Towards a Theory of Scale-Free Graphs: Definition, Properties, and Implications

By Lun Li, David L. Alderson, John C. Doyle, Walter Willinger. Internet Mathematics, 2005

635 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Molecular Biology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8dd09cfe9d7b2d4a13e02693112b1f8afa37f222

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In Computer Networks and Communications

In Molecular Biology

In Statistical and Nonlinear Physics

Citations in the corpus

A Survey of Statistical Network Models (2009, background): “[196] give a “structural metric” for examining simple connected graphs having identical degree distributions and derive theoretical properties of scale-free graphs.”
Influence of assortativity and degree-preserving rewiring on the spectra of networks (2010, positive): “Consequently, degree correlation related investigations have been performed along various axes: a) models to generate networks with given degree correlation have been developed [13][2]; b) the effect of degree correlation on topological properties is studied in [25][12], and c) the influence of degr”
Structure and Dynamics of Networks (2009, background): “This point has recently been brought up by Li et al. [2006]. Li et al.”
Multilevel algorithms for partitioning power-law graphs (2006, background): “These graphs have a large number of vertices with very low degree and a few vertices with relatively high degrees [22].”
Biological network comparison using graphlet degree distribution (2007, neutral): “Statistical and theoretical properties of these networks have been extensively studied (Jeong et al., 2000; Maslov and Sneppen, 2002; Shen-Orr et al., 2002; Milo et al., 2002; Vazquez et al., 2004; Yeger-Lotem et al., 2004; Przˇulj et al., 2004; Tanaka, 2005) owing to their important biological impl”
Whole-brain anatomical networks: Does the choice of nodes matter? (2010, background): “This is because the binning process involved in generating a frequency-degree plot has been shown to introduce artifacts (see (Liu et al., 2005)).”