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On 2- and 3-Factorizations of Complete 3-Uniform Hypergraphs of Order up to 9

Adams, P; El-Zanati, S; Florido, P; Turner, W. (January 2020, The Australasian journal of combinatorics)

A $$k$$-factorization of the complete $$t$$-uniform hypergraph $$K^{(t)}_{v}$$ is an $$H$$-decomposition of $$K^{(t)}_{v}$$ where $$H$$ is a $$k$$-regular spanning subhypergraph of $$K^{(t)}_{v}$$. We use nauty to generate the 2-regular and 3-regular spanning subhypergraphs of $$K^{(3)}_v$$ for $$v\leq 9$$ and investigate which of these subhypergraphs factorize $$K^{(3)}_v$$ or $$K^{(3)}_v-I$$, where $$I$$ is a 1-factor. We settle this question for all but two of these subhypergraphs.
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Extreme high-field superconductivity in thin Re films

https://doi.org/10.1103/PhysRevB.103.024504

Womack, F. N.; Young, D. P.; Browne, D. A.; Catelani, G.; Jiang, J.; Meletis, E. I.; Adams, P. W. (January 2021, Physical Review B)

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Fermi surface, possible unconventional fermions, and unusually robust resistive critical fields in the chiral-structured superconductor AuBe

https://doi.org/10.1103/PhysRevB.99.094517

Rebar, Drew J.; Birnbaum, Serena M.; Singleton, John; Khan, Mojammel; Ball, J. C.; Adams, P. W.; Chan, Julia Y.; Young, D. P.; Browne, Dana A.; DiTusa, J. F. (March 2019, Physical Review B)

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