New directions in extremal and structural graph theory

极值和结构图论的新方向

• 批准号: DP190101898
• 负责人: Prof David Wood
• 金额: $ 23.21万
• 依托单位: Monash University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2019
• 资助国家: 澳大利亚
• 起止时间: 2019-02-28 至 2024-07-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP190101898
• 关键词: New; directions; extremal; structural; graph

This project aims to attack unsolved problems at the intersection of extremal and structural graph theory, two of the most significant branches of graph theory. Graph theory, which is the mathematics of networks, models many real-world problems and is a key component of modern mathematics. This project expects to develop a theory that synthesises the latest developments in the two fields. It is expected that the tools developed will be widely applicable, for example, in algorithms for network optimisation. The project will build collaborations between Australian researchers and world-leading international mathematicians, and will provide advanced training for talented young researchers.

这个项目旨在解决极值图论和结构图论这两个最重要的图论分支的交叉点上尚未解决的问题。图论是网络的数学，它模拟了许多现实世界的问题，是现代数学的关键组成部分。这个项目期望开发一种综合了这两个领域的最新发展的理论。预计开发的工具将被广泛应用，例如，在网络优化算法中。该项目将在澳大利亚研究人员和世界领先的国际数学家之间建立合作关系，并将为有才华的年轻研究人员提供高级培训。