dorsal/arxiv
View SchemaThe Flow Dimension and Capacity for Structuring Urban Street Networks
| Authors | Bin Jiang |
|---|---|
| Categories | |
| ArXiv ID | physics/0609095 |
| URL | https://arxiv.org/abs/physics/0609095 |
| DOI | 10.1016/j.physa.2008.02.047 |
| Journal | Physica A: Statistical Mechanics and its Applications, 2008, 387/16-17 pp 4440-4452 |
Abstract
This paper aims to measure the efficiency of urban street networks (a kind of complex networks) from the perspective of the multidimensional chain of connectivity (or flow). More specifically, we define two quantities: flow dimension and flow capacity, to characterize structures of urban street networks. To our surprise for the topologies of urban street networks, previously confirmed as a form of small world and scale-free networks, we find that (1) the range of their flow dimension is rather wider than their random and regular counterparts, (2) their flow dimension shows a power-law distribution, and (3) they have a higher flow capacity than their random and regular counterparts. The findings confirm that (1) both the wider range of flow dimension and the higher flow capacity can be a signature of small world networks, and (2) the flow capacity can be an alternative quantity for measuring the efficiency of networks or that of the individual nodes. The findings are illustrated using three urban street networks (two in the Europe and one in the USA).
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"abstract": "This paper aims to measure the efficiency of urban street networks (a kind of\ncomplex networks) from the perspective of the multidimensional chain of\nconnectivity (or flow). More specifically, we define two quantities: flow\ndimension and flow capacity, to characterize structures of urban street\nnetworks. To our surprise for the topologies of urban street networks,\npreviously confirmed as a form of small world and scale-free networks, we find\nthat (1) the range of their flow dimension is rather wider than their random\nand regular counterparts, (2) their flow dimension shows a power-law\ndistribution, and (3) they have a higher flow capacity than their random and\nregular counterparts. The findings confirm that (1) both the wider range of\nflow dimension and the higher flow capacity can be a signature of small world\nnetworks, and (2) the flow capacity can be an alternative quantity for\nmeasuring the efficiency of networks or that of the individual nodes. The\nfindings are illustrated using three urban street networks (two in the Europe\nand one in the USA).",
"arxiv_id": "physics/0609095",
"authors": [
"Bin Jiang"
],
"categories": [
"physics.data-an",
"physics.soc-ph"
],
"doi": "10.1016/j.physa.2008.02.047",
"journal_ref": "Physica A: Statistical Mechanics and its Applications, 2008,\n 387/16-17 pp 4440-4452",
"title": "The Flow Dimension and Capacity for Structuring Urban Street Networks",
"url": "https://arxiv.org/abs/physics/0609095"
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