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arXiv · 1202.0213

The Competition for Shortest Paths on Sparse Graphs

Chi Ho Yeung·David Saad
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Abstract

Optimal paths connecting randomly selected network nodes and fixed routers are studied analytically in the presence of non-linear overlap cost that penalizes congestion. Routing becomes increasingly more difficult as the number of selected nodes increases and exhibits ergodicity breaking in the case of multiple routers. A distributed linearly-scalable routing algorithm is devised. The ground state of such systems reveals non-monotonic complex behaviors in both average path-length and algorithmic convergence, depending on the network topology, and densities of communicating nodes and routers.

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BibTeXRIS

Chi Ho Yeung, David Saad. 2012-02-01. The Competition for Shortest Paths on Sparse Graphs. https://doi.org/10.1103/physrevlett.108.208701

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