14 citations · 54 across the 14 of their papers we have counts for
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cs.NI2013
Analyzing wireless communication network vulnerability with homological invariants
Michael Robinson
This article explains how sheaves and homology theory can be applied to simplicial complex models of wireless communication networks to study their vulnerability to jamming. It dev…
math.AT2013★ 6 cited
Understanding networks and their behaviors using sheaf theory
Michael Robinson
Many complicated network problems can be easily understood on small networks. Difficulties arise when small networks are combined into larger ones. Fortunately, the mathematical th…
math.AT2013★ 11 cited
The Nyquist theorem for cellular sheaves
Michael Robinson
We develop a unified sampling theory based on sheaves and show that the Shannon-Nyquist theorem is a cohomological consequence of an exact sequence of sheaves. Our theory indicates…