Work

Homothetic Covering of Crosspolytopes

Year: 2025

Type: article

Abstract: 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.

Source: Mathematics

DOI: 10.3390/math13040546

Authors: Yunfang Lyu, Feifei Chen, Senlin Wu

Institutions: Harbin University of Science and Technology, North University of China

Language: English

Topic: Point processes and geometric inequalities

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: National Natural Science Foundation of China