NEW PAPER: papers/coloring_nested_tire_graphs/ ("Coloring Nested
Tire Graphs", 5 pages).
Contains foundational definitions 1.1 through 1.7 from the dual
paper, plus the four illustrative figures:
- 1.1 Level source
- 1.2 Levels
- 1.3 Dual (with label def:dual added — was missing in original)
- 1.4 Dual depth
- 1.5 Tire graph
- 1.6 Remark (tire counts)
- 1.7 Partial tire dual
Also: the dual-depth figure, the tire-example figure, and both
partial-tire-dual figures (vanilla + bridge case).
MODIFIED: papers/coloring_nested_tire_dual_graphs/paper.tex now a
follow-up:
- Abstract recasts the paper as building on the foundational paper.
- Intro no longer recapitulates definitions; lists them as
citations to the new paper.
- Removes definitions 1.1-1.7 and their figures (now in
foundational paper).
- Internal \ref{...} to removed labels converted to
\cite[Definition N.M]{bauerfeld-nested-tires}.
- Bibliography adds the new paper as a reference.
- Renumbering: theorems/propositions now start at 1.1 (formerly
1.8). Paper down from 14 to 8 pages.
Both papers compile cleanly with no broken references.
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
didericis
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