نتایج جستجو برای: pure shellable complex
تعداد نتایج: 870950 فیلتر نتایج به سال:
The special properties of planar posets have been studied, particularly in the 1970's by I. Rival and others. More recently, the connection between posets, their corresponding polynomial rings and corresponding simplicial complexes has been studied by R. Stanley and others. This paper, using work of A. Bjorner, provides a connection between the two bodies of work, by characterizing when planar...
This paper introduces two new decomposition techniques which are related to the classical notion of shellability of simplicial complexes, and uses the existence of these decompositions to deduce certain numerical properties for an associated enumerative invariant. First, we introduce the notion of M-shellability, which is a generalization to pure posets of the property of shellability of simpli...
In this paper we construct from a cographic matroid M , a pure multicomplex whose degree sequence is the h–vector of the the matroid complex of M. This result proves a conjecture of Richard Stanley [Sta96] in the particular case of cographic matroids. We also prove that the multicomplexes constructed are M–shellable, so proving a conjecture of Manoj Chari [Cha97] again in the case of cographic ...
The augmented Bergman complex of a closure operator on finite set interpolates between the order proper flats and independence operator. In 2020, Braden, Huh, Matherne, Proudfoot, Wang showed that complexes matroids are always gallery-connected, recently Bullock, Kelley, Reiner, Ren, Shemy, Shen, Sun, Tao, Zhang strengthened "gallery-connected" to "shellable" by providing two classes shelling o...
we consider a class of hypergraphs called hypercycles and we show that a hypercycle $c_n^{d,alpha}$ is shellable or sequentially the cohen--macaulay if and only if $nin{3,5}$. also, we characterize cohen--macaulay hypercycles. these results are hypergraph versions of results proved for cycles in graphs.
Among shellable complexes a certain class has maximal modular homology, and these are the so-called saturated complexes. We extend the notion of saturation to arbitrary pure complexes and give a survey of their properties. It is shown that saturated complexes can be characterized via the p -rank of incidence matrices and via the structure of links. We show that rank-selected subcomplexes of sat...
We recently introduced a notion of tilings the geometric realization finite simplicial complex and related those to discrete Morse theory R. Forman, especially when they have property be shellable, shared by classical shellable complexes. now observe that every such tiling supports quiver which is acyclic precisely then shelling induces two spectral sequences converge (co)homology complex. Thei...
We show that the order complex of the subgroup lattice of a finite group G is nonpure shellable if and only if G is solvable. A by-product of the proof that nonsolvable groups do not have shellable subgroup lattices is the determination of the homotopy types of the order complexes of the subgroup lattices of many minimal simple groups.
For a simplicial complex $K$ with $m$ vertices, there is canonical $\mathbb Z_2^m$-space known as real moment angle R \mathcal Z_K$. In this paper, we consider the quotient spaces $Y=\mathbb Z_K / \mathbb Z_2^{k}$, where pure shellable and Z_2^k \subset Z_2^m$ maximal free action on A typical example of such small cover, cover topological analog toric manifold. We compute integral cohomology gr...
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