The DOI matches its Crossref record; 74 of the 76 references it cites were found in a registry or an index.
Modelling the air transport with complex networks: A short review
Open accessOverview
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.
Integrity signals
Registry
Cites
Statistics
Verification
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?
The source backs part of the claim, not all of it — or backs it for a different population, condition or comparison.
In the citing paper
“the theory of complex networks has played a crucial role in the aviation system in the last two decades, facilitating the efficiency and safety of air travel, particularly in the context of identifying key components and improving air transport resilience; see Zanin and Lillo (2013) ; Zanin and Wandelt (2023) for reviews.”
From Status quo and challenges in air transport management research (2024) · cites this paper as Zanin and Lillo (2013)
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Lecture Notes in Computer Science 1205
(1999) · Industrial Robot the international journal of robotics research and application · doi:10.1108/ir.1999.04926fae.001 · Cited by 39,228
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
Complex brain networks: graph theoretical analysis of structural and functional systems
Bullmore, E., & Sporns, O. (2009) · Nature Reviews Neuroscience · doi:10.1038/nrn2575 · Cited by 11,820
Complex networks: structure and dynamics
BOCCALETTI, S., LATORA, V, MORENO, Y., CHAVEZ, M., & HWANG, D. (2006) · Physics Reports · doi:10.1016/j.physrep.2005.10.009 · Cited by 11,010
A set of measures of centrality based upon betweenness
Freeman, L. (1977) · Sociometry · doi:10.2307/3033543 · Cited by 10,557
Error and attack tolerance of complex networks
Albert, R., Jeong, H., & Barabási, A.-L. (2000) · Nature · doi:10.1038/35019019 · Cited by 7,534
Error and attack tolerance of complex networksPreprint
Albert, R., Jeong, H., & Barabási, A.-Ĺ. (2000) · Cited by 6,554
Diameter of the World-Wide Web
Albert, R., Jeong, H., & Barabási, A.-Ĺ. (1999) · Nature · doi:10.1038/43601 · Cited by 4,240
The architecture of complex weighted networks.
Barrat, A., Barthelemy, M., Pastor-Satorras, R., & Vespignani, A. (2003) · Proceedings of the National Academy of Sciences of the United States of America · doi:10.1073/pnas.0400087101 · Cited by 4,084
Traffic and related self-driven many-particle systems
Helbing, D. (2001) · Reviews of Modern Physics · doi:10.1103/revmodphys.73.1067 · Cited by 3,285
Characterization of complex networks: A survey of measurements
Costa, L. D. F., Rodrigues, F. A., Travieso, G., & Villas-Boas, P. R. (2007) · Advances In Physics · doi:10.1080/00018730601170527 · Cited by 2,513
Newman, M. E. J. (2004) · Physical Review E · doi:10.1103/physreve.70.056131 · Cited by 2,483
Scale-Free Networks: A Decade and Beyond
Barabási, A.-Ĺ. (2009) · Science · doi:10.1126/science.1173299 · Cited by 2,138
Organization, development and function of complex brain networks
SPORNS, O., CHIALVO, D., KAISER, M., & HILGETAG, C. (2004) · Trends in Cognitive Sciences · doi:10.1016/j.tics.2004.07.008 · Cited by 2,055
Guimerà, R., Mossa, S., Turtschi, A., & Amaral, L. A. N. (2005) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0407994102 · Cited by 1,772
Dynamical and Correlation Properties of the Internet
Pastor‐Satorras, R., Vázquez, A., & Vespignani, A. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.258701 · Cited by 1,473
Farell, F. (2014) · European Union regulations | European Encyclopedia of law · Cited by 1,391
The web of human sexual contacts
Liljeros, F., Edling, C., Amaral, L. A. N., Stanley, E., & Åberg, Y. (2001) · RePEc: Research Papers in Economics · Cited by 1,389
The web of human sexual contacts
Liljeros, F., Edling, C. R., Amaral, L. A. N., Stanley, H. E., & Åberg, Y. (2001) · Nature · doi:10.1038/35082140 · Cited by 1,319
Vittoria Colizza, A., Barrat, A., Barthélemy, M., & Vespignani, A. (2006) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0510525103 · Cited by 1,154
The Network Analysis of Urban Streets: A Primal Approach
Porta, S., Crucitti, P., & Latora, V. (2006) · Environment and Planning B Planning and Design · doi:10.1068/b32045 · Cited by 870
Analyzing and modeling real-world phenomena with complex networks: a survey of applications
Costa, L. D. F., Oliveira, O. N., Travieso, G., Rodrigues, F. A., Villas-Boas, P. R., Antiqueira, L., Viana, M. P., & Rocha, L. E. C. (2011) · Advances In Physics · doi:10.1080/00018732.2011.572452 · Cited by 839
Economic small-world behavior in weighted networks
Latora, V., & Marchiori, M. (2002) · The European Physical Journal B · doi:10.1140/epjb/e2003-00095-5 · Cited by 791
The network analysis of urban streets: A dual approach
Porta, S., Crucitti, P., & Latora, V. (2006) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/j.physa.2005.12.063 · Cited by 749
Centrality measures in spatial networks of urban streets
Crucitti, P., Latora, V., & Porta, S. (2006) · Physical Review E · doi:10.1103/physreve.73.036125 · Cited by 734
Small-world properties of the Indian railway network
Sen, P., Dasgupta, S., Chatterjee, A., Sreeram, P. A., Mukherjee, G., & Manna, S. S. (2003) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.67.036106 · Cited by 602
Subnets of scale-free networks are not scale-free: Sampling properties of networks
Stumpf, M. P. H., Wiuf, C., & May, R. M. (2005) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0501179102 · Cited by 562
Is the Boston subway a small-world network?
