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math-research/papers
didericis df9411d2bd papers: move Definition 1.7 (partial tire dual) to dual paper
REMOVED from coloring_nested_tire_graphs/:
  - Definition 1.7 (Partial tire dual)
  - Figure 3 (partial tire dual example)
  - Figure 4 (partial tire dual bridge case)
  - fig_partial_tire_dual.png file
  - fig_partial_tire_dual_bridge.png file
  - Abstract no longer mentions partial tire dual

Foundational paper now ends at Remark 1.6 (tire face/edge counts).
Down from 5 to 3 pages.

ADDED to coloring_nested_tire_dual_graphs/:
  - Definition (Partial tire dual) — now numbered 1.1 in this paper
  - Figure: partial tire dual example
  - Figure: partial tire dual bridge case
  - Both PNG figure files

Inserted before the structure proposition (former 1.1, now 1.2).
Intro citation list removes the bullet for partial tire dual since
it's now defined locally. The definition's internal ref to
Definition~\ref{def:tire-graph} becomes
\cite[Definition~1.5]{bauerfeld-nested-tires}.

The two figure captions updated to reference
prop:partial-tire-dual-structure locally (instead of citing the
companion paper as if it owned the definition).

Paper grows from 8 to 9 pages.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
2026-05-27 00:57:31 -04:00
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