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Borsuk's Problem in Metric Spaces
Jun Wang, Fei Xue, Chuanming Zong
In 1933, K. Borsuk proposed the following problem: Can every bounded set in be divided into subsets of smaller diameters? In 1965, V. G. Boltyanski and I. T. G…
math.MG2022
Lower Bounds on Lattice Covering Densities of Simplices
Miao Fu, Fei Xue, Chuanming Zong
This paper presents new lower bounds for the lattice covering densities of simplices by studying the Degree-Diameter Problem for abelian Cayley digraphs. In particular, it proves t…