Abstract
A localized method to distribute paths on random graphs is devised, aimed at finding the shortest paths between given source/destination pairs while avoiding path overlaps at nodes. We propose a method based on message-passing techniques to process global information and distribute paths optimally. Statistical properties such as scaling with system size and number of paths, average path-length and the transition to the frustrated regime are analyzed. The performance of the suggested algorithm is evaluated through a comparison against a greedy algorithm. Copyright © 2014 IOP Publishing Ltd and SISSA Medialab srl.
Original language | English |
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Article number | P07009 |
Journal | Journal of Statistical Mechanics: Theory and Experiment |
Volume | 2014 |
DOIs | |
Publication status | Published - Jul 2014 |
Citation
De Bacco, C., Franz, S., Saad, D., & Yeung, C. H. (2014). Shortest node-disjoint paths on random graphs. Journal of Statistical Mechanics: Theory and Experiment, 2014. Retrieved from http://dx.doi.org/10.1088/1742-5468/2014/07/P07009Keywords
- Cavity and replica method
- Optimization over networks
- Message-passing algorithms