Discovery Projects - Grant ID: DP240101048

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP240101048

Funding Status
Active

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Funded Activity Summary

Fractional decomposition of graphs and the Nash-Williams conjecture. Nash-Williams' conjecture is a famous unsolved problem about decomposing graphs (abstract networks). Breakthrough results achieved in recent years have shown that the conjecture, along with other major graph decomposition problems, could be solved if only more were known about fractional decomposition. This project aims to clear this bottleneck to progress by dramatically expanding the state of knowledge on fractional decomposition. Expected outcomes include major progress on Nash-Williams' conjecture and related graph decomposition problems. This should enhance Australia's research reputation in pure mathematics and provide benefits in downstream applications areas including statistics, data transmission, and fibre-optic networks.

Funded Activity Details

Start Date: 01-01-2024

End Date: 31-12-2027

Funding Scheme: Discovery Projects

Funding Amount: $429,118.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Combinatorics and discrete mathematics (excl. physical combinatorics) | Pure mathematics

ANZSRC Socio-Economic Objective (SEO)

Other Keywords

Combinatorics and discrete mathematics (excl. physical combinatorics) | Expanding Knowledge In the Mathematical Sciences | Pure mathematics

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