Shortest node-disjoint paths on random graphs

de Bacco, C., Franz, S., Saad, D. and Yeung, C.H. (2014). Shortest node-disjoint paths on random graphs. Journal of Statistical Mechanics, 2014 (7),

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.

Publication DOI: https://doi.org/10.1088/1742-5468/2014/07/P07009
Divisions: Engineering & Applied Sciences > Systems analytics research institute (SARI)
Engineering & Applied Sciences > Mathematics
Additional Information: © 2014 IOP Publishing Ltd and SISSA Medialab srl. Funding: Marie Curie Training Network NETADIS (FP7, grant 290038); EU FET FP7 project STAMINA (FP7–265496); Royal Society Exchange Grant IE110151; “Laboratoire d’Excellence Physics Atom Light Matter” (LabEx PALM) overseen by the French National Research Agency (ANR) as part of the “Investissements d’Avenir” program (reference: ANR-10-LABX-0039); and Research Grants Council of Hong Kong (605010 and 604512).
Uncontrolled Keywords: cavity and replica method,message-passing algorithms,optimization over networks,Statistics and Probability,Statistical and Nonlinear Physics,Statistics, Probability and Uncertainty
Full Text Link: http://iopscien ... /2014/7/P07009/
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
Published Date: 2014-07
Authors: de Bacco, C.
Franz, S.
Saad, D. ( 0000-0001-9821-2623)
Yeung, C.H.

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