251c453437
Define a +/-1 Heawood face-labelling of a tire, its induced boundary Heawood sequences and restriction relation, and interface compatibility (0<->0, +1<->-1 = vertex face-sum vanishes mod 3). State the Heawood chain-pigeonhole conjecture and a tire route to the Four Colour Theorem, parallel to the medial programme. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
35 lines
1.4 KiB
TeX
35 lines
1.4 KiB
TeX
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\citation{bauerfeld-nested-tires}
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\citation{bauerfeld-nested-tires}
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\citation{bauerfeld-nested-tires}
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\citation{bauerfeld-nested-tires}
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\citation{bauerfeld-nested-tires}
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\citation{bauerfeld-nested-tires}
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\citation{Heawood1898}
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\citation{bauerfeld-medial-tires}
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\citation{bauerfeld-nested-tires}
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\citation{bauerfeld-nested-tires}
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\newlabel{sec:heawood-restrictions}{{2}{2}}
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\newlabel{def:heawood-compatible}{{2.4}{2}}
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\bibcite{Heawood1898}{1}
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\bibcite{bauerfeld-depth}{2}
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\bibcite{bauerfeld-nested-tires}{3}
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\bibcite{bauerfeld-medial-tires}{4}
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\bibcite{bauerfeld-nested-tire-duals}{5}
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