Homothetic Covering of Crosspolytopes
The exact value of Γm(K), which is the least positive number γ such that a convex body K can be covered by m translates of γK, is usually difficult to obtain. We present exact values of Γ14(B13), Γ11(B14), Γ2n(B1n), Γ2n+1(B1n), and Γ2n+2(B1n), where B1n is the unit ball of Rn endowed with the taxicab norm.
Authors
- Senlin Wu (ORCID: https://orcid.org/0000-0003-2499-2836)
- Feifei Chen (ORCID: https://orcid.org/0000-0001-5455-3792)
- Yunfang Lyu (ORCID: https://orcid.org/0009-0007-1809-1448)
Institutions
- Harbin University of Science and Technology (CN)
- North University of China (CN)
Publication Details
- Journal
- Mathematics
- Published
- 2025-02-07
- DOI
- https://doi.org/10.3390/math13040546
- Citations
- 1
- Primary Topic
- Point processes and geometric inequalities
- Type
- article
- Field-Weighted Citation Impact
- 3.73
Funders
- National Natural Science Foundation of China