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Network Flows: Theory, Algorithms, and Applications.
Abstract
A comprehensive introduction to network flows that brings together the classic and the contemporary aspects of the field, and provides an integrative view of theory, algorithms, and applications. presents in-depth, self-contained treatments of shortest path, maximum flow, and minimum cost flow problems, including descriptions of polynomial-time algorithms for these core models. emphasizes powerful algorithmic strategies and analysis tools such as data scaling, geometric improvement arguments, and potential function arguments. provides an easy-to-understand descriptions of several important data structures, including d-heaps, Fibonacci heaps, and dynamic trees. devotes a special chapter to conducting empirical testing of algorithms. features over 150 applications of network flows to a variety of engineering, management, and scientific domains. contains extensive reference notes and illustrations.
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Citations
Cited by
The Structure and Function of Complex Networks
Newman, M. E. J. (2003) · SIAM Review · doi:10.1137/s003614450342480 · Cited by 18,719
Community structure in social and biological networks
Girvan, M., & Newman, M. E. J. (2002) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.122653799 · Cited by 15,502
Finding and evaluating community structure in networks
Newman, M. E. J., & Girvan, M. (2004) · Physical Review E · doi:10.1103/physreve.69.026113 · Cited by 13,931
Fortunato, S. (2010) · Physics Reports · doi:10.1016/j.physrep.2009.11.002 · Cited by 11,293
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
Metadata
- Authors
- Smith, D. K., Ahuja, R. K., Magnanti, T. L., & Orlin, J. B.
- Venue
- The Journal of the Operational Research Society
- Publisher
- JSTOR
- Published
- 1994-11
- Volume
- 45
- Issue
- 11
- Pages
- 1340
- ISSN
- 0160-5682 (ISSN-L)
- OpenAlex
- W1977545325
- Cited by
- 8,034
- References
- 0
- FWCI
- 96.98
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Network Flows: Theory, Algorithms, and Applications. https://app.cochat.ai/papers/10.2307/2583863
- The paper
- Smith, D. K., Ahuja, R. K., Magnanti, T. L., & Orlin, J. B. (1994). Network Flows: Theory, Algorithms, and Applications. The Journal of the Operational Research Society. https://doi.org/10.2307/2583863
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.