Add the freedom-positive counting balance to the constraint floor

Browse Source

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

Show all changes Ignore whitespace when comparing lines Ignore changes in amount of whitespace Ignore changes in whitespace at EOL

Download Patch File Download Diff File Expand all files Collapse all files

papers/heawood_restrictions_on_nested_tire_graph_duals/paper.pdf

BIN

Binary file not shown.