Masashi Shinohara - A proof of the Dodecahedron conjecture of distance sets and diameter graphs

The talk “A proof of the Dodecahedron conjecture of distance sets and diameter graphs“ by Masashi Shinohara on the Moscow Conference on Combinatorics and Applications at MIPT. Annotation: A previous speaker Dr. Nozaki will introduce some problems for distance sets and the dodecahedron conjecture for distance sets. In this talk, we will give a proof of the conjecture in detail. In particular, we will introduce the diameter graphs of subsets of a 3-dimensional Euclidean space and discuss the independence numbers of diameter graphs. The full schedule of the conference -