dorsal/arxiv
View SchemaModelling Aging Characteristics in Citation Networks
| Authors | Kamalika Basu Hajra, Parongama Sen |
|---|---|
| Categories | |
| ArXiv ID | physics/0508035 |
| URL | https://arxiv.org/abs/physics/0508035 |
| DOI | 10.1016/j.physa.2005.12.044 |
| Journal | Physica A368 (2006) 575-582 |
Abstract
Growing network models with preferential attachment dependent on both age and degree are proposed to simulate certain features of citation network noted in \cite{red2}. In this directed network, a new node gets attached to an older node with the probability $\sim K(k)f(t)$ where the degree and age of the older node are $k$ and $t$ respectively. Several functional forms of $K(k)$ and $f(t)$ have been considered. The desirable features of the citation network can be reproduced with $K(k) \sim k^{-\beta}$ and $f(t) \sim \exp(\alpha t)$ with $\beta =2.0$ and $\alpha = -0.2$ and with simple modifications in the growth scheme.
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"abstract": "Growing network models with preferential attachment dependent on both age and\ndegree are proposed to simulate certain features of citation network noted in\n\\cite{red2}. In this directed network, a new node gets attached to an older\nnode with the probability $\\sim K(k)f(t)$ where the degree and age of the older\nnode are $k$ and $t$ respectively. Several functional forms of $K(k)$ and\n$f(t)$ have been considered. The desirable features of the citation network can\nbe reproduced with $K(k) \\sim k^{-\\beta}$ and $f(t) \\sim \\exp(\\alpha t)$ with\n$\\beta =2.0$ and $\\alpha = -0.2$ and with simple modifications in the growth\nscheme.",
"arxiv_id": "physics/0508035",
"authors": [
"Kamalika Basu Hajra",
"Parongama Sen"
],
"categories": [
"physics.soc-ph"
],
"doi": "10.1016/j.physa.2005.12.044",
"journal_ref": "Physica A368 (2006) 575-582",
"title": "Modelling Aging Characteristics in Citation Networks",
"url": "https://arxiv.org/abs/physics/0508035"
},
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