Face vectors of two-dimensional Buchsbaum complexes
Satoshi Murai
TL;DR
This paper characterizes all possible h-vectors of 2-dimensional Buchsbaum simplicial complexes, providing a comprehensive understanding of their combinatorial structure.
Contribution
It offers a complete characterization of h-vectors for 2-dimensional Buchsbaum complexes, a previously unresolved problem.
Findings
Complete classification of h-vectors for 2D Buchsbaum complexes
Identification of conditions for possible h-vectors
Advancement in combinatorial topology of simplicial complexes
Abstract
In this paper, we characterize all possible h-vectors of 2-dimensional Buchsbaum simplicial complexes.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Commutative Algebra and Its Applications · Homotopy and Cohomology in Algebraic Topology