{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,11,19]],"date-time":"2024-11-19T19:14:07Z","timestamp":1732043647222,"version":"3.28.0"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"A subgraph of the $n$-dimensional hypercube is called 'layered' if it is a subgraph of a layer of some hypercube. In this paper we show that there exist subgraphs of the cube of arbitrarily large girth that are not layered. This answers a question of Axenovich, Martin and Winter. Perhaps surprisingly, these subgraphs may even be taken to be induced.<\/jats:p>","DOI":"10.37236\/12980","type":"journal-article","created":{"date-parts":[[2024,10,31]],"date-time":"2024-10-31T17:02:08Z","timestamp":1730394128000},"source":"Crossref","is-referenced-by-count":1,"title":["Layered Subgraphs of the Hypercube"],"prefix":"10.37236","volume":"31","author":[{"given":"Natalie","family":"Behague","sequence":"first","affiliation":[]},{"given":"Imre","family":"Leader","sequence":"additional","affiliation":[]},{"given":"Natasha","family":"Morrison","sequence":"additional","affiliation":[]},{"given":"Kada","family":"Williams","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2024,10,18]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v31i4p21\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v31i4p21\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,31]],"date-time":"2024-10-31T17:02:09Z","timestamp":1730394129000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v31i4p21"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,10,18]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2024,10,3]]}},"URL":"https:\/\/doi.org\/10.37236\/12980","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,10,18]]}}}