The Edge-Disjoint Path Problem on Random Graphs by Message-Passing

@article{Altarelli2015TheEP,
  title={The Edge-Disjoint Path Problem on Random Graphs by Message-Passing},
  author={Fabrizio Altarelli and Alfredo Braunstein and Luca Dall’Asta and Caterina De Bacco and Silvio Franz},
  journal={PLoS ONE},
  year={2015},
  volume={10}
}
We present a message-passing algorithm to solve a series of edge-disjoint path problems on graphs based on the zero-temperature cavity equations. Edge-disjoint paths problems are important in the general context of routing, that can be defined by incorporating under a unique framework both traffic optimization and total path length minimization. The computation of the cavity equations can be performed efficiently by exploiting a mapping of a generalized edge-disjoint path problem on a star… 
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