The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Network information flow
Abstract
We introduce a new class of problems called network information flow which is inspired by computer network applications. Consider a point-to-point communication network on which a number of information sources are to be multicast to certain sets of destinations. We assume that the information sources are mutually independent. The problem is to characterize the admissible coding rate region. This model subsumes all previously studied models along the same line. We study the problem with one information source, and we have obtained a simple characterization of the admissible coding rate region. Our result can be regarded as the max-flow min-cut theorem for network information flow. Contrary to one's intuition, our work reveals that it is in general not optimal to regard the information to be multicast as a "fluid" which can simply be routed or replicated. Rather, by employing coding at the nodes, which we refer to as network coding, bandwidth can in general be saved. This finding may have significant impact on future design of switching systems.
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Citations
Cites
Factor graphs and the sum-product algorithm
Kschischang, F. R., Frey, B. J., & Loeliger, H.-A. (2001) · IEEE Transactions on Information Theory · doi:10.1109/18.910572 · Cited by 6,486 · cited 1×
“Recently, there has been a lot of interest in factor graph [7], a graphical model which subsumes Markov random field, Bayesian network, and Tanner graph.”
Background
Cited by
Li, S.-Y. R., Yeung, R. W., & Cai, N. (2003) · IEEE Transactions on Information Theory · doi:10.1109/tit.2002.807285 · Cited by 3,378
Self-citationMaddah-Ali, M. A., & Niesen, U. (2014) · IEEE Transactions on Information Theory · doi:10.1109/tit.2014.2306938 · Cited by 1,726
Space-Air-Ground Integrated Network: A Survey
Liu, J., Shi, Y., Fadlullah, Z. M., & Kato, N. (2018) · IEEE Communications Surveys & Tutorials · doi:10.1109/comst.2018.2841996 · Cited by 1,281
Network coding for large scale content distribution
Gkantsidis, C., & Rodriguez, P. R. (2005) · Proceedings IEEE 24th Annual Joint Conference of the IEEE Computer and Communications Societies. · doi:10.1109/infcom.2005.1498511 · Cited by 1,051
Polynomial Time Algorithms for Multicast Network Code Construction
Jaggi, S., Sanders, P., Chou, P. A., Effros, M., Egner, S., Jain, K., & Tolhuizen, L. M. G. M. (2005) · IEEE Transactions on Information Theory · doi:10.1109/tit.2005.847712 · Cited by 940
Metadata
- Authors
- Ahlswede, R., Cai, N., Li, S.-Y. R., & Yeung, R. W.
- Venue
- IEEE Transactions on Information Theory
- Published
- 2000-07
- Volume
- 46
- Issue
- 4
- Pages
- 1204-1216
- ISSN
- 0018-9448 (ISSN-L)
- OpenAlex
- W2105831729
- Cited by
- 7,814
- References
- 1
- FWCI
- 19.62
- Type
- journal article
- Language
- en
- Open access
- closed
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- Ahlswede, R., Cai, N., Li, S.-Y. R., & Yeung, R. W. (2000). Network information flow. IEEE Transactions on Information Theory. https://doi.org/10.1109/18.850663
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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.
