Some combinatorial properties of flag simplicial pseudomanifolds and spheres

DOI10.1007/s11512-009-0106-4zbMath1235.52020arXiv0807.4369OpenAlexW1991238844MaRDI QIDQ2431085

Christos A. Athanasiadis

Publication date: 8 April 2011

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4369

zbMATH Keywords

graphshomology spheresvertex-connectivitypseudomanifoldsflag complexesh-vector

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Triangulating manifolds (57Q15) Connectivity (05C40) Polyhedral manifolds (52B70)

Related Items (10)

Lower bounds for locally highly connected graphs ⋮ On the connectivity of manifold graphs ⋮ The flag upper bound theorem for 3- and 5-manifolds ⋮ On the flag \(f\)-vector of a graded lattice with nontrivial homology ⋮ \(g\)-vectors of manifolds with boundary ⋮ Buchsbaum\(^*\) complexes ⋮ Connectivity through bounds for the Castelnuovo-Mumford regularity ⋮ Gamma-positivity in combinatorics and geometry ⋮ Improved bounds for the regularity of edge ideals of graphs ⋮ Connectivity of pseudomanifold graphs from an algebraic point of view

Cites Work

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• Remarks on missing faces and generalized lower bounds on face numbers
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• Combinatorics and commutative algebra.
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• On the graph connectivity of skeleta of convex polytopes
• Real root conjecture fails for five- and higher-dimensional spheres
• Lectures on Polytopes
• Face Ring Multiplicity via CM-Connectivity Sequences
• On the facial structure of convex polytopes

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