Abstract
We study the equilibrium states of energy functions involving a large set of real variables, defined on the links of sparsely connected networks, and interacting at the network nodes, using the cavity and replica methods. When applied to the representative problem of network resource allocation, an efficient distributed algorithm is devised, with simulations showing full agreement with theory. Scaling properties with the network connectivity and the resource availability are found. © 2006 The American Physical Society.
Original language | English |
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Article number | 010104 |
Pages (from-to) | 1-4 |
Number of pages | 4 |
Journal | Physical Review E |
Volume | 74 |
Issue number | 1 |
DOIs | |
Publication status | Published - 17 Jul 2006 |
Bibliographical note
Copyright of the American Physical SocietyKeywords
- equilibrium states
- energy functions
- networks
- network nodes
- replica methods