Strength-Strength and Strength-Degree Correlation Measures for Directed Weighted Complex Network Analysis

Shi-Ze GUO  Zhe-Ming LU  Zhe CHEN  Hao LUO  

IEICE TRANSACTIONS on Information and Systems   Vol.E94-D   No.11   pp.2284-2287
Publication Date: 2011/11/01
Online ISSN: 1745-1361
DOI: 10.1587/transinf.E94.D.2284
Print ISSN: 0916-8532
Type of Manuscript: LETTER
Category: Artificial Intelligence, Data Mining
complex network,  directed network,  weighted network,  directed weighted network,  strength-strength correlation,  strength-degree correlation,  

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This Letter defines thirteen useful correlation measures for directed weighted complex network analysis. First, in-strength and out-strength are defined for each node in the directed weighted network. Then, one node-based strength-strength correlation measure and four arc-based strength-strength correlation measures are defined. In addition, considering that each node is associated with in-degree, out-degree, in-strength and out-strength, four node-based strength-degree correlation measures and four arc-based strength-degree correlation measures are defined. Finally, we use these measures to analyze the world trade network and the food web. The results demonstrate the effectiveness of the proposed measures for directed weighted networks.