Transport on weighted networks:: When the correlations are independent of the degree

被引:35
作者
Ramasco, Jose J. [1 ]
Goncalves, Bruno [2 ]
机构
[1] ISI Fdn, CNLL, I-10133 Turin, Italy
[2] Emory Univ, Dept Phys, Atlanta, GA 30322 USA
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevE.76.066106
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Most real-world networks are weighted graphs with the weight of the edges reflecting the relative importance of the connections. In this work, we study nondegree dependent correlations between edge weights, generalizing thus the correlations beyond the degree dependent case. We propose a simple method to introduce weight-weight correlations in topologically uncorrelated graphs. This allows us to test different measures to discriminate between the different correlation types and to quantify their intensity. We also discuss here the effect of weight correlations on the transport properties of the networks, showing that positive correlations dramatically improve transport. Finally, we give two examples of real-world networks (social and transport graphs) in which weight-weight correlations are present.
引用
收藏
页数:8
相关论文
共 50 条
[21]   Fractality and degree correlations in scale-free networks [J].
Yuka Fujiki ;
Shogo Mizutaka ;
Kousuke Yakubo .
The European Physical Journal B, 2017, 90
[22]   Degree Correlations in Directed Scale-Free Networks [J].
Williams, Oliver ;
Del Genio, Charo I. .
PLOS ONE, 2014, 9 (10)
[23]   Fractality and degree correlations in scale-free networks [J].
Fujiki, Yuka ;
Mizutaka, Shogo ;
Yakubo, Kousuke .
EUROPEAN PHYSICAL JOURNAL B, 2017, 90 (07)
[24]   Generating random networks with given degree-degree correlations and degree-dependent clustering [J].
Pusch, Andreas ;
Weber, Sebastian ;
Porto, Markus .
PHYSICAL REVIEW E, 2008, 77 (01)
[25]   Cooperation in an evolutionary prisoner's dilemma on networks with degree-degree correlations [J].
Devlin, Stephen ;
Treloar, Thomas .
PHYSICAL REVIEW E, 2009, 80 (02)
[26]   On the formation of degree and cluster-degree correlations in scale-free networks [J].
Yao, X ;
Zhang, CS ;
Chen, JW ;
Li, YD .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 353 :661-673
[27]   Affiliation weighted networks with a differentially private degree sequence [J].
Jing Luo ;
Tour Liu ;
Qiuping Wang .
Statistical Papers, 2022, 63 :367-395
[28]   Approximating directed weighted-degree constrained networks [J].
Nutov, Zeev .
THEORETICAL COMPUTER SCIENCE, 2011, 412 (8-10) :901-912
[29]   Degree mixing and the enhancement of synchronization in complex weighted networks [J].
Chavez, M. ;
Hwang, D. -U. ;
Martinerie, J. ;
Boccaletti, S. .
PHYSICAL REVIEW E, 2006, 74 (06)
[30]   Affiliation weighted networks with a differentially private degree sequence [J].
Luo, Jing ;
Liu, Tour ;
Wang, Qiuping .
STATISTICAL PAPERS, 2022, 63 (02) :367-395