Local h-Vectors of Quasi-Geometric and Barycentric Subdivisions View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-03

AUTHORS

Martina Juhnke-Kubitzke, Satoshi Murai, Richard Sieg

ABSTRACT

In this paper, we answer two questions on local h-vectors, which were asked by Athanasiadis. First, we characterize all possible local h-vectors of quasi-geometric subdivisions of a simplex. Second, we prove that the local γ-vector of the barycentric subdivision of any CW-regular subdivision of a simplex is nonnegative. Along the way, we derive a new recurrence formula for the derangement polynomials. More... »

PAGES

364-379

References to SciGraph publications

  • 2005-08. Real Root Conjecture Fails for Five- and Higher-Dimensional Spheres in DISCRETE & COMPUTATIONAL GEOMETRY
  • 2018-03. On Partial Barycentric Subdivision in RESULTS IN MATHEMATICS
  • 2005-06. Subdivisions of Toric Complexes in JOURNAL OF ALGEBRAIC COMBINATORICS
  • 2007-09. Decomposition theorem for the cd-index of Gorenstein* posets in JOURNAL OF ALGEBRAIC COMBINATORICS
  • 1994-04. On subdivisions of simplicial complexes: Characterizing localh-vectors in DISCRETE & COMPUTATIONAL GEOMETRY
  • 2010-01. On the log-concavity of Hilbert series of Veronese subrings and Ehrhart series in MATHEMATISCHE ZEITSCHRIFT
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00454-018-9986-z

    DOI

    http://dx.doi.org/10.1007/s00454-018-9986-z

    DIMENSIONS

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