study a new class of shellings of simplicial complexes that we call h-shell...
AbstractWe show that for allk⩾1 andn⩾0 the simplicial complexes T(k)nof all leaf-labelled trees with...
AbstractShellability of simplicial complexes has been a powerful concept in polyhydral theory, in p....
AbstractIn this short note we discuss the shellability of (nonpure) simplicial complexes in terms of...
Chain complexes are studied here as an abstract algebraic generalisation of geometric simplicial com...
We say that a pure $d$-dimensional simplicial complex $\Delta$ on $n$ vertices is shelling completab...
AbstractAssociated to a simple undirected graph G is a simplicial complex ΔG whose faces correspond ...
AbstractThe vertex stars of shellable polytopal complexes are shown to be shellable. The link of a v...
A simplicial complex ∆ is shellable if its facets “fit nicely together”. Specifically, if there is a...
Shellability of simplicial complexes has been a useful concept in polyhedral theory, in piecewise li...
The concept of shellability of complexes is generalized by deleting the requirement of purity (i.e.,...
AbstractShellability of simplicial complexes has been a powerful concept in polyhedral theory, in p....
AbstractWe show that if a three-dimensional polytopal complex has a knot in its 1-skeleton, where th...
In this paper we show that a $k$-shellable simplicial complex is the expansion of a shellable comple...
All dissections of a convex (mn + 2)-gons into (m + 2)-gons arefacets of a simplicial complex. This ...
AbstractWe introduce and study a new class of shellings of simplicial complexes that we call h-shell...
AbstractWe show that for allk⩾1 andn⩾0 the simplicial complexes T(k)nof all leaf-labelled trees with...
AbstractShellability of simplicial complexes has been a powerful concept in polyhydral theory, in p....
AbstractIn this short note we discuss the shellability of (nonpure) simplicial complexes in terms of...
Chain complexes are studied here as an abstract algebraic generalisation of geometric simplicial com...
We say that a pure $d$-dimensional simplicial complex $\Delta$ on $n$ vertices is shelling completab...
AbstractAssociated to a simple undirected graph G is a simplicial complex ΔG whose faces correspond ...