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even_level: title/abstract/intro -- frame conjecture as stronger than the 4CT

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Retitle to "Even Level Graph Generators: a constructive conjecture
stronger than the Four Color Theorem" and state explicitly in the
abstract and introduction that the conjecture implies the four color
theorem but is strictly stronger: a 4-coloring grouped {1,2}|{3,4} is
exactly a partition into two bipartite-inducing parts, so 4CT is the bare
existence of such a partition, whereas the conjecture demands it be
realized constructively (bridge-switch level parity, or two induced
trees). Hence a proof is a new constructive proof of 4CT, and the
conjecture is at least as hard -- very likely harder.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
This commit is contained in:
didericis
2026-05-22 16:22:15 -04:00
parent b45c3d5510
commit 09b91e889b
4 changed files with 76 additions and 65 deletions
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papers/even_level_graph_generators/paper.log
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\OT1/cmr/m/n/10 where $\OML/cmm/m/it/10 s\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 G\OT
1/cmr/m/n/10 )$ is the num-ber of valid sources of $\OML/cmm/m/it/10 G$\OT1/cmr
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\OT1/cmr/m/n/10 mor-phism; \OT1/cmr/m/it/10 flag-rooted ELGs \OT1/cmr/m/n/10 is
the automorphism-free count
[]
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Output written on paper.pdf (10 pages, 1236887 bytes).
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