dorsal/arxiv
View SchemaGrowing network with j-redirection
| Authors | R. Lambiotte, M. Ausloos |
|---|---|
| Categories | |
| ArXiv ID | physics/0612148 |
| URL | https://arxiv.org/abs/physics/0612148 |
| DOI | 10.1209/0295-5075/77/58002 |
| Journal | Eur. Phys. Lett. 77 (2007) 58002 |
Abstract
A model for growing information networks is introduced where nodes receive new links through j-redirection, i.e. the probability for a node to receive a link depends on the number of paths of length j arriving at this node. In detail, when a new node enters the network, it either connects to a randomly selected node, or to the j -ancestor of this selected node. The j -ancestor is found by following j links from the randomly selected node. The system is shown to undergo a transition to a phase where condensates develop. We also find analytical predictions for the height statistics and show numerically the non-trivial behaviour of the degree distribution.
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"abstract": "A model for growing information networks is introduced where nodes receive\nnew links through j-redirection, i.e. the probability for a node to receive a\nlink depends on the number of paths of length j arriving at this node. In\ndetail, when a new node enters the network, it either connects to a randomly\nselected node, or to the j -ancestor of this selected node. The j -ancestor is\nfound by following j links from the randomly selected node. The system is shown\nto undergo a transition to a phase where condensates develop. We also find\nanalytical predictions for the height statistics and show numerically the\nnon-trivial behaviour of the degree distribution.",
"arxiv_id": "physics/0612148",
"authors": [
"R. Lambiotte",
"M. Ausloos"
],
"categories": [
"physics.soc-ph"
],
"doi": "10.1209/0295-5075/77/58002",
"journal_ref": "Eur. Phys. Lett. 77 (2007) 58002",
"title": "Growing network with j-redirection",
"url": "https://arxiv.org/abs/physics/0612148"
},
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