didericis
b2eb7ef3cb
New paper "Dual Decomposition of Minimal Counterexamples" outlining a six-step cut-and-recombine attack on the 4CT via the dual cubic graph: minimal counterexample -> dualise -> minimum (cyclic) edge cut -> cap to cubic -> 3-edge-colour the pieces -> reconnect. Strategy section flags steps 1-5 as standard machinery and step 6 (recombination) as the crux. Step 1 written in full: reduction to triangulations, definition of the minimal counterexample, minimum-degree >= 5 (degree <=3 and degree-4 Kempe cases), and no separating triangle => 4-connected. 5-connectivity stated as Birkhoff's separating-4-cycle reduction (attributed, not re-derived). Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
21 lines
1.3 KiB
TeX
21 lines
1.3 KiB
TeX
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