AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (200.7 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Covering cross-polytopes with smaller homothetic copies

Feifei Chen, Shenghua Gao, Senlin Wu( )
School of Mathematics, North University of China, Taiyuan 030051, China
Show Author Information

Abstract

Let C n be an n-dimensional cross-polytope and Γ p ( C n ) be the smallest positive number γ such that C n can be covered by p translates of γ C n . We obtain better estimates of Γ 2 n ( C n ) for small n and a universal upper bound of Γ 2 n ( C n ) for all positive integers n.

Keywords

convex bodycovering functionalHadwiger's covering conjecturehomothetic copy
CLC number: 52A20, 52C17, 52A15

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 2,
February 2024
Pages 4014-4020
DOI: 10.3934/math.2024195

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Chen F, Gao S, Wu S. Covering cross-polytopes with smaller homothetic copies. AIMS Mathematics, 2024, 9(2): 4014-4020. https://doi.org/10.3934/math.2024195

2

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 30 November 2023
Revised: 08 January 2024
Accepted: 10 January 2024
Published: 15 February 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)