Add to ORKGIn this note we describe when the independence complex of G[H], the lexicographical product of two graphs G and H, is either vertex decomposable or shellable. As an application, we show that there exists an infinite family ofgraphs whose independence complexes are shellable but not vertexdecomposable
AbstractIn this paper we prove the conjecture of J.-C. Bermond (Ann. Discrete Math. 36 (1978), 21–28...
Every connected graph G with radius r(G) and independence num-ber α(G) obeys α(G) ≥ r(G). Recently ...
Shellability of simplicial complexes has been a useful concept in polyhedral theory, in piecewise li...
In this note we describe when the independence complex of G[H], the lexicographical product of two g...
AbstractFirst we prove that certain complexes on directed acyclic graphs are shellable. Then we stud...
A simplicial complex ∆ is shellable if its facets “fit nicely together”. Specifically, if there is a...
In this paper a new class of vertex decomposable graphs are determined. Moreover, all shellable and ...
In this paper a new class of vertex decomposable graphs are determined. Moreover, all shellable and ...
The concept of shellability of complexes is generalized by deleting the requirement of purity (i.e.,...
AbstractWe show that the independence complex I(G) of an arbitrary chordal graph G is either contrac...
AbstractWe give new examples of shellable, but not extendably shellable two-dimensional simplicial c...
AbstractAssociated to a simple undirected graph G is a simplicial complex ΔG whose faces correspond ...
Abstract. Let G be a simple undirected graph and let ∆G be a simplicial complex whose faces correspo...
Abstract:- A stable set in a graph G is a set of pairwise non-adjacent vertices. The independence po...
AbstractIndependence polynomials of graphs enjoy the property of essentially being closed under grap...
AbstractIn this paper we prove the conjecture of J.-C. Bermond (Ann. Discrete Math. 36 (1978), 21–28...
Every connected graph G with radius r(G) and independence num-ber α(G) obeys α(G) ≥ r(G). Recently ...
Shellability of simplicial complexes has been a useful concept in polyhedral theory, in piecewise li...
In this note we describe when the independence complex of G[H], the lexicographical product of two g...
AbstractFirst we prove that certain complexes on directed acyclic graphs are shellable. Then we stud...
A simplicial complex ∆ is shellable if its facets “fit nicely together”. Specifically, if there is a...
In this paper a new class of vertex decomposable graphs are determined. Moreover, all shellable and ...
In this paper a new class of vertex decomposable graphs are determined. Moreover, all shellable and ...
The concept of shellability of complexes is generalized by deleting the requirement of purity (i.e.,...
AbstractWe show that the independence complex I(G) of an arbitrary chordal graph G is either contrac...
AbstractWe give new examples of shellable, but not extendably shellable two-dimensional simplicial c...
AbstractAssociated to a simple undirected graph G is a simplicial complex ΔG whose faces correspond ...
Abstract. Let G be a simple undirected graph and let ∆G be a simplicial complex whose faces correspo...
Abstract:- A stable set in a graph G is a set of pairwise non-adjacent vertices. The independence po...
AbstractIndependence polynomials of graphs enjoy the property of essentially being closed under grap...
AbstractIn this paper we prove the conjecture of J.-C. Bermond (Ann. Discrete Math. 36 (1978), 21–28...
Every connected graph G with radius r(G) and independence num-ber α(G) obeys α(G) ≥ r(G). Recently ...
Shellability of simplicial complexes has been a useful concept in polyhedral theory, in piecewise li...