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Add the freedom-positive counting balance to the constraint floor

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Remark: a disk with k interior vertices has 2k+n-2 faces (Euler) but only
k interior constraints, so each interior vertex adds two degrees of
freedom against one constraint -- depth is freedom-positive and Phi can
only retain or enlarge below the interior-free floor 2^(n-2). Motivates
the lower bound and replaces the prior TODO sketch.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
This commit is contained in:
didericis
2026-06-17 02:24:04 -04:00
parent b70ea2c087
commit 1d981b4d01
4 changed files with 56 additions and 43 deletions
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papers/heawood_restrictions_on_nested_tire_graph_duals/paper.log
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