Graph convexity has been used as an important tool to better understand the structure of classes of graphs. Many studies are devoted to determine if a graph equipped with a convexity is a {\em convex geometry}. In this work we survey results on characterizations of well-known classes of graphs via convex geometries. We also give some contributions to this subject.

翻译：图凸性已被用作理解图类结构的重要工具。许多研究致力于确定赋予凸性的图是否为凸几何。本文综述了通过凸几何对著名图类进行特征刻画的结果，并对该领域研究提出了若干贡献。