Structural combinatorics

结构组合学

• 批准号: 371616-2009
• 负责人: DeVos, Matthew
• 金额: $ 1.68万
• 依托单位: Simon Fraser University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2011
• 资助国家: 加拿大
• 起止时间: 2011-01-01 至 2012-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=483654
• 关键词: Structural; combinatorics

I intend to pursue a broad research program in combinatorics, encompassing a variety of topics from arithmetic combinatorics to colourings of graphs. Though the subject matter is varied, there is a common theme running throughout: the search for structural explanations to exceptional behavior. Such structure theorems are among the most useful in combinatorics, since they provide us with very strong information when they apply.

我打算在组合学方面进行广泛的研究，包括从算术组合学到图形着色的各种主题。 虽然主题多种多样，但有一个共同的主题贯穿始终：寻找异常行为的结构性解释。 这样的结构定理在组合学中是最有用的，因为它们在应用时为我们提供了非常强有力的信息。