{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:10:38Z","timestamp":1753884638551,"version":"3.41.2"},"reference-count":14,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","funder":[{"DOI":"10.13039\/100009555","name":"Henan Normal University","doi-asserted-by":"publisher","award":["2023023"],"award-info":[{"award-number":["2023023"]}],"id":[{"id":"10.13039\/100009555","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Inter. Net."],"published-print":{"date-parts":[[2025,9]]},"abstract":"<jats:p> The augmented [Formula: see text]-ary [Formula: see text]-cube [Formula: see text] is a recently proposed interconnection network that combines the structural characteristics of [Formula: see text]-ary [Formula: see text]-cube [Formula: see text] and augmented cube [Formula: see text], with better features. In this paper, we investigate the Hamiltonian properties of augmented [Formula: see text]-ary [Formula: see text]-cubes. We prove that the augmented [Formula: see text]-ary [Formula: see text]-cube with any [Formula: see text] (resp. [Formula: see text]) faulty edges admits a fault-free Hamilton cycle (resp. Hamilton path). <\/jats:p>","DOI":"10.1142\/s0219265924500191","type":"journal-article","created":{"date-parts":[[2024,10,7]],"date-time":"2024-10-07T08:39:39Z","timestamp":1728290379000},"source":"Crossref","is-referenced-by-count":0,"title":["Hamiltonian Properties of Augmented k-Ary n-Cubes with Faulty Edges"],"prefix":"10.1142","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0009-0006-9609-230X","authenticated-orcid":false,"given":"Xiaolei","family":"Ma","sequence":"first","affiliation":[{"name":"College of Computer and Information Engineering, Henan Normal University, Xinxiang, Henan 453007, P. R. China"},{"name":"Key Laboratory of Artificial Intelligence and Personalized Learning in Education of Henan Province, Xinxiang, Henan, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2024,10,5]]},"reference":[{"key":"S0219265924500191BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-84628-970-5"},{"key":"S0219265924500191BIB003","doi-asserted-by":"publisher","DOI":"10.1002\/net.10033"},{"issue":"1","key":"S0219265924500191BIB004","first-page":"1","volume":"57","author":"Haring R.","year":"2013","journal-title":"Ibm Journal of Research and Development"},{"issue":"3","key":"S0219265924500191BIB005","first-page":"11","volume":"1","author":"Hoshur R.","year":"2012","journal-title":"Transactions on Combinatorics"},{"key":"S0219265924500191BIB006","doi-asserted-by":"publisher","DOI":"10.1137\/0211056"},{"key":"S0219265924500191BIB007","doi-asserted-by":"publisher","DOI":"10.1109\/CMPCON.1993.289660"},{"key":"S0219265924500191BIB008","doi-asserted-by":"publisher","DOI":"10.1142\/S0129054120500148"},{"key":"S0219265924500191BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-3975(00)00130-4"},{"key":"S0219265924500191BIB010","doi-asserted-by":"publisher","DOI":"10.1109\/TPDS.2007.70787"},{"key":"S0219265924500191BIB011","first-page":"74","volume-title":"Proceedings of Workshop on Algorithms and Theory of Computation ICS","author":"Tsai C.-H.","year":"2000"},{"key":"S0219265924500191BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2010.09.005"},{"key":"S0219265924500191BIB013","doi-asserted-by":"publisher","DOI":"10.1109\/ICPADS.2009.45"},{"key":"S0219265924500191BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpdc.2005.10.004"},{"key":"S0219265924500191BIB015","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2013.04.002"}],"container-title":["Journal of Interconnection Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219265924500191","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,1]],"date-time":"2025-05-01T00:24:41Z","timestamp":1746059081000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0219265924500191"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,10,5]]},"references-count":14,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2025,9]]}},"alternative-id":["10.1142\/S0219265924500191"],"URL":"https:\/\/doi.org\/10.1142\/s0219265924500191","relation":{},"ISSN":["0219-2659","1793-6713"],"issn-type":[{"type":"print","value":"0219-2659"},{"type":"electronic","value":"1793-6713"}],"subject":[],"published":{"date-parts":[[2024,10,5]]},"article-number":"2450019"}}