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- W4367367553 abstract "The study of existence of hamiltonian cycles and factors in graphs in terms of toughness was initiated by Chv'atal in 1973 and has been a popular topic since then. The study of Berge cycles and factor in hypergraphs has attracted quite a bit attention in recent years and much progress has been made in terms of conditions such as degrees. In this article, we propose to study toughness conditions for a hypergraph to have a Berge $k$-factor. Our main result is that every $k$-tough hypergraph $H$ has a Berge $k$-factor if $kcdot |V(H)|$ is even and $|V(H)|ge k+1$ for integer $kge 1$. This extends a similar result on graphs from 1985 by Enomoto, Jackson, Keterinis, and Saito." @default.
- W4367367553 created "2023-04-30" @default.
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- W4367367553 date "2023-04-27" @default.
- W4367367553 modified "2023-10-18" @default.
- W4367367553 title "Toughness and the existence of $k$-factors in hypergraphs" @default.
- W4367367553 doi "https://doi.org/10.48550/arxiv.2304.14172" @default.
- W4367367553 hasPublicationYear "2023" @default.
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