8 search results - page 1 / 2 » The Stirling Polynomial of a Simplicial Complex |
DCG
2006
15 years 24 days ago
2006
We introduce a new encoding of the face numbers of a simplicial complex, its Stirling polynomial, that has a simple expression obtained by multiplying each face number with an app...
97
Voted
JSC
2007
15 years 20 days 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 ...
82
Voted
EJC
2007
15 years 22 days ago
2007
Abstract. Given a simplicial hyperplane arrangement H and a subspace arrangement A embedded in H, we define a simplicial complex ∆A,H as the subdivision of the link of A induced...
72
Voted
DM
2007
15 years 22 days ago
2007
We show that each polynomial a(z)=1+a1z+· · ·+adzd in N[z] having only real zeros is the f-polynomial of a multicomplex. It follows that a(z) is also the h-polynomial of a Cohe...
90
Voted
COMPGEOM
2010
ACM
15 years 5 months ago
2010
ACM
Sampling conditions for recovering the homology of a set using topological persistence are much weaker than sampling conditions required by any known algorithm for producing a top...