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arXiv · 0906.4905

Vertex routing models

Dimitrije Markovic·Claudius Gros
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Abstract

A class of models describing the flow of information within networks via routing processes is proposed and investigated, concentrating on the effects of memory traces on the global properties. The long-term flow of information is governed by cyclic attractors, allowing to define a measure for the information centrality of a vertex given by the number of attractors passing through this vertex. We find the number of vertices having a non-zero information centrality to be extensive/sub-extensive for models with/without a memory trace in the thermodynamic limit. We evaluate the distribution of the number of cycles, of the cycle length and of the maximal basins of attraction, finding a complete scaling collapse in the thermodynamic limit for the latter. Possible implications of our results on the information flow in social networks are discussed.

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Dimitrije Markovic, Claudius Gros. 2009-06-26. Vertex routing models. https://doi.org/10.1088/1367-2630%2F11%2F7%2F073002

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