Sheaf cohomology on network codings: maxflow-mincut theorem

Miradain Atontsa Nguemo, Calvin Tcheka

Abstract

Surveying briefly a novel algebraic topological application sheaf theory into directed network coding
problems, we obtain the weak duality in multiple source scenario by
using the idea of modified graph. Furthermore,we establish the
maxflow-mincut theorem with network coding sheaves in the case of multiple source.


Keywords

network information flow; network coding sheaves; topological cut; relative sheaf cohomology.

Subject classification

18F20; 18G25; 68M10.

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References

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Universitat Politècnica de València

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