Symmetrical graphs, generalized polygons and expanders

本项目旨在研究一类高度对称的图--局部S-弧传递图。50多年来，对图类的研究一直是代数图论的中心课题之一。这类图在计算机科学、通信网络、群论、几何等领域都有很好的应用。这个项目将开发新的方法来解决关于局部S-弧传递图的几个基本问题，并将结果应用于解决通信网络、图论、群论和几何中的重要问题。

This project proposes to study a class of highly symmetrical graphs -- locally s-arc-transitive graphs. Studying the class of graphs has been one of the central topics in algebraic graph theory for over 50 years. This class of graphs has been effectively used in computer science, communication network, group theory, geometry, and other areas. This project will develop new methods to solve several fundamental problems regarding locally s-arc-transitive graphs, and apply the outcomes to solve important problems in communication networks, graph theory, group theory, and geometry.