The Global Structure of Sparse Networks

图论(网络的数学)模拟了许多现实世界的问题，是现代数学的一个主要领域。这个项目旨在使用产品结构理论来研究图的全局结构，这是最近的一种突破性方法，已经成为解决几个公开问题的关键。目标是扩展产品结构理论的范围，发现新的应用领域，特别是在理论计算机科学方面。预计开发的工具将被广泛应用，例如在网络优化方面。该项目旨在建立澳大利亚研究人员与世界领先的国际数学家之间的合作，并为有才华的年轻研究人员提供高级培训。

Graph theory (the mathematics of networks) models many real-world problems and is a major area of modern mathematics. This project aims to investigate the global structure of graphs using product structure theory, which is a recent breakthrough method that has been the key to solving several open problems. The goal is to extend the reach of product structure theory and to discover new fields of application, especially in theoretical computer science. It is expected that the tools developed will be widely applicable, for example, in network optimisation. The project aims to build collaborations between Australian researchers and world-leading international mathematicians, and provide advanced training for talented young researchers.