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On the Solvability of Three-Pair Networks With Common Bottleneck Links

Abstract

Session We2A: Network Coding IIWe consider the solvability problem under network coding and derive a sufficient and necessary condition for 3-pair networks with common “bottleneck links” being solvable. We show that, for such networks: (1) the solvability can be determined in polynomial time; (2) being solvable is equivalent to being linear solvable; (3) finite fields of size 2 or 3 are sufficient to construct linear solutions.published_or_final_versio

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