Uniformly resolvable decompositions of $K_v$ into $1$-factors and odd $n$-star factors
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908329445425152 |
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| author | Lee, Jehyun Keranen, Melissa |
| author_facet | Lee, Jehyun Keranen, Melissa |
| contents | We consider uniformly resolvable decompositions of $K_v$ into subgraphs such that each resolution class contains only blocks isomorphic to the same graph. We give a partial solution for the case in which all resolution classes are either $K_2$ or $K_{1,n}$ where $n$ is odd. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15148 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uniformly resolvable decompositions of $K_v$ into $1$-factors and odd $n$-star factors Lee, Jehyun Keranen, Melissa Combinatorics Group Theory We consider uniformly resolvable decompositions of $K_v$ into subgraphs such that each resolution class contains only blocks isomorphic to the same graph. We give a partial solution for the case in which all resolution classes are either $K_2$ or $K_{1,n}$ where $n$ is odd. |
| title | Uniformly resolvable decompositions of $K_v$ into $1$-factors and odd $n$-star factors |
| topic | Combinatorics Group Theory |
| url | https://arxiv.org/abs/2504.15148 |