Latora, V., & Massimo Marchiori, B. (2002) · Physica A Statistical Mechanics and its Applications · doi:10.1016/s0378-4371(02)01089-0 · Cited by 530
Wang, J., Mo, H., Wang, F., & Jin, F. (2010) · Journal of Transport Geography · doi:10.1016/j.jtrangeo.2010.08.012 · Cited by 521
Analysis of the airport network of India as a complex weighted network
Bagler, G. (2008) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2008.01.077 · Cited by 481
Is the Boston Subway a Small-World Network?Preprint
Latora, V., & Massimo Marchiori, B. (2002) · Cited by 467
Statistical analysis of airport network of China
Li, W., & Cai, X. (2004) · Physical Review E · doi:10.1103/physreve.69.046106 · Cited by 464
Kurant, M., & Thiran, P. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.138701 · Cited by 411
Adamic, L. A. (1999) · Lecture notes in computer science · doi:10.1007/3-540-48155-9_27 · Cited by 404
The hub network design problem
O’Kelly, M. E., & Miller, H. J. (1994) · Journal of Transport Geography · doi:10.1016/0966-6923(94)90032-9 · Cited by 330
An analysis of European low-cost airlines and their networks
Dobruszkes, F. (2005) · Journal of Transport Geography · doi:10.1016/j.jtrangeo.2005.08.005 · Cited by 304
Large subway systems as complex networks
Angeloudis, P., & Fisk, D. (2005) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2005.11.007 · Cited by 246
Temporal configurations of European airline networks
Burghouwt, G., & de Wit, J. G. (2004) · Journal of Air Transport Management · doi:10.1016/j.jairtraman.2004.08.003 · Cited by 192
Evolution of Chinese airport network
Zhang, J., Cao, X., Du, W., & Cai, K. (2010) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2010.05.042 · Cited by 185
Topology of the Italian airport network: A scale-free small-world network with a fractal structure?
Guida, M., & Maria, F. (2006) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2006.02.007 · Cited by 172
Connectivity of the European airport network: “Self-help hubbing” and business implications
Malighetti, P., Paleari, S., & Redondi, R. (2008) · Journal of Air Transport Management · doi:10.1016/j.jairtraman.2007.10.003 · Cited by 160
Xu, Z., & Harriss, R. C. (2008) · GeoJournal · doi:10.1007/s10708-008-9173-5 · Cited by 155
Resilience Engineering in Practice
Pariès, J., & Wreathall, J. (2017) · CRC Press eBooks · doi:10.1201/9781317065265 · Cited by 143
The effects of spatial constraints on the evolution of weighted complex networks
Barrat, A., Barthélemy, M., & Vespignani, A. (2005) · HAL · Cited by 141
The Geography of Deregulation in the U.S. Airline Industry
Goetz, A. R., & Sutton, C. J. (1997) · Annals of the Association of American Geographers · doi:10.1111/0004-5608.872052 · Cited by 139
Structural Properties of US Flight Network
Li-Ping, C., Wang, R., Su, H., Xinping, X., Jin-Song, Z., Li, W., & Xu, C. (2003) · Chinese Physics Letters · doi:10.1088/0256-307x/20/8/362 · Cited by 133
The evolution of the European aviation network, 1990–1998
Burghouwt, G., & Hakfoort, J. (2001) · Journal of Air Transport Management · doi:10.1016/s0969-6997(01)00024-2 · Cited by 131
The effects of spatial constraints on the evolution of weighted complex networks
Barrat, A., Barthélemy, M., & Vespignani, A. (2005) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2005/05/p05003 · Cited by 130
Assessment of New Hub‐and‐Spoke and Point‐to‐Point Airline Network Configurations
Alderighi, M., Cento, A., Nijkamp, P. J., & Rietveld, P. (2007) · Transport Reviews · doi:10.1080/01441640701322552 · Cited by 123
The vulnerability of the European air traffic network to spatial hazards
Wilkinson, S. M., Dunn, S., & Ma, S. (2011) · Natural Hazards · doi:10.1007/s11069-011-9885-6 · Cited by 119
Debunking some common myths about airport hubs
Button, K. J. (2002) · Journal of Air Transport Management · doi:10.1016/s0969-6997(02)00002-9 · Cited by 106
