didericis
7183dc1b67
Defines level cycles, edge switches, surface switches, and facial depth on level components of plane triangulations. Proves outerplanarity of level components and a depth-descent lemma. Introduces balanced surface switches and proves they remove a depth-d level cycle while creating 1-2 new depth-(d-1) cycles. Documents the 9-vertex counterexample where no balanced switch exists and sketches preprocessing toward balancedness, leaving general termination open. Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
6 lines
1010 B
Plaintext
6 lines
1010 B
Plaintext
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