didericis
646cf9d12f
Define a connected tire cluster (union of same-depth tires joined by shared vertices, transitive closure), prove same-depth tires meet only in vertices, and prove every vertex lies in at most two clusters (one at each of two consecutive depths) -- the bounded coarsening of the unbounded per-vertex tire count. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
44 lines
1.8 KiB
TeX
44 lines
1.8 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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\citation{bauerfeld-nested-tires}
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\newlabel{sec:tire-clusters}{{2}{2}}
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\citation{bauerfeld-nested-tires}
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\citation{bauerfeld-nested-tires}
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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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