open access

https://hdl.handle.net/2115/54557

Hierarchical scale-free network is fragile against random failure

英語

2013-12-06

American Physical Society

Physical review e

88(6)

062807-1-062807-5

We investigate site percolation in a hierarchical scale-free network known as the Dorogovtsev-Goltsev-Mendes network. We use the generating function method to show that the percolation threshold is 1, i.e., the system is not in the percolating phase when the occupation probability is less than 1. The present result is contrasted to bond percolation in the same network of which the percolation threshold is zero. We also show that the percolation threshold of intentional attacks is 1. Our results suggest that this hierarchical scale-free network is very fragile against both random failure and intentional attacks. Such a structural defect is common in many hierarchical network models.

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©2013 American Physical Society

1539-3755