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didericis c6d4eb06fb coloring_nested_tire_graphs: remove complete tire dual definition and Tait correspondence
The complete tire dual D*(T) and Tait correspondence material was
giving exact counts but only via Tait colorings with XOR-to-0
conditions at high-degree vertices -- not proper edge colorings,
which was the original goal.  Removed:

- Definition 1.13 (Complete tire dual) and its figure.
- Proposition 1.14 (Tait correspondence on complete tire dual).
- Remark 1.15 (Tait construction).
- Remark 1.16 (octahedron verification).
- Tait1880 bibitem (no longer cited; the body-text mention of
  Tait's theorem in the introduction remains).
- experiments/draw_complete_tire_dual.py + its PNG.
- experiments/draw_tait_coloring_example.py + its PNG.
- fig_complete_tire_dual.png from the paper root.

The partial tire dual definition (Def 1.7), structure proposition
(Prop 1.8), figure, and associated scripts (tire_graph.py,
draw_partial_tire_dual.py) are retained.

Paper shrinks from 9 to 7 pages.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
2026-05-25 19:48:55 -04:00
..