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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.05666 |
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| _version_ | 1866914115908272128 |
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| author | Nguyen, Tuan Nguyen, Thi Tran, Thu |
| author_facet | Nguyen, Tuan Nguyen, Thi Tran, Thu |
| contents | We construct a left-compressed family F(n, k, G) generated by a collection of generating sets G, and identify conditions on G under which F(n, k, G) is an intersecting family. From this, we obtain a convenient method to construct left-compressed intersecting families. After that, we provide some comparisons between the theorem of Bond and our result. Finally, we present some results on the generators of a maximal left-compressed intersecting family. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_05666 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On generating sets of left-compressed intersecting families Nguyen, Tuan Nguyen, Thi Tran, Thu Combinatorics We construct a left-compressed family F(n, k, G) generated by a collection of generating sets G, and identify conditions on G under which F(n, k, G) is an intersecting family. From this, we obtain a convenient method to construct left-compressed intersecting families. After that, we provide some comparisons between the theorem of Bond and our result. Finally, we present some results on the generators of a maximal left-compressed intersecting family. |
| title | On generating sets of left-compressed intersecting families |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2510.05666 |