Accurately and quickly calculating the weighted spectral distribution

Bo Jiao (), Yuan-ping Nie, Jian-mai Shi, Gang Lu, Ying Zhou and Jing Du
Additional contact information
Bo Jiao: Luoyang Electronic Equipment Test Center
Yuan-ping Nie: National University of Defense Technology
Jian-mai Shi: National University of Defense Technology
Gang Lu: Luoyang Electronic Equipment Test Center
Ying Zhou: Luoyang Electronic Equipment Test Center
Jing Du: Luoyang Electronic Equipment Test Center

Telecommunication Systems: Modelling, Analysis, Design and Management, 2016, vol. 62, issue 1, No 19, 243 pages

Abstract: Abstract The weighted spectral distribution (WSD) is a measure defined on the normalized Laplacian spectrum. It can be used for comparing complex networks with different sizes (number of nodes) and provides a sensitive discrimination of the structural robustness of complex networks. In this paper, we design an algorithm for the accurate calculation of the WSD in large-scale complex networks by utilizing characteristics of the graph structure. As an extension to Sylvester’s Law of Inertia for the calculation of the WSD based on spectral characteristics, our algorithm exhibits a higher time efficiency when applied to large-scale complex networks.

Keywords: Weighted spectral distribution; Graph structure; Complex network; Normalized Laplacian spectrum (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s11235-015-0077-7

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