UNIFORM HYPERBOLICITY OF THE CURVE GRAPHS

被引：53
|
作者：
Bowditch, Brian H. [1 ]
机构：
[1] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2014年 / 269卷 / 02期
关键词：
uniform hyperbolicity; curve graph; surface; GEOMETRY; COMPLEX;
D O I：
10.2140/pjm.2014.269.269
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that there is a universal constant, k, such that the curve graph associated to any compact orientable surface is k-hyperbolic. Independent proofs of this have been given by Aougab, by Hensel, Przytycki and Webb, and by Clay, Rafi and Schleimer.
引用
收藏
页码：269 / 280
页数：12
相关论文
共 50 条
  • [31] Results on hyperbolicity in graphs: a survey
    Hernandez, Juan C.
    Reyna, Gerardo
    Rosario, Omar
    DISCRETE MATHEMATICS LETTERS, 2020, 4 : 60 - 72
  • [32] On the Hyperbolicity Constant of Line Graphs
    Carballosa, Walter
    Rodriguez, Jose M.
    Sigarreta, Jose M.
    Villeta, Maria
    ELECTRONIC JOURNAL OF COMBINATORICS, 2011, 18 (01):
  • [33] Chordality properties and hyperbolicity on graphs
    Martinez-Perez, Alvaro
    ELECTRONIC JOURNAL OF COMBINATORICS, 2016, 23 (03):
  • [34] Gromov Hyperbolicity in Directed Graphs
    Portilla, Ana
    Rodriguez, Jose M.
    Sigarreta, Jose M.
    Touris, Eva
    SYMMETRY-BASEL, 2020, 12 (01):
  • [35] Knot graphs and Gromov hyperbolicity
    Jabuka, Stanislav
    Liu, Beibei
    Moore, Allison H.
    MATHEMATISCHE ZEITSCHRIFT, 2022, 301 (01) : 811 - 834
  • [36] Gromov Hyperbolicity of Periodic Graphs
    Alicia Cantón
    Ana Granados
    Domingo Pestana
    José M. Rodríguez
    Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39 : 89 - 116
  • [37] Gromov Hyperbolicity of Regular Graphs
    Carlos Hernandez-Gomez, J.
    Rodriguez, Jose M.
    Sigarreta, Jose M.
    Torres-Nunez, Yadira
    Villeta, Maria
    ARS COMBINATORIA, 2017, 130 : 395 - 416
  • [38] Hierarchical hyperbolicity of graphs of multicurves
    Yokes, Kate M.
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2022, 22 (01): : 113 - 151
  • [39] Gromov Hyperbolicity of Periodic Graphs
    Canton, Alicia
    Granados, Ana
    Pestana, Domingo
    Rodriguez, Jose M.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2016, 39 : S89 - S116
  • [40] UNIFORM HYPERBOLICITY ALONG PERIODIC ORBITS
    Fakhari, Abbas
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (09) : 3107 - 3118
12345