Definitions of units (like other definitions) induce dependency graphs between the defined units. For instance, Wikipedia displays the following ones for the International System of Units (SI), before and after the 2019 redefinition:
My questions are:
- are there bigger examples of unit systems represented as such graphs?
- would it make sense to collect large sets of unit definitions for building such graphs?
- what kind of information may we expect from such representations?
- could we build similar dependency graphs for key concepts in (some areas of) mathematics, and then ask similar questions?
For instance, it seems to me that Euclid's Elements may lead to an interesting such graph, and colleagues already did much work on their proposition dependency graph.
I wonder if non-trivial isomorphic sub-graphs, particularly dense sub-graphs, or often repeated patterns (motifs), for instance, would have an interesting meaning in such graphs.
Sorry if this question is too broad.