4 Network Filtration
We’ve explored many ways to analyze network data by measuring geometric properties. In this chapter, we’ll introduce network filtration for weighted networks, which tracks geometric properties and network metrics over threshold values imposed on the network. Then we’ll examine how network data can be transformed into a higher-dimensional topological object called a simplicial complex, and we’ll explore higher-dimensional versions of the network metrics we’ve previously considered. From there, we’ll return to graph comparisons using a tool from topology related to filtrations.
Graph Filtration
In the previous chapters, ...
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