2008/10/30 by Eran Nevo, Nevo, Eran
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Computational Geometry and Mesh Generation #Topological and Geometric Data Analysis #math.CO #msc:52B05
paper · pdf · doi:10.48550/arxiv.0810.5487
11 pages. New content added: Conjecture 1.5 interpolates between the generalized lower bound conjecture for simplicial spheres and Gal's conjecture for flag spheres. To appear in Björner Festschrift, Elec. J. Combi.
arxiv created 2009/04/24 · arxiv updated 2009/12/01
We consider simplicial polytopes, and more general simplicial complexes, without missing faces above a fixed dimension. Sharp analogues of McMullen's generalized lower bounds, and of Barnette's lower bounds, are conjectured for these families of complexes. Some partial results on these conjectures are presented.