From 5675207ae031cc289ff292e43fc84015826865cc Mon Sep 17 00:00:00 2001 From: didericis Date: Fri, 22 May 2026 11:34:07 -0400 Subject: [PATCH] Write abstract and introduction around the constructive 4-coloring motivation Frame the paper's purpose: ask whether two constructive families of 4-colorable triangulations -- bridge-derived level graphs (parity 2-coloring) and intertwining trees (two trees, disjoint color pairs) -- suffice to generate every maximal planar graph on n vertices. An affirmative answer would be a constructive proof of the four color theorem for triangulations. State the duality bridge to Tait/Holton-McKay and the n=21 confirmation. Co-Authored-By: Claude Opus 4.7 --- papers/even_level_graph_generators/paper.aux | 56 ++++++------- papers/even_level_graph_generators/paper.log | 80 ++++++++++--------- papers/even_level_graph_generators/paper.pdf | Bin 1076840 -> 1093752 bytes papers/even_level_graph_generators/paper.tex | 76 ++++++++++++++++++ 4 files changed, 147 insertions(+), 65 deletions(-) diff --git a/papers/even_level_graph_generators/paper.aux b/papers/even_level_graph_generators/paper.aux index 03be82f..d8e08dc 100644 --- a/papers/even_level_graph_generators/paper.aux +++ b/papers/even_level_graph_generators/paper.aux @@ -17,40 +17,40 @@ \providecommand\HyField@AuxAddToFields[1]{} \providecommand\HyField@AuxAddToCoFields[2]{} \@writefile{toc}{\contentsline {section}{\tocsection {}{1}{Introduction}}{1}{section.1}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\tocsection {}{2}{Definitions}}{1}{section.2}\protected@file@percent } -\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces BFS levels from the degree-$3$ vertex source $S = \{4\}$. 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