Shellings of spheres and polytopes

摘要: Abstract : Bruggesser and Mani proved the boundary complex B(P) of a polytope P always admits shelling. By constructing appropriate linear functionals on certain polytopes dual to P, shellings are here produced that satisfy strong conditions order appearance P's facets. Also included some results more general complexes. The contained play role in current attack d-step conjecture programming. (Author)