Cycle decompositions of graphs

数学等核心学科的基础研究对澳大利亚的好处是有据可查的。这个项目的目的是解决长期存在的和重要的开放问题，在数学领域被称为图论。这些问题的解决无疑将使澳大利亚在这一领域的研究脱颖而出，并有助于提高澳大利亚的国际研究形象。该项目以三个优秀的离散数学博士项目的形式提供大量的研究生培训。计算机时代确保了这是一门蓬勃发展的学科，也是世界各地本科教学大纲中越来越多的组成部分。因此，这是提供高质量研究培训的一个关键领域。

The benefits to Australia of fundamental research in core disciplines such as mathematics are well documented. This project aims to solve long-standing and significant open problems in the field of mathematics known as graph theory. Solving such problems will undoubtedly bring Australian research in this field to the fore, and help to enhance Australia's international research profile generally. The project offers substantial postgraduate training in the form of three excellent PhD projects in discrete mathematics. The computer age has ensured that this is a booming discipline and an increasing component of undergraduate syllabi around the world. It is thus a crucial area in which to be providing quality research training.