Tight Lower Bounds on the Sizes of Symmetric Extensions of Permutahedra and Similar Results
Abstract
It is well known that the permutahedron Pin has 2n-2 facets. The Birkhoff polytope provides a symmetric extended formulation of Pin of size Theta(n2). Recently, Goemans described a non-symmetric extended formulation of Pin of size Theta(n log(n)). In this paper, we prove that Omega(n2) is a lower bound for the size of symmetric extended formulations of Pin.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.