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arXiv · 2312.09371

Uniformly resolvable decompositions of $K_v-I$ into $5$-stars

Jehyun Lee·Melissa Keranen
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Abstract

We consider the existence problem of uniformly resolvable decompositions of $K_v$ into subgraphs such that each resolution class contains only blocks isomorphic to the same graph. We give a complete solution for the case in which one resolution class is $K_2$ and the rest are $K_{1,5}$.

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Jehyun Lee, Melissa Keranen. 2023-12-14. Uniformly resolvable decompositions of $K_v-I$ into $5$-stars. https://arxiv.org/abs/2312.09371

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