Splits the old Definition 1.15 (which combined the annular dual
subgraph and the partial tire facial dual) into two separate
definitions:
Definition 1.15 (Annular dual subgraph):
G'_ann := G'[{d_f : f ∈ F_ann}], with planar embedding inherited
from G'. Renamed from T'_ann to G'_ann (since it's an induced
subgraph of G', not of T).
Definition 1.16 (Partial tire facial dual):
T'_{f'} := closed G'-neighborhood of V(f') with every G'-edge
incident to V(f'), for f' a face of G'_ann.
Updates all references in paper.tex and in the Figure 5 caption /
figure title; regenerates fig_facial_dual_choices.png.
Paper stays at 10 pages.
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
didericis
1e683db60d