Scaling laws in the spatial structure of urban road networks
Open accessThe claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Real-world spaces are segmented by physical barriers that yield various substructures or regions.
“Real-world spaces are segmented by physical barriers that yield various substructures or regions 41,[130][131][132][133] .”
From From cognitive maps to spatial schemas (2023) · cites this paper as [41]
These statistical commonalities of mobility patterns characterize the underlying structure of a city and navigational behaviours, and provide support for the notion of a spatial schema for an environment with key elements that can be generalized to other environments that belong to a superordinate category.
“Given that these statistical commonalities of mobility patterns characterize the underlying structure of a city 41,43 and navigational behaviours 34,117,178,179 , they provide support for the notion of a spatial schema for an environment with key elements that can be generalized to other environments that belong to a superordinate category 159 .”
From From cognitive maps to spatial schemas (2023) · cites this paper as [41]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Collective dynamics of ‘small-world’ networks
Watts, D. J., & Strogatz, S. H. (1998) · Nature · doi:10.1038/30918 · Cited by 43,060 · see citing works
Emergence of Scaling in Random Networks
Barabási, A.-L., & Albert, R. (1999) · Science · doi:10.1126/science.286.5439.509 · Cited by 36,135 · see citing works
Statistical mechanics of complex networks
Albert, R., & Barabási, A.-L. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.47 · Cited by 20,471 · see citing works
Cellular solids structure and properties
Gibson, L. J., Ashby, M. F., et al. (1997) · Cited by 9,042 · see citing works
Cellular solids: Structure and properties
Wolcott, M. P. (1990) · Materials Science and Engineering A · doi:10.1016/0921-5093(90)90295-e · Cited by 5,962 · see citing works
Assortative Mixing in Networks
Newman, M. E. J. (2002) · Physical Review Letters · doi:10.1103/physrevlett.89.208701 · Cited by 5,034 · see citing works
Brown, J. H., & West, G. B. (2000) · Medical Entomology and Zoology · Cited by 455 · see citing works
Modelling the evolution of human trail systems
Helbing, D., Keltsch, J., & Molnár, P. (1997) · Nature · doi:10.1038/40353 · Cited by 302 · see citing works
Self-citationModelling the evolution of human trail systems
Helbing, D., Keltsch, J., & Molnár, P. (n.d.) · RePEc: Research Papers in Economics · Cited by 283 · see citing works
Self-citationA Structural Approach to the Model Generalization of an Urban Street Network*
Jiang, B., & Claramunt, C. (2004) · GeoInformatica · doi:10.1023/b:gein.0000017746.44824.70 · Cited by 274 · see citing works
Efficiency and robustness in ant networks of galleries
Buhl, C., Jacques Gautrais, A., Solé, R. V., Kuntz, P., Valverde, S., Deneubourg, J. L., & Guy Theraulaz, A. (2004) · The European Physical Journal B · doi:10.1140/epjb/e2004-00364-9 · Cited by 145 · see citing works
The emergence of hierarchy in transportation networks
Yerra, B., & Levinson, D. M. (2005) · The Annals of Regional Science · doi:10.1007/s00168-005-0230-4 · Cited by 120 · see citing works
Energy laws in human travel behaviour
Kölbl, R., & Helbing, D. (2003) · New Journal of Physics · doi:10.1088/1367-2630/5/1/348 · Cited by 95 · see citing works
Self-citationFractal–small-world dichotomy in real-world networks
Cśanyi, G., & Szendröi, B. (2004) · Physical Review E · doi:10.1103/physreve.70.016122 · Cited by 77 · see citing works
Batty, M. (1997) · Nature · doi:10.1038/40266 · Cited by 76 · see citing works
Topological correlations in cellular structures and planar graph theory
Godrèche, C., Kostov, I. K., & Yekutieli, I. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2674 · Cited by 65 · see citing works
The Network Analysis of Urban Streets: A Primal ApproachPreprint
Porta, S., Crucitti, P., & Latora, V. (2005) · arXiv (Cornell University) · doi:10.48550/arxiv.physics/0506009
Flagged first, then by citations
Research works printed but not linked: 4
- [4][4] P. Crucitti, V. Latora, S. Porta (physics/0504163). - · arXiv
- [5][5] M. Gastner, M. Newman (cond-mat/0407680). - · arXiv
- [13][13] U. Brandes, T. Erlebach, Networks Analysis, Springer, Berlin, 2005. -
- [14][14] L. da F. Costa, F.A. Rodrigues, G. Travieso, P.R. Villas Boas [cond-mat/0505185]. - · arXiv
Cited by
Sorted by citations
Elementary processes governing the evolution of road networks
Strano, E., Nicosia, V., Latora, V., Porta, S., & Barthélemy, M. (2012) · Scientific Reports · doi:10.1038/srep00296 · Cited by 321 · see citing works
Louf, R., & Barthelemy, M. (2014) · Journal of The Royal Society Interface · doi:10.1098/rsif.2014.0924 · Cited by 181 · see citing works
Urban Street Networks, a Comparative Analysis of Ten European Cities
Strano, E., Viana, M., da Fontoura Costa, L., Cardillo, A., Porta, S., & Latora, V. (2013) · Environment and Planning B: Planning and Design · doi:10.1068/b38216 · Cited by 121 · see citing works
From cognitive maps to spatial schemas
Farzanfar, D., Spiers, H. J., Moscovitch, M., & Rosenbaum, R. S. (2023) · Nature Reviews Neuroscience · doi:10.1038/s41583-022-00655-9 · Cited by 115 · see citing works
- Authors
- Lämmer, S., Gehlsen, B., & Helbing, D.
- Affiliations
- Technische Universität Dresden (DE)
- Collegium Budapest (HU)
- Corresponding author
- Lämmer, Stefan
- ORCID
- Helbing, Dirk
- Venue
- Physica A: Statistical Mechanics and its Applications
- Publisher
- Elsevier BV
- Published
- 2006-04
- Volume
- 363
- Issue
- 1
- Pages
- 89-95
- ISSN
- 0378-4371 (ISSN-L)
- OpenAlex
- W1971231593
- Cited by
- 388
- References
- 17
- Citations by year
- 2026: 7 · 2025: 17 · 2024: 14 · 2023: 15 · 2022: 29 · 2021: 17 · 2020: 31 · 2019: 28 · 2018: 23 · 2017: 32 · 2016: 10 · 2015: 29 · 2014: 30 · 2013: 25 · 2012: 19
- FWCI
- 33.94
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physica A Statistical Mechanics and its Applications (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Deutsche Forschungsgemeinschaft
- Topics
- Physical Sciences › Engineering › Building and Construction › Urban Design and Spatial Analysis
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Complex Network Analysis Techniques
- Social Sciences › Transportation › Transportation Planning and Optimization
- Keywords
- urban road networks, scaling laws, travel time, effective dimension, road hierarchy, scale invariance, metric spaces, German cities
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
