Understanding networks and their behaviors using sheaf theory
arXiv:1308.4621
Abstract
Many complicated network problems can be easily understood on small networks. Difficulties arise when small networks are combined into larger ones. Fortunately, the mathematical theory of sheaves was constructed to address just this kind of situation; it extends locally-defined structures to globally valid inferences by way of consistency relations. This paper exhibits examples in network monitoring and filter hardware where sheaves have useful descriptive power.
4 pages, 1 figure, appearing in GlobalSIP 2013