Average Betti numbers of induced subcomplexes in triangulations of manifolds
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Publication:2194092
DOI10.37236/8564zbMath1446.05095arXiv1808.04220OpenAlexW3047293314MaRDI QIDQ2194092
Giulia Codenotti, Jonathan Spreer, Francisco Santos
Publication date: 25 August 2020
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.04220
Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Relations of low-dimensional topology with graph theory (57M15) Combinatorial aspects of simplicial complexes (05E45)
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Cites Work
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- An infinite family of tight triangulations of manifolds
- Separation index of graphs and stacked 2-spheres
- Tight combinatorial manifolds and graded Betti numbers
- The mu vector, Morse inequalities and a generalized lower bound theorem for locally tame combinatorial manifolds
- Stacked polytopes and tight triangulations of manifolds
- Rigidity and the lower bound theorem. I
- The unique 3-neighborly 4-manifold with few vertices
- A characterization of simplicial polytopes with \(g_{2}=1\)
- A characterization of tightly triangulated 3-manifolds
- On rigid circuit graphs
- The 9-vertex complex projective plane
- P.l. homeomorphic manifolds are equivalent by elementary shellings
- Triangulations. Structures for algorithms and applications
- \(f\)-vectors of 3-manifolds
- Socles of Buchsbaum modules, complexes and posets
- Note: Combinatorial Alexander duality -- a short and elementary proof
- Konstruktionsmethoden und das kombinatorische Homöomorphieproblem für Triangulationen kompakter semilinearer Mannigfaltigkeiten. (Methods of constructions and the combinatorical homeomorphism problem for triangulations of compact semilinear manifolds)
- A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes
- An enumeration of combinatorial 3-manifolds with nine vertices
- Computation of Betti numbers of monomial ideals associated with stacked polytopes
- Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers.
- Realizability and inscribability for simplicial polytopes via nonlinear optimization
- Face numbers and the fundamental group
- A tightness criterion for homology manifolds with or without boundary
- Incidence matrices and interval graphs
- Toric chordality
- On stellated spheres and a tightness criterion for combinatorial manifolds
- Combinatorial \(3\)-manifolds with \(10\) vertices
- Empty simplices of polytopes and graded Betti numbers
- Higher chordality: From graphs to complexes
- Face Numbers of Manifolds with Boundary
- FAQ on the g-theorem and the hard Lefschetz theorem for face rings
- A Combinatorial Analogue of Poincaré's Duality Theorem
- A Construction Principle for Tight and Minimal Triangulations of Manifolds
- On the Minimum Corridor Connection Problem and Other Generalized Geometric Problems
- Tightly Embedded 2-Dimensional Polyhedral Manifolds
- The Two-Piece Property and Tight n-Manifolds-With-Boundary In E n
- A census of tight triangulations
- A triangulated \(K3\) surface with the minimum number of vertices
- Tight triangulations of closed 3-manifolds