23–26 May 2012
Ferry Stockholm-Mariehamn and Hotel Arkipelag, Mariehamn, Åland
Europe/Stockholm timezone

The Competition for Shortest Paths on Sparse Graphs

24 May 2012, 11:30
30m
Ferry Stockholm-Mariehamn and Hotel Arkipelag, Mariehamn, Åland

Ferry Stockholm-Mariehamn and Hotel Arkipelag, Mariehamn, Åland

Speaker

Dr Chi Ho Yeung (Aston University)

Description

Optimal paths connecting randomly selected node pairs, as well as multiple nodes and their fixed routers are studied analytically in the presence of non-linear overlap cost that penalizes congestion or encourages aggregation. Routing becomes more difficult as the number of selected nodes increases and exhibits interesting physical phenomena such as ergodicity breaking. The ground state of such systems reveals non-monotonic complex behaviors in average path- length and algorithmic convergence, depending on the network topology, and densities of communicating nodes and routers. Distributed linearly-scalable algorithms are also devised for various routing senarios based on the cavity and replica approach.

Primary author

Dr Chi Ho Yeung (Aston University)

Co-author

Prof. David Saad (Aston University)

Presentation materials

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