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Derivation of the percolation threshold for the network model of Barabasi and Albert | | W. Pietsch
; | | Rating: | Visitors: 5/5 (1 visitor) | | Date: |
8 Sep 2005 | | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks | cond-mat.stat-mech cond-mat.dis-nn | | Abstract: | The percolation threshold of the network model by Barabasi and Albert (BA-model) has thus far only been ’guessed’ based on simulations and comparison with other models - at least to our knowledge. Due to the still uncertain influence of correlations, the reference to other models cannot be justified. In this manuscript, we explicitly derive the well-known numerical values for the BA-model. To underline the importance of a null model like that of Barabasi and Albert, we close with some basic remarks about the nature of scale-free networks. We establish the reason for the fact, that scale-free networks - as found so abundantly in nature - result only from (at least asymptotically) linear preferential attachment: For linear preferential attachment only a minimum of topological knowledge about the network is required for the attachment process. | | Source: | arXiv, cond-mat/0509214 | | Other source: | [GID 185879] pmid16906919 | | Services: | Forum | Review | PDF | Favorites | |
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