منابع مشابه
Flag Vectors
This paper deenes for each object X that can be constructed out of a nite number of vertices and cells a vector fX lying in a nite dimensional vector space. This is the ag vector of X. It is hoped that the quantum topological invariants of a manifold M can be expressed as linear functions of the ag vector of the i-graph that arises from any suitable triangulation T of M. Flag vectors are also d...
متن کاملSUBDIVISIONS AND LOCAL h-VECTORS
In Part I a general theory of f-vectors of simplicial subdivisions (ortriangulations) of simplicial complexes is developed, based on the concept of lo-cal h-vector. As an application, we prove that the h-vector of a Cohen-Macaulaycomplex increases under "quasi-geometric" subdivision, thus establishing a spe-cial case of a conjecture of Kalai and this author. Techniques include c...
متن کاملf-VECTORS OF BARYCENTRIC SUBDIVISIONS
For a simplicial complex or more generally Boolean cell complex ∆ we study the behavior of the f and h-vector under barycentric subdivision. We show that if ∆ has a non-negative h-vector then the h-polynomial of its barycentric subdivision has only simple and real zeros. As a consequence this implies a strong version of the Charney-Davis conjecture for spheres that are the subdivision of a Bool...
متن کاملOn shelling and flag vectors
This note defines a flag vector for i-graphs. The construction applies to any finite combinatorial object that can be shelled. Two possible connections to quantum topology are mentioned. Further details appear in the author’s On quantum topology, hypergraphs and flag vectors, (preprint q-alg/9708001). The purpose of this note is to state concisely a new combinatorial concept. This note is an an...
متن کاملFlag Vectors of Multiplicial Polytopes
Bisztriczky introduced the multiplex as a generalization of the simplex. A polytope is multiplicial if all its faces are multiplexes. In this paper it is proved that the flag vectors of multiplicial polytopes depend only on their face vectors. A special class of multiplicial polytopes, also discovered by Bisztriczky, is comprised of the ordinary polytopes. These are a natural generalization of ...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2012
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2012.259.257