didericis
db245eecea
- Promote Prop 3.1 (outerplanarity of level subgraphs) to Theorem 3.1 with a proof by contradiction via a BFS-path argument; drop the $n \leq 10$ caveat and the now-resolved open question. - Add Section 5 "An edge-flip resolution algorithm": apex classification of $L_k$-edges, bridge lemma, cross-level flip pass, definition of tricky-everywhere odd cycles and facial depth (seeded from inner faces with $\geq 2$ outer-face edges), and the depth-guided flip procedure. Observation 5.5 records empirical termination at $n = 9, 10, 11$; Question 5.6 asks if it holds in general. - Add experiments/depth_monovariant_check.py (sanity check over triangulation iso-classes, confirms the count-of-tricky-faces monovariant strictly decreases per flip on all 1400 tricky configs at $n \leq 11$), viz_cycling.py and debug_cycling.py, and cycling_visualization.png illustrating the depth-definition fix. Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
66 lines
4.4 KiB
TeX
66 lines
4.4 KiB
TeX
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