Discovery Projects - Grant ID: DP0666632

Funding Activity

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Funded Activity Summary

Doubly Stochastic Matrices & The Hamiltonian Cycle Problem. The classical hard problem of determining whether a given graph possesses a Hamiltonian cycle contains the essential difficulty of the famous 'Travelling Salesman Problem'. A characterisation of this difficulty in terms of variability of returns (to the initial state) in a controlled stochastic process will be a significant conceptual advance with repercussions in a number of fields including optimisation and theoretical computer science. Algorithmic advances exploiting such a characterisation will significantly contribute to existing technologies for solving problems in applications ranging from logistics to cryptography. Since TSP describes certain efficient ways of routing its applicability to information networks is clear.

Funded Activity Details

Start Date: 2006

End Date: 06-2011

Funding Scheme: Discovery Projects

Funding Amount: $560,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Stochastic Analysis And Modelling | Statistics | Optimisation | Operations Research |

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences