COMPGEOM
2011
ACM
12 years 8 months ago
2011
ACM
We introduce a new notion of minors for simplicial complexes (hypergraphs), so-called homological minors. Our motivation is to propose a general approach to attack certain extrema...
COMBINATORICS
1999
13 years 4 months ago
1999
Abstract. Ehrenborg and Steingr
JSC
2007
13 years 4 months ago
2007
We generalize the concept of a cycle from graphs to simplicial complexes. We show that a simplicial cycle is either a sequence of facets connected in the shape of a circle, or is ...
DM
2007
13 years 4 months ago
2007
We consider a variety of connections between threshold graphs, shifted complexes, and simplicial complexes naturally formed from a graph. These graphical complexes include the inde...
EJC
2006
13 years 4 months ago
2006
We introduce a large self-dual class of simplicial complexes for which we show that each member complex is contractible or homotopy equivalent to a sphere. Examples of complexes i...
DCG
2006
13 years 4 months ago
2006
In a 1967 paper, Banchoff stated that a certain type of polyhedral curvature, that applies to all finite polyhedra, was zero at all vertices of an odd-dimensional polyhedral manifo...
STOC
1996
ACM
13 years 8 months ago
1996
ACM
We use the Laplacian and power method to compute Betti numbers of simplicial complexes. This has a number of advantages over other methods, both in theory and in practice. It requ...
SIGGRAPH
2000
ACM
13 years 9 months ago
2000
ACM
We present an object-space morphing technique that blends the interiors of given two- or three-dimensional shapes rather than their boundaries. The morph is rigid in the sense tha...