SOURCE-ONLY QUALIFIED SUBTREE NOTE
Scott Schubr - October 18, 2026
Compile manuscript/main.tex using Tectonic or a current LaTeX distribution.
The complete analytic proof requires no executable verification or data files.
The theorem concerns uniform nonempty subtree subgraphs of labeled complete
graphs, singleton trees included. The final journal predecessor text was not
obtained for comparison; no priority over results established there is claimed.
This is the same source as the sealed qualified full package, not a separate work.
No license grant or external human refereeing is implied.
