# 583: Combinatorics and Geometry of Polytopes

## Instructor

## Course information

## Office Hours

- Tuesday 1:30-2:30 and Friday 10:30-11:30 or by appointment

## Homeworks

## Possible papers for presentations

- arXiv:1603.06238, "The maximum diameter of pure simplicial complexes and pseudo-manifolds",
by Francisco Criado and Francisco Santos
- MR3279770
Adiprasito, Karim A.; Benedetti, Bruno "The Hirsch conjecture holds for normal flag complexes", Math. Oper. Res.
39 (2014), no. 4, 1340-1348.
- MR2777514
Eisenbrand, Friedrich; Hahnle, Nicolai; Razborov, Alexander; Rothvos, Thomas
"Diameter of polyhedra: limits of abstraction",
Math. Oper. Res. 35 (2010), no. 4, 786-794.
- MR3223380
Hahnle, Nicolai; Klee, Steven; Pilaud, Vincent
"Obstructions to weak decomposability for simplicial polytopes",
Proc. Amer. Math. Soc. 142 (2014), no. 9, 3249-3257.
- MR1092544
Kalai, G.
"On low-dimensional faces that high-dimensional polytopes must have",
Combinatorica 10 (1990), no. 3, 271-280.