4.7 Article

Network Coding and Matroid Theory

Journal

PROCEEDINGS OF THE IEEE
Volume 99, Issue 3, Pages 388-405

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JPROC.2010.2095490

Keywords

Capacity; flow; information theory; matroid; multicast; network coding; polymatroid

Funding

  1. Institute for Defense Analyses
  2. National Science Foundation
  3. Division of Computing and Communication Foundations
  4. Direct For Computer & Info Scie & Enginr [1018777] Funding Source: National Science Foundation

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Networks derived from matroids have played a fundamental role in proving theoretical results about the limits of network coding. In this tutorial paper, we review many connections between matroids and network coding theory, with specific emphasis on network solvability, admissible network alphabet sizes, linear coding, and network capacity.

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