didericis
d3fc4bfc4c
Move Section 5 of "Medial Tire Decompositions of Plane Triangulations" into a new standalone paper, "The Medial Pigeonhole Programme", which cites the medial tire paper for its terminology and notation. Convert the three cross-references that pointed into earlier sections (annular teeth, bite-face-count, boundary medial vertices) into citations. Remove Section 5 from the medial tire paper and update its abstract to drop the moved chain-pigeonhole claim, pointing to the follow-up paper. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
29 lines
1.3 KiB
TeX
29 lines
1.3 KiB
TeX
\relax
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\citation{bauerfeld-medial-tire}
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\citation{bauerfeld-nested-tire-decompositions}
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\citation{bauerfeld-medial-tire}
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\citation{bauerfeld-medial-tire}
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\@writefile{toc}{\contentsline {section}{\tocsection {}{1}{Introduction}}{1}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {section}{\tocsection {}{2}{A medial pigeonhole programme}}{1}{}\protected@file@percent }
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\newlabel{def:medial-boundary-state}{{2.1}{2}}
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\newlabel{conj:medial-chain-pigeonhole}{{2.2}{2}}
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\newlabel{conj:medial-route-fct}{{2.3}{2}}
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\@writefile{toc}{\contentsline {section}{\tocsection {}{3}{Kempe-cycle conservation across medial tires}}{2}{}\protected@file@percent }
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\newlabel{lem:kempe-cycles}{{3.1}{2}}
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\citation{bauerfeld-medial-tire}
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\citation{bauerfeld-medial-tire}
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\citation{bauerfeld-medial-tire}
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\newlabel{lem:kempe-conservation}{{3.2}{3}}
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\newlabel{def:kempe-balanced}{{3.3}{3}}
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\newlabel{rem:kempe-balance-necessary}{{3.4}{3}}
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\bibcite{bauerfeld-medial-tire}{1}
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\bibcite{bauerfeld-nested-tire-decompositions}{2}
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\bibcite{tait-original}{3}
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\newlabel{tocindent-1}{0pt}
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\newlabel{tocindent0}{12.7778pt}
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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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\@writefile{toc}{\contentsline {section}{\tocsection {}{}{References}}{6}{}\protected@file@percent }
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\gdef \@abspage@last{6}
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