Linear conditions on the number of faces of manifolds with boundary

DOI10.1006/aama.1997.0537zbMath0879.52009OpenAlexW2012740357MaRDI QIDQ1364327

Min Yan, Beifang Chen

Publication date: 25 August 1997

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.1997.0537

zbMATH Keywords

Euler equationtriangulationsDehn-Sommerville equations\(f\)-vectors

Mathematics Subject Classification ID

Triangulating manifolds (57Q15) Polyhedral manifolds (52B70)

Related Items

Applications of Klee's Dehn-Sommerville relations ⋮ Revisiting generalizations of the Dehn-Sommerville relations ⋮ On semi-Eulerian partially ordered sets with boundary. ⋮ A property that characterizes Euler characteristic among invariants of combinatorial manifolds ⋮ Eulerian stratification of polyhedra ⋮ Eulerian 2-strata spaces

Cites Work

• Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially ordered sets
• The number of faces of a simplicial convex polytope
• A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes
• The numbers of faces of simplicial polytopes
• A Combinatorial Analogue of Poincaré's Duality Theorem
• An enumeration of simplicial 4-polytopes with 8 vertices
• Polytopes, graphs, and complexes
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