Analysis of the Chinese air route network as a complex network
Cai, K., Zhang, J., Du, W., & Cao, X. (2012) · Chinese Physics B · doi:10.1088/1674-1056/21/2/028903 · Cited by 95
Structural evolution of the Brazilian airport network
Rocha, L. E. C. (2009) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2009/04/p04020 · Cited by 94
The 2010 Volcanic Ash Cloud and Its Financial Impact on the European Airline Industry
Mazzocchi, M., Hansstein, F., & Ragona, M. (2010) · RePEc: Research Papers in Economics · Cited by 93
U.S. Air Passenger Service: a Taxonomy of Route Networks, Hub Locations, and Competition
Bania, N., Bauer, P. W., & Zlatoper, T. J. (1998) · Transportation Research Part E Logistics and Transportation Review · doi:10.1016/s1366-5545(97)00037-9 · Cited by 75
Eruption of Eyjafjallajökull in Iceland
Bolić, T., & Sivčev, Ź. (2011) · Transportation Research Record Journal of the Transportation Research Board · doi:10.3141/2214-17 · Cited by 68
Jamming transition in air transportation networks
Lacasa, L., Cea, M., & Zanin, M. (2009) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2009.06.005 · Cited by 67
Self-citationJin, F., Wang, F., & Liu, Y. (2004) · The Professional Geographer · doi:10.1111/j.0033-0124.2004.00442.x · Cited by 63
Optimal paths in complex networks with correlated weights: The worldwide airport network
Wu, Z., Braunstein, L. A., Vittoria Colizza, A., Reuven Cohen, C., Havlin, S., & Stanley, E. (2006) · Physical Review E · doi:10.1103/physreve.74.056104 · Cited by 61
The hierarchical‐hub model for airline networks
Chou, Y. (1990) · Transportation Planning and Technology · doi:10.1080/03081069008717429 · Cited by 54
China's Air Passenger Transport: An Analysis of Recent Trends
Wang, J., & Jin, F. (2007) · Eurasian Geography and Economics · doi:10.2747/1538-7216.48.4.469 · Cited by 47
STRUCTURAL CHANGES CAUSED BY ERROR AND ATTACK TOLERANCE IN US AIRPORT NETWORK
CHI, L. P., & Cai, X. (2004) · International Journal of Modern Physics B · doi:10.1142/s0217979204025427 · Cited by 46
Network topology and correlation features affiliated with European airline companies
Han, D., Qian, J.-H., & Liu, J. (2008) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2008.09.021 · Cited by 43
Identifying China’s leading world city: a network approach
Ma, X., & Timberlake, M. (2008) · GeoJournal · doi:10.1007/s10708-008-9146-8 · Cited by 41
Internet topology at the router and autonomous system levelPreprint
Vázquez, A., Pastor‐Satorras, R., & Vespignani, A. (2002) · arXiv (Cornell University) · doi:10.48550/arxiv.cond-mat/0206084 · Cited by 41
Dynamics in scheduled networks
Zanin, M., Lacasa, L., & Cea, M. (2009) · Chaos An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/1.3129785 · Cited by 22
Self-citationInterconnecting bilayer networks
Xu, X.-L., Qu, Y.-Q., Guan, S., Jiang, Y.-M., & He, D.-R. (2011) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/93/68002 · Cited by 20
Deregulating European aviation ? A case study
Barrett, S. (1990) · Transportation · doi:10.1007/bf00145964 · Cited by 20
BELENREY, M. (2003) · Journal of Air Transport Management · doi:10.1016/s0969-6997(02)00097-2 · Cited by 18
Analysis of Centrality Measures of Airport Network of India
Sapre, M., & Parekh, N. (2011) · Lecture notes in computer science · doi:10.1007/978-3-642-21786-9_61 · Cited by 15
Disorder and decision cost in spatial networks
Zanin, M., Buldú, J. M., Cano, P., & Boccaletti, S. (2008) · Chaos An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/1.2901916 · Cited by 11
Self-citationCoupling and Complexity of Interaction of STCA Networks
Lillo, F., Pozzi, S., Tedeschi, A., Ferrara, G., Matrella, G., Lieutaud, F., Lucat, B., & Licu, A. (2009) · Nova Science Publishers (Nova Science Publishers, Inc.) · Cited by 10
