## Problem 179 — rank:239

**Title:** Admixture-graph identifiability

**Added binding assumptions (LaTeX):**

```latex
Use the covariance of the measured contrast vector to define a dimensionless discrepancy, allowing for singularity and redundant statistics. Zero-length edges and zero admixture weights can identify distinct combinatorial graphs, so distinguish generic from global identifiability and quotient redundant graph representations. Additional populations or linkage summaries must enter a fully specified sampling model before claims about improved topology separation are made.
```

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