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Modelling the air transport with complex networks: A short review
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“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)
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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
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)
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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
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