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arXiv · 2504.15148

Uniformly resolvable decompositions of $K_v$ into $1$-factors and odd $n$-star factors

Jehyun Lee·Melissa Keranen
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Abstract

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.

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Jehyun Lee, Melissa Keranen. 2025-04-21. Uniformly resolvable decompositions of $K_v$ into $1$-factors and odd $n$-star factors. https://arxiv.org/abs/2504.15148

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