dorsal/arxiv
View SchemaDetecting rich-club ordering in complex networks
| Authors | Vittoria Colizza, Alessandro Flammini, M. Angeles Serrano, Alessandro Vespignani |
|---|---|
| Categories | |
| ArXiv ID | physics/0602134 |
| URL | https://arxiv.org/abs/physics/0602134 |
| DOI | 10.1038/nphys209 |
| Journal | Nature Physics 2, 110-115 (2006) |
Abstract
Uncovering the hidden regularities and organizational principles of networks arising in physical systems ranging from the molecular level to the scale of large communication infrastructures is the key issue for the understanding of their fabric and dynamical properties [1-5]. The ``rich-club'' phenomenon refers to the tendency of nodes with high centrality, the dominant elements of the system, to form tightly interconnected communities and it is one of the crucial properties accounting for the formation of dominant communities in both computer and social sciences [4-8]. Here we provide the analytical expression and the correct null models which allow for a quantitative discussion of the rich-club phenomenon. The presented analysis enables the measurement of the rich-club ordering and its relation with the function and dynamics of networks in examples drawn from the biological, social and technological domains.
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"abstract": "Uncovering the hidden regularities and organizational principles of networks\narising in physical systems ranging from the molecular level to the scale of\nlarge communication infrastructures is the key issue for the understanding of\ntheir fabric and dynamical properties [1-5]. The ``rich-club\u0027\u0027 phenomenon\nrefers to the tendency of nodes with high centrality, the dominant elements of\nthe system, to form tightly interconnected communities and it is one of the\ncrucial properties accounting for the formation of dominant communities in both\ncomputer and social sciences [4-8]. Here we provide the analytical expression\nand the correct null models which allow for a quantitative discussion of the\nrich-club phenomenon. The presented analysis enables the measurement of the\nrich-club ordering and its relation with the function and dynamics of networks\nin examples drawn from the biological, social and technological domains.",
"arxiv_id": "physics/0602134",
"authors": [
"Vittoria Colizza",
"Alessandro Flammini",
"M. Angeles Serrano",
"Alessandro Vespignani"
],
"categories": [
"physics.data-an",
"cond-mat.stat-mech"
],
"doi": "10.1038/nphys209",
"journal_ref": "Nature Physics 2, 110-115 (2006)",
"title": "Detecting rich-club ordering in complex networks",
"url": "https://arxiv.org/abs/physics/0602134"
},
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