Detecting Backbone of Weighted Complex Network
In order to explore key nodes natures and find out the core of weighted networks, the study advanced backbone network (BN) conception, developed largest eigenvalue algorithm of weight matrix (LEAWM) which utilized matrix characteristic spectrum to detect BN nodes, and done empirical research for two networks: (1) US air lines network, (2) stocks network of coal and power sectors in china stock market. The empirical results indicate that LEAWM is efficient for detecting the BN nodes with some important properties such as bigger degree and betweenness, BN is the core and backbone of its mother network.
H. Wang, B.J. Zhang, X.Z. Liu, D.Z. Luo, S.B. Zhong
W. S. Lan and G. H. Zhao, "Detecting Backbone of Weighted Complex Network", Advanced Materials Research, Vols. 143-144, pp. 712-716, 2011