didericis
076137baaa
The unrestricted census suggested flip-symmetry already excludes a vanishing fraction of maximal planar graphs; this commit re-runs the same enumeration over the minimum-degree-5 subclass (where any minimum-order 5-chromatic counterexample must live) to check whether the restriction tightens the bound. It does not: the density decays to zero there as well, only at a gentler geometric rate (~0.63 per step instead of ~0.5). Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
17 lines
1.1 KiB
TeX
17 lines
1.1 KiB
TeX
\relax
|
|
\@writefile{toc}{\contentsline {section}{\tocsection {}{1}{Motivation}}{1}{}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {section}{\tocsection {}{2}{Preliminaries}}{1}{}\protected@file@percent }
|
|
\@writefile{toc}{\contentsline {section}{\tocsection {}{3}{Flip-symmetric maximal planar graphs}}{1}{}\protected@file@percent }
|
|
\@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 }
|
|
\newlabel{def:flip-symmetric}{{3.1}{2}}
|
|
\@writefile{toc}{\contentsline {section}{\tocsection {}{4}{A minimal four-colorable counterexample}}{2}{}\protected@file@percent }
|
|
\newlabel{thm:min-five-chromatic-not-flip-symmetric}{{4.1}{2}}
|
|
\@writefile{toc}{\contentsline {section}{\tocsection {}{5}{Flip symmetry frequency}}{2}{}\protected@file@percent }
|
|
\newlabel{sec:frequency}{{5}{2}}
|
|
\newlabel{tocindent-1}{0pt}
|
|
\newlabel{tocindent0}{0pt}
|
|
\newlabel{tocindent1}{17.77782pt}
|
|
\newlabel{tocindent2}{0pt}
|
|
\newlabel{tocindent3}{0pt}
|
|
\gdef \@abspage@last{3}
|