didericis
df9411d2bd
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>
math-research
Personal mathematics research repository by Eric Bauerfeld. Papers are written in AMS-LaTeX using the amsart document class.
Papers
kempe_style_search_for_smaller_contradiction
Humans Suffice: A Novel Proof of the Four Color Theorem
An in-progress proof of the Four Color Theorem via a minimal counterexample argument. The paper builds on Kempe's 1879 strategy — establishing valid cases for vertices of degree ≤ 4, then extending the argument to the degree-5 case using properties of non-adjacent degree-5 vertices, merged subgraphs, and locked colorings.
plane_depth_labelling
Plane Depth Labelling
Early-stage paper. Title and author information set; content in progress.
Creating a New Paper
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./run.sh init_paper "Your Paper Title"
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Setup
The Python library code in lib/ requires SageMath. Run setup once per machine:
./run.sh setup <sage_python_path> <sage_site_packages> [system_name]
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Setup also compiles the plantri submodule via make.
Running Sage
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./run.sh sage <script.py> [args...]
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./run.sh sage
Linting
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Building
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latexmk -pdf paper.tex