{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T15:49:10Z","timestamp":1761752950892,"version":"build-2065373602"},"reference-count":0,"publisher":"University of Calgary","issue":"2","license":[{"start":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T00:00:00Z","timestamp":1761609600000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nd\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Contrib Discrete Math"],"abstract":"<jats:p>Let $\\gamma^d_m(K)$ be the smallest positive number $\\lambda$ such that the convex body $K$ can be covered by $m$ translates of $\\lambda K$. Let $K^d$ be the $d$-dimensional crosspolytope. It will be proved that $\\gamma^d_m(K^d)=1$ for $1\\le m&lt; 2d$, $d\\ge4$; $\\gamma^d_m(K^d)=\\frac{d-1}{d}$ for $m=2d,2d+1,2d+2$, $d\\ge4$; $\\gamma^d_m(K^d)=\\frac{d-1}{d}$ for $ m= 2d+3$, $d=4,5$; $\\gamma^d_m(K^d)=\\frac{2d-3}{2d-1}$ for $ m= 2d+4$, $d=4$ and $\\gamma^d_m(K^d)\\le\\frac{2d-3}{2d-1}$ for $ m= 2d+4$, $d\\ge5$. Moreover the Hadwiger\u2019s covering conjecture is verified for the $d$-dimensional crosspolytope.<\/jats:p>","DOI":"10.55016\/ojs\/cdm.v20i2.77509","type":"journal-article","created":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T15:45:18Z","timestamp":1761752718000},"page":"300-310","source":"Crossref","is-referenced-by-count":0,"title":["Covering the crosspolytope with crosspolytopes"],"prefix":"10.55016","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1738-4314","authenticated-orcid":false,"given":"Antal","family":"Jo\u00f3s","sequence":"first","affiliation":[]}],"member":"13844","published-online":{"date-parts":[[2025,10,28]]},"container-title":["Contributions to Discrete Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/cdm.ucalgary.ca\/article\/download\/77509\/58520","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/cdm.ucalgary.ca\/article\/download\/77509\/58520","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T15:45:19Z","timestamp":1761752719000},"score":1,"resource":{"primary":{"URL":"https:\/\/cdm.ucalgary.ca\/article\/view\/77509"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,10,28]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2025,10,28]]}},"URL":"https:\/\/doi.org\/10.55016\/ojs\/cdm.v20i2.77509","relation":{},"ISSN":["1715-0868"],"issn-type":[{"value":"1715-0868","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,10,28]]}}}