Hyperbolic Graphs of Small Complexity
✍ Scribed by Heard, Damian; Hodgson, Craig; Martelli, Bruno; Petronio, Carlo
- Book ID
- 121211086
- Publisher
- Taylor and Francis Group
- Year
- 2010
- Tongue
- English
- Weight
- 594 KB
- Volume
- 19
- Category
- Article
- ISSN
- 1058-6458
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
If X is a geodesic metric space and x 1 , x 2 , x 3 ∈ X , a geodesic triangle T = {x 1 , x 2 , x 3 } is the union of the three geodesics [x 1 x 2 ], [x 2 x 3 ] and [x 3 x 1 ] in X . The space X is δ-hyperbolic (in the Gromov sense) if any side of T is contained in a δ-neighborhood of the union of th
Given a finite simplicial graph G, and an assignment of groups to the vertices of if, the graph product is the free product of the vertex groups modulo relations implying that adjacent vertex groups commute. We use Gromov's link criteria for cubical complexes and techniques of Davis and Moussang to