Self-citationNetwork Topology of the Austrian Airline FlightsPreprint
Han, D., Qian, J. H., & Liu, J. G. (2007) · arXiv (Cornell University) · doi:10.48550/arxiv.physics/0703193 · Cited by 7
Empirical study on some interconnecting bilayer networksPreprint
Qu, Y.-Q., Xu, X.-L., Guan, S., Li, K., Pan, S.-J., Gu, C.-G., Jiang, Y., & He, D.-R. (2010) · arXiv (Cornell University) · doi:10.48550/arxiv.1010.2572 · Cited by 1
Research works printed but not linked: 8
- M. Mazzocchi, F. Hansstein, M. Ragona, CESifo Forum 11, 92 (2010)
- P. Sen, S. Dasgupta, A. Chatterjee, P.A. Sreeram, G. Mukherjee, S.S. Manna [arXiv:cond-mat/0208535v2] · arXiv
- N. Pyrgiotis, K.M. Malone, A. Odoni, Transportation Research Part C (in press)
- J. Quartieri, M. Guida, C. Guarnaccia, S. D’Ambrosio, D. Guadagnuolo, Int. J. Math. Mod. Meth. Appl. Sci. 2, 312 (2008)
- P. Erdös, A. Rényi, Publ. Math. Inst. Hung. Acad. Sci. 5, 17 (1960)
- F. Lillo, S. Miccichè, R.N. Mantegna, V. Beato, S. Pozzi, ELSA Project: Toward a complex network approach to ATM delays analysis, Proceedings on the INO 2011 Conference (Toulouse, France, 2011)
- J. Berechman, J. de Wit, J. Transp. Econom. Polit. 3, 251 (1996)
- O. Betancor, J. Campos, Proceedings of the 1997 Air Transport Research Group (ATRG) of the WCTR Society (1997)
Cited by
Sorted by citations
The structure and dynamics of multilayer networks
Boccaletti, S., Bianconi, G., Criado, R., del Genio, C. I., Gómez-Gardeñes, J., Romance, M., Sendiña-Nadal, I., Wang, Z., & Zanin, M. (2014) · Physics Reports · doi:10.1016/j.physrep.2014.07.001 · Cited by 3,125
Self-citationThe structure and dynamics of multilayer networksPreprint
Wangk, Z., & Zaninm, M. (2016) · Cited by 3,001
Human mobility: Models and applications
Barbosa, H., Barthélemy, M., Ghoshal, G., James, C. R., Lenormand, M., Louail, T., de Menezes, R. P., Ramasco, J. J., Simini, F., & Tomasini, M. (2018) · Physics Reports · doi:10.1016/j.physrep.2018.01.001 · Cited by 1,104
Robustness of the air transport network
Lordan, O., Sallan, J. M., Simó, P., & Gonzalez-Prieto, D. (2014) · Transportation Research Part E Logistics and Transportation Review · doi:10.1016/j.tre.2014.05.011 · Cited by 209
Combining complex networks and data mining: Why and how
Zanin, M., Papo, D., Sousa, P. A., Menasalvas, E., Nicchi, A., Kubik, E., & Boccaletti, S. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.04.005 · Cited by 193
Self-citation
Metadata
- Authors
- Zanin, M., & Lillo, F.
- Affiliations
- Innaxis Foundation & Research Institute (ES)
- Santa Fe Institute (US)
- Corresponding author
- Zanin, Massimiliano
- Lillo, Fabrizio
- Venue
- The European Physical Journal Special Topics
- Published
- 2013-01
- Volume
- 215
- Issue
- 1
- Pages
- 5-21
- ISSN
- 1951-6355 (ISSN-L)
- 1951-6401
- OpenAlex
- W2023841300
- Cited by
- 277
- References
- 76
- Citations by year
- 2026: 20 · 2025: 15 · 2024: 17 · 2023: 22 · 2022: 18 · 2021: 34 · 2020: 28 · 2019: 20 · 2018: 22 · 2017: 20 · 2016: 21 · 2015: 21 · 2014: 15 · 2013: 3
- FWCI
- 14.23
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- The European Physical Journal Special Topics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Springer Link (Chiba Institute of Technology) (submittedVersion)
- Nova Science Publishers (Nova Science Publishers, Inc.) (submittedVersion, other-oa)
- Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna) (submittedVersion)
- Scuola Normale Superiore di Pisa (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Complex Network Analysis Techniques
- Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Complex Systems and Time Series Analysis
- Social Sciences › Urban Studies › Global Urban Networks and Dynamics
- Keywords
- air transport networks, complex networks, airport networks, flight networks, network topology, network dynamics, epidemic spread
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