The geometric cone relations for simplicial and cubical complexes
It is well-known that the Dehn-Sommerville equations are the only (linear) (independent) relations on the \(f\)-vectors for convex simplicial polytopes, and recently B. F. Chen generalized them to cone relations for simplicial and cubical polytopes, where the angle-sum relations of Perles and Shephard follow easily from the numerical form of these cone relations. The authors derive analogues of these relations for simplicial and cubical complexes, both in cone functions and angles.
scientific article; zbMATH DE number 1130764
scientific article