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arXiv · 0802.2644

Percolation transition in correlated static model

Sang-Woo Kim·Jae Dong Noh
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Abstract

We introduce a correlated static model and investigate a percolation transition. The model is a modification of the static model and is characterized by assortative degree-degree correlation. As one varies the edge density, the network undergoes a percolation transition. The percolation transition is characterized by a weak singular behavior of the mean cluster size and power-law scalings of the percolation order parameter and the cluster size distribution in the entire non-percolating phase. These results suggest that the assortative degree-degree correlation generates a global structural correlation which is relevant to the percolation critical phenomena of complex networks.

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Sang-Woo Kim, Jae Dong Noh. 2008-02-19. Percolation transition in correlated static model. https://doi.org/10.3938/jkps.52.145

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