AbstractWe show that for allk⩾1 andn⩾0 the simplicial complexes T(k)nof all leaf-labelled trees withnk+2 leaves and all interior vertices of degreeskl+2 (l⩾1) are shellable. This yields a direct combinatorial proof that they are Cohen–Macaulay and that their homotopy types are wedges of spheres
AbstractThe vertex stars of shellable polytopal complexes are shown to be shellable. The link of a v...
We exhibit an identity of abstract simplicial complexes between the well-studied complex of trees Tn...
AbstractIn this short note we discuss the shellability of (nonpure) simplicial complexes in terms of...
Shellability of simplicial complexes has been a useful concept in polyhedral theory, in piecewise li...
Abstract. Let G be a simple undirected graph and let ∆G be a simplicial complex whose faces correspo...
AbstractAssociated to a simple undirected graph G is a simplicial complex ΔG whose faces correspond ...
Abstract A shelling of a graph, viewed as an abstract simplicial complex that is pure...
The concept of shellability of complexes is generalized by deleting the requirement of purity (i.e.,...
AbstractWe introduce and study a new class of shellings of simplicial complexes that we call h-shell...
A simplicial complex ∆ is shellable if its facets “fit nicely together”. Specifically, if there is a...
Chain complexes are studied here as an abstract algebraic generalisation of geometric simplicial com...
All dissections of a convex (mn + 2)-gons into (m + 2)-gons arefacets of a simplicial complex. This ...
In this paper we show that a $k$-shellable simplicial complex is the expansion of a shellable comple...
AbstractShellability of simplicial complexes has been a powerful concept in polyhedral theory, in p....
AbstractFirst we prove that certain complexes on directed acyclic graphs are shellable. Then we stud...
AbstractThe vertex stars of shellable polytopal complexes are shown to be shellable. The link of a v...
We exhibit an identity of abstract simplicial complexes between the well-studied complex of trees Tn...
AbstractIn this short note we discuss the shellability of (nonpure) simplicial complexes in terms of...
Shellability of simplicial complexes has been a useful concept in polyhedral theory, in piecewise li...
Abstract. Let G be a simple undirected graph and let ∆G be a simplicial complex whose faces correspo...
AbstractAssociated to a simple undirected graph G is a simplicial complex ΔG whose faces correspond ...
Abstract A shelling of a graph, viewed as an abstract simplicial complex that is pure...
The concept of shellability of complexes is generalized by deleting the requirement of purity (i.e.,...
AbstractWe introduce and study a new class of shellings of simplicial complexes that we call h-shell...
A simplicial complex ∆ is shellable if its facets “fit nicely together”. Specifically, if there is a...
Chain complexes are studied here as an abstract algebraic generalisation of geometric simplicial com...
All dissections of a convex (mn + 2)-gons into (m + 2)-gons arefacets of a simplicial complex. This ...
In this paper we show that a $k$-shellable simplicial complex is the expansion of a shellable comple...
AbstractShellability of simplicial complexes has been a powerful concept in polyhedral theory, in p....
AbstractFirst we prove that certain complexes on directed acyclic graphs are shellable. Then we stud...
AbstractThe vertex stars of shellable polytopal complexes are shown to be shellable. The link of a v...
We exhibit an identity of abstract simplicial complexes between the well-studied complex of trees Tn...
AbstractIn this short note we discuss the shellability of (nonpure) simplicial complexes in terms of...
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