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20172022
most citedOn Hadwiger's covering functional for the simplex and the cross-polytope

2 citations · 4 across the 5 of their papers we have counts for

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3 papers · 1 filter

math.MG2022★ 1 cited

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★ 1 cited

Borsuk's partition problem in four-dimensional space

Jun Wang, Fei Xue

In 1933, Borsuk made a conjecture that every -dimensional bounded set can be divided into subsets of smaller diameter. Up to now, the problem is still open for $4\leq n\le…

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…