论文标题
厚度和相对双曲线的多型图
Thickness and relative hyperbolicity for graphs of multicurves
论文作者
论文摘要
我们证明，满足某些自然特性的任何多种材料的图形都是双曲线，相对双曲或厚度。此外，这种几何表征由与图的每个顶点相交的子图集确定。这将裤子图和分离曲线图的先前建立的结果扩展到了与表面相关的广泛图。
We prove that any graph of multicurves satisfying certain natural properties is either hyperbolic, relatively hyperbolic, or thick. Further, this geometric characterization is determined by the set of subsurfaces that intersect every vertex of the graph. This extends previously established results for the pants graph and the separating curve graph to a broad family of graphs associated to surfaces.
