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docs: pin the eight-neighbor proof citation
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‎CITATION.md‎

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## 署名与版本 / Attribution and versions
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作者使用公开署名 **OccamGC**。[CITATION.cff](CITATION.cff)描述整个仓库;引用某项数学结论时,请使用下方对应研究笔记的条目,并注明实际使用的版本。四邻接的三次方界与补树障碍引用研究提交 `640ae4ac52a1ce5a3082022162611839f97591fe`;仅对角邻接拓展引用自己的提交 `3fe652bb9f3458ed41071e5f2377141272848dbc`。这些研究版本均发布于 2026-10-12,链接分别固定到包含该成果的证明版本。
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作者使用公开署名 **OccamGC**。[CITATION.cff](CITATION.cff)描述整个仓库;引用某项数学结论时,请使用下方对应研究笔记的条目,并注明实际使用的版本。四邻接的三次方界与补树障碍引用研究提交 `640ae4ac52a1ce5a3082022162611839f97591fe`;仅对角邻接拓展引用自己的提交 `3fe652bb9f3458ed41071e5f2377141272848dbc`;八邻接拓展引用 `4d73b14e9b307412dd037bfa2f7bbe72543f36bc`。这些研究版本均发布于 2026-10-12,链接分别固定到包含该成果的证明版本。
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The public author name is **OccamGC**. [CITATION.cff](CITATION.cff) describes the whole repository. For a particular mathematical result, use its separate research-note entry below and identify the version actually used. The orthogonal cubic bound and tree obstructions cite research commit `640ae4ac52a1ce5a3082022162611839f97591fe`; the diagonal-only extension cites its own commit `3fe652bb9f3458ed41071e5f2377141272848dbc`. These research versions were published on 2026-10-12, with immutable links to versions that contain the respective results.
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The public author name is **OccamGC**. [CITATION.cff](CITATION.cff) describes the whole repository. For a particular mathematical result, use its separate research-note entry below and identify the version actually used. The orthogonal cubic bound and tree obstructions cite research commit `640ae4ac52a1ce5a3082022162611839f97591fe`; the diagonal-only extension cites `3fe652bb9f3458ed41071e5f2377141272848dbc`; the eight-neighbor extension cites `4d73b14e9b307412dd037bfa2f7bbe72543f36bc`. These research versions were published on 2026-10-12, with immutable links to versions that contain the respective results.
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入口页及默认分支会继续维护;以下固定链接不会随默认分支变化。条目类型为公开研究笔记,不表示期刊或会议发表。程序复核记录是辅助证据,不替代文字证明。
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url = {https://github.com/OccamGC/MyAlgorithmProblems/blob/3fe652bb9f3458ed41071e5f2377141272848dbc/topics/simulation/grid-forest-matching/research/results/diagonal-only.en.md}
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}
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```
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## 八邻接拓展 / Eight-neighbor extension
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OccamGC. (2026). *Eight-neighbor induced forests retain the cubic bound*. MyAlgorithmProblems, research note, commit `4d73b14`.
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本项沿用原完整历史收费证明,将方向词从两对扩为四对互逆符号,保留有限第二轴引理、相同检查次数上界和条带最坏下界。其固定版本包含中英文证明、八邻接验证器及 881 个完整收费实例的报告;它不建立八邻接的补树障碍。
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This result extends the original complete-history charge from two to four inverse direction pairs, preserving the finite second-axis lemma, exact check bound, and stripe worst-case lower bound. Its snapshot includes bilingual proofs, the eight-neighbor verifier, and a report with 881 complete-charge cases. It does not establish eight-neighbor tree-extension obstructions.
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[当前中文证明](topics/simulation/grid-forest-matching/research/results/eight-neighbor.zh.md) · [Current English proof](topics/simulation/grid-forest-matching/research/results/eight-neighbor.en.md) · [固定中文证明](https://github.com/OccamGC/MyAlgorithmProblems/blob/4d73b14e9b307412dd037bfa2f7bbe72543f36bc/topics/simulation/grid-forest-matching/research/results/eight-neighbor.zh.md) · [Versioned English proof](https://github.com/OccamGC/MyAlgorithmProblems/blob/4d73b14e9b307412dd037bfa2f7bbe72543f36bc/topics/simulation/grid-forest-matching/research/results/eight-neighbor.en.md)
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```bibtex
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@misc{OccamGC2026EightNeighborGridForest,
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author = {{OccamGC}},
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title = {Eight-neighbor induced forests retain the cubic bound},
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year = {2026},
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month = oct,
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howpublished = {MyAlgorithmProblems research note},
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note = {Published 2026-10-12. Git commit 4d73b14e9b307412dd037bfa2f7bbe72543f36bc. Extension of the complete-history cubic charging proof},
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url = {https://github.com/OccamGC/MyAlgorithmProblems/blob/4d73b14e9b307412dd037bfa2f7bbe72543f36bc/topics/simulation/grid-forest-matching/research/results/eight-neighbor.en.md}
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}
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```

‎research-index.json‎

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"commands": ["python topics/simulation/grid-forest-matching/research/verify_eight_neighbor.py --output tmp/grid-forest-matching/eight-neighbor-results.json"]
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},
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"citation_key": "OccamGC2026EightNeighborGridForest",
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"publication_commit": "4d73b14e9b307412dd037bfa2f7bbe72543f36bc",
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"immutable_proof_url": "https://github.com/OccamGC/MyAlgorithmProblems/blob/4d73b14e9b307412dd037bfa2f7bbe72543f36bc/topics/simulation/grid-forest-matching/research/results/eight-neighbor.en.md",
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"extends": ["grid-forest-matching-cubic-bound"],
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"related_results": ["grid-forest-matching-diagonal-only"]
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},

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