{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T08:09:41Z","timestamp":1775462981978,"version":"3.50.1"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We define the infinite-dimensional hypercube graph $H_{{\\aleph}_{0}}$ as\u00a0a graph whose vertex set is formed by the so-called singular subsets of ${\\mathbb Z}\\setminus\\{0\\}$.\u00a0This graph is not connected, but it has isomorphic connected components.\u00a0We show that the restrictions of its automorphisms\u00a0to the connected components\u00a0 are induced by permutations on ${\\mathbb Z}\\setminus\\{0\\}$ preserving\u00a0the family of singular subsets. As an application, we describe the automorphism group of the connected components.<\/jats:p>","DOI":"10.37236\/2749","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T03:11:35Z","timestamp":1578712295000},"source":"Crossref","is-referenced-by-count":1,"title":["A Note on Automorphisms of the Infinite-Dimensional Hypercube Graph"],"prefix":"10.37236","volume":"19","author":[{"given":"Mark","family":"Pankov","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2012,11,8]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i4p23\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i4p23\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T22:23:01Z","timestamp":1579299781000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v19i4p23"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,11,8]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2012,10,18]]}},"URL":"https:\/\/doi.org\/10.37236\/2749","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,11,8]]},"article-number":"P23"}}