More Like this

1. Pressure–temperature route from disordered BCC to a 2 × 2 × 2 B2 superstructure

   https://doi.org/10.1038/s41598-025-33729-6  

   Sereika, Raimundas; Pope, Andrew_D; Knight, Caleb_M; Chakrabarty, Kallol; Vohra, Yogesh_K (December 2025, Scientific Reports)
2. A Construction of a 3/2‐Tough Plane Triangulation With No 2‐Factor

   https://doi.org/10.1002/jgt.23209  

   Shan, Songling (May 2025, Journal of Graph Theory)

   ABSTRACT In 1956, Tutte proved the celebrated theorem that every 4‐connected planar graph is Hamiltonian. This result implies that every more than ‐tough planar graph on at least three vertices is Hamiltonian and so has a 2‐factor. Owens in 1999 constructed non‐Hamiltonian maximal planar graphs of toughness arbitrarily close to and asked whether there exists a maximal non‐Hamiltonian planar graph of toughness exactly . In fact, the graphs Owens constructed do not even contain a 2‐factor. Thus the toughness of exactly is the only case left in asking the existence of 2‐factors in tough planar graphs. This question was also asked by Bauer, Broersma, and Schmeichel in a survey. In this paper, we close this gap by constructing a maximal ‐tough plane graph with no 2‐factor, answering the question asked by Owens as well as by Bauer, Broersma, and Schmeichel. 

   more » « less
3. 2 + 2 = 3: Making Ternary Phases through a Binary Approach

   https://doi.org/10.1021/acs.chemmater.1c04031  

   Justl, Andrew P.; Cerretti, Giacomo; Bux, Sabah K.; Kauzlarich, Susan M. (February 2022, Chemistry of Materials)
4. Self-assembly snapshots of a 2 × 2 copper(I) grid

   https://doi.org/10.1080/10610278.2013.872780  

   Manck, Lauren E.; Benson, Christopher R.; Share, Andrew I.; Park, Hyunsoo; Vander Griend, Douglas A.; Flood, Amar H. (March 2014, Supramolecular Chemistry)
5. A new SU(2) anomaly

   https://doi.org/10.1063/1.5082852  

   Wang, Juven; Wen, Xiao-Gang; Witten, Edward (May 2019, Journal of Mathematical Physics)