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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

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📜 SIMILAR VOLUMES


Graphs with small hyperbolicity constant
✍ Bermudo, Sergio; Rodríguez, José M.; Rosario, Omar; Sigarreta, José M. 📂 Article 📅 2014 🏛 Elsevier Science 🌐 English ⚖ 186 KB
Hyperbolicity and complement of graphs
✍ Sergio Bermudo; José M. Rodríguez; José M. Sigarreta; Eva Tourís 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 280 KB

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

Gromov hyperbolicity of planar graphs
✍ Cantón, Alicia ;Granados, Ana ;Pestana, Domingo ;Rodríguez, José 📂 Article 📅 2013 🏛 Walter de Gruyter GmbH 🌐 English ⚖ 900 KB
When is the graph product of hyperbolic
✍ John Meier 📂 Article 📅 1996 🏛 Springer 🌐 English ⚖ 771 KB

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