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math-research/papers
didericis e212ada649 coloring_nested_tire_graphs: add figure of partial tire dual
Adds fig_partial_tire_dual.png next to Definition 1.7 (Partial tire
dual), illustrating the corona-graph structure C_{n+m} ∘ K_1 from
Proposition 1.8 on a concrete m=6, k=4 spoke-only tire.

Drawing details:
- d_f interior vertices (purple squares) at centroids of annular
  triangles; the 10 of them form a 10-cycle (solid purple edges).
- B_out leaves (orange diamonds) placed outside B_out; the leaf edge
  is dashed orange.
- B_in leaves placed on the central-hole side of each red edge, at
  a fixed small offset past the midpoint of the edge in the
  d_f -> midpoint direction.  This positions each leaf edge to
  cross its red edge exactly at the midpoint while keeping the leaf
  vertex itself inside the central hole and off the border.

Generator: experiments/draw_partial_tire_dual.py (also committed).

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
2026-05-25 18:37:19 -04:00
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