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.

该项目旨在在极端和结构图理论的交集中攻击未解决的问题，这是图理论的两个最重要的分支。图理论是网络的数学，它为许多现实世界中的问题建模，并且是现代数学的关键组成部分。该项目希望开发一种理论，该理论综合了这两个领域的最新发展。预计开发的工具将广泛适用，例如用于网络优化算法。该项目将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，并将为才华横溢的年轻研究人员提供高级培训。