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[Live Demo](https://huggingface.co/spaces/linxy/RamseyGraph)
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本仓库托管了一些与经典 **拉姆齐数(Ramsey Number)**
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| 一个 6 结点的 Ramsey(4, 4) 图及其补图 |
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- Ramsey(4,4;3)-超图
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- **Ramsey(4,4;3) 超图** 是一个 3-均匀超图,不能包含 4-顶点的完全子图,也不能包含 4-顶点的完全独立集。**Steve Butler** 和 **Aaron Wootton** 在 2010 年发现了 42 个这样的超图,每个都有 13 个顶点。
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## Huggingface datasets
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本仓库的数据集已经发布到了 [Huggingface datasets (https://huggingface.co/datasets/linxy/RamseyGraph)](https://huggingface.co/datasets/linxy/RamseyGraph)。你可以使用以下代码安装:
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```bash
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pip install datasets
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```
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```python
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>>> from datasets import load_dataset
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>>> dataset = load_dataset("linxy/RamseyGraph", "r44_3", trust_remote_code=True)
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>>> for i in dataset["train"]:
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>>> print(i)
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{'edges': [], 'num_nodes': 3}
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{'edges': [[1, 2]], 'num_nodes': 3}
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{'edges': [[0, 2], [1, 2]], 'num_nodes': 3}
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{'edges': [[0, 1], [0, 2], [1, 2]], 'num_nodes': 3}
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```
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`r44_3` 指 Ramsey(4,4) 图中 3 个顶点的图。以下是所有数据集的名称:
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```python
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['r34_1', 'r34_2', 'r34_3', 'r34_4', 'r34_5', 'r34_6', 'r34_7', 'r34_8',
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'r35_1', 'r35_2', 'r35_3', 'r35_4', 'r35_5', 'r35_6', 'r35_7', 'r35_8', 'r35_9', 'r35_10', 'r35_11', 'r35_12', 'r35_13',
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'r36_1', 'r36_2', 'r36_3', 'r36_4', 'r36_5', 'r36_6', 'r36_7', 'r36_8', 'r36_9', 'r36_10', 'r36_11', 'r36_12', 'r36_13', 'r36_14', 'r36_15', 'r36_16', 'r36_17',
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'r37_21', 'r37_22',
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'r38_27',
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'r39_35',
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'r44_1', 'r44_2', 'r44_3', 'r44_4', 'r44_5', 'r44_6', 'r44_7', 'r44_8', 'r44_9', 'r44_10', 'r44_11', 'r44_12', 'r44_13', 'r44_14', 'r44_15', 'r44_16', 'r44_17',
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'r45_24',
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'r46_35some',
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'r55_42some']
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```
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## Thanks
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[Live Demo](https://huggingface.co/spaces/linxy/RamseyGraph)
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本仓库托管了一些与经典 **拉姆齐数(Ramsey Number)** 相关的图。同时发布到 [Huggingface datasets (linxy/RamseyGraph)](https://huggingface.co/datasets/linxy/RamseyGraph)。你可以使用以下代码获取:
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```bash
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pip install datasets
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```
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```python
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>>> from datasets import load_dataset
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>>> dataset = load_dataset("linxy/RamseyGraph", "r44_3", trust_remote_code=True)
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>>> for i in dataset["train"]:
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>>> print(i)
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{'edges': [], 'num_nodes': 3}
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{'edges': [[1, 2]], 'num_nodes': 3}
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{'edges': [[0, 2], [1, 2]], 'num_nodes': 3}
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{'edges': [[0, 1], [0, 2], [1, 2]], 'num_nodes': 3}
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```
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`r44_3` 指 Ramsey(4,4) 图中 3 个顶点的图。以下是所有数据集的名称:
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```python
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['r34_1', 'r34_2', 'r34_3', 'r34_4', 'r34_5', 'r34_6', 'r34_7', 'r34_8',
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'r35_1', 'r35_2', 'r35_3', 'r35_4', 'r35_5', 'r35_6', 'r35_7', 'r35_8', 'r35_9', 'r35_10', 'r35_11', 'r35_12', 'r35_13',
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'r36_1', 'r36_2', 'r36_3', 'r36_4', 'r36_5', 'r36_6', 'r36_7', 'r36_8', 'r36_9', 'r36_10', 'r36_11', 'r36_12', 'r36_13', 'r36_14', 'r36_15', 'r36_16', 'r36_17',
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'r37_21', 'r37_22',
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'r38_27',
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'r39_35',
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'r44_1', 'r44_2', 'r44_3', 'r44_4', 'r44_5', 'r44_6', 'r44_7', 'r44_8', 'r44_9', 'r44_10', 'r44_11', 'r44_12', 'r44_13', 'r44_14', 'r44_15', 'r44_16', 'r44_17',
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'r45_24',
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'r46_35some',
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'r55_42some']
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```
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# 介绍
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| 一个 6 结点的 Ramsey(4, 4) 图及其补图 |
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| --------------- |
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- Ramsey(4,4;3)-超图
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- **Ramsey(4,4;3) 超图** 是一个 3-均匀超图,不能包含 4-顶点的完全子图,也不能包含 4-顶点的完全独立集。**Steve Butler** 和 **Aaron Wootton** 在 2010 年发现了 42 个这样的超图,每个都有 13 个顶点。
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## Thanks
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