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arXiv · 2001.00037

Quasigraphs and skeletal partitions

Tomáš Kaiser·Petr Vrána
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Abstract

We give a new proof of the Skeletal Lemma, which is the main technical tool in our paper on Hamilton cycles in line graphs [T. Kaiser and P. Vrána, Hamilton cycles in 5-connected line graphs, European J. Combin. 33 (2012), 924-947]. It generalises results on disjoint spanning trees in graphs to the context of 3-hypergraphs. The lemma is proved in a slightly stronger version that is more suitable for applications. The proof is simplified and formulated in a more accessible way.

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Tomáš Kaiser, Petr Vrána. 2022-04-25. Quasigraphs and skeletal partitions. https://arxiv.org/abs/2001.00037

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