Network Coding Capacity With a Constrained Number of Coding Nodes

  • Authors:
  • J. Cannons;K. Zeger

  • Affiliations:
  • Dept. of Electr. & Comput. Eng., Univ. of California, San Diego, La Jolla, CA;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2008

Quantified Score

Hi-index 754.90

Visualization

Abstract

We study network coding capacity under a constraint on the total number of network nodes that can perform coding. That is, only a certain number of network nodes can produce coded outputs, whereas the remaining nodes are limited to performing routing. We prove that every nonnegative, monotonically nondecreasing, eventually constant, rational-valued function on the nonnegative integers is equal to the capacity as a function of the number of allowable coding nodes of some directed acyclic network.