didericis
389fd56f07
Removes the "Further necessary properties of a minimal counterexample" framing section and the "Edge-deletion subgraphs" section (definition, 4-colorability theorem, Kempe-chain structure theorem). The intended empirical follow-up on this material did not produce a useful discriminator, so the development is being shelved. Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
17 lines
1.1 KiB
TeX
17 lines
1.1 KiB
TeX
\relax
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\@writefile{toc}{\contentsline {section}{\tocsection {}{1}{Motivation}}{1}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {section}{\tocsection {}{2}{Preliminaries}}{1}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {section}{\tocsection {}{3}{Flip-symmetric maximal planar graphs}}{1}{}\protected@file@percent }
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\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces An edge flip replaces the diagonal $uv$ of the quadrilateral $uwvx$ with the diagonal $wx$.}}{2}{}\protected@file@percent }
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\newlabel{def:flip-symmetric}{{3.1}{2}}
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\@writefile{toc}{\contentsline {section}{\tocsection {}{4}{A minimal four-colorable counterexample}}{2}{}\protected@file@percent }
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\newlabel{thm:min-five-chromatic-not-flip-symmetric}{{4.1}{2}}
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\@writefile{toc}{\contentsline {section}{\tocsection {}{5}{Flip symmetry frequency}}{2}{}\protected@file@percent }
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\newlabel{sec:frequency}{{5}{2}}
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\newlabel{tocindent-1}{0pt}
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\newlabel{tocindent0}{0pt}
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\newlabel{tocindent1}{17.77782pt}
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\newlabel{tocindent2}{0pt}
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\newlabel{tocindent3}{0pt}
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\gdef \@abspage@last{3}
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