Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
Volume 26, Issue 10, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0129183115501168
Keywords
Second-order centrality; correlation; scale-free network; invulnerability
Funding
- program of the 12th five-year-plan key discipline (Detection technology and automatic equipment) of Zhejiang Province, China
- Shandong Province Higher Educational Science and Technology Program [J14LN25]
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Scale-free networks in which the degree displays a power-law distribution can be classified into assortative, disassortative, and neutral networks according to their degree-degree correlation. The second-order centrality proposed in a distributed computation manner is quick-calculated and accurate to identify critical nodes. We explore the second-order centrality correlation (SOC) for each type of the scale-free networks. The SOC-SOC correlation in assortative network and neutral network behaves similarly to the degree-degree correlation, while it behaves an apparent difference in disassortative networks. Experiments show that the invulnerability of most of scale-free networks behaves similarly under the node removal ordering by SOC centrality and degree centrality, respectively. The netscience network and the Yeast network behave a little differently because they are native disconnecting networks.
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