{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T08:53:36Z","timestamp":1773651216296,"version":"3.50.1"},"reference-count":23,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","funder":[{"name":"Mathematical Tianyuan Foundation of China","award":["12126317"],"award-info":[{"award-number":["12126317"]}]},{"name":"Fundamental Research Funds for the Universities of Henan Province","award":["NSFRF240316"],"award-info":[{"award-number":["NSFRF240316"]}]},{"name":"Young Core Teacher Foundation of Henan Polytechnic University","award":["2023XQG-11"],"award-info":[{"award-number":["2023XQG-11"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Found. Comput. Sci."],"published-print":{"date-parts":[[2026,4]]},"abstract":"<jats:p>Let G be a connected graph. The k-regular edge cut F of G is a subset of [Formula: see text] such that [Formula: see text] is disconnected and each component is k-regular. The k-regular edge connectivity of G, denoted as [Formula: see text], is the minimum cardinality of a k-regular edge cut in G. It is a generalization of traditional connectivity, which has better fault tolerability. In this paper, we determine the k-regular edge connectivity of three categories of graphs, which are pancake graph [Formula: see text], burnt pancake graph [Formula: see text] and godan graph [Formula: see text]. Moreover, [Formula: see text] for [Formula: see text] ([Formula: see text]), [Formula: see text] for [Formula: see text] ([Formula: see text]) and [Formula: see text] for [Formula: see text] ([Formula: see text]) are shown.<\/jats:p>","DOI":"10.1142\/s0129054125500157","type":"journal-article","created":{"date-parts":[[2025,6,20]],"date-time":"2025-06-20T11:24:21Z","timestamp":1750418661000},"page":"413-427","source":"Crossref","is-referenced-by-count":0,"title":["The\n                    <i>k<\/i>\n                    -Regular Edge Connectivity of Three Types of Regular Graphs"],"prefix":"10.1142","volume":"37","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0046-4692","authenticated-orcid":false,"given":"Li","family":"Wang","sequence":"first","affiliation":[{"name":"School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, P. R. China"}]},{"ORCID":"https:\/\/orcid.org\/0009-0007-9934-0505","authenticated-orcid":false,"given":"Liqing","family":"Lin","sequence":"additional","affiliation":[{"name":"School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, P. R. China"}]},{"ORCID":"https:\/\/orcid.org\/0009-0008-3644-7054","authenticated-orcid":false,"given":"Yanxia","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2025,6,20]]},"reference":[{"key":"S0129054125500157BIB001","doi-asserted-by":"publisher","DOI":"10.1002\/net.3230130303"},{"key":"S0129054125500157BIB002","first-page":"1","volume":"2","author":"Chartrand G.","year":"1984","journal-title":"Bull. Bombay Math. Colloq."},{"issue":"2","key":"S0129054125500157BIB003","first-page":"71","volume":"9","author":"Sampathkumar E.","year":"1984","journal-title":"J. Comb. Inf. Syst. Sci."},{"key":"S0129054125500157BIB004","first-page":"199","volume":"39","author":"Cozzens M. B.","year":"1995","journal-title":"Ars Combinatoria"},{"key":"S0129054125500157BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(94)00369-T"},{"key":"S0129054125500157BIB006","doi-asserted-by":"publisher","DOI":"10.1515\/mgmc-2022-0014"},{"issue":"4","key":"S0129054125500157BIB007","first-page":"193","volume":"8","author":"Xue C.","year":"2023","journal-title":"Int. J. Comput. Math. Co."},{"key":"S0129054125500157BIB008","doi-asserted-by":"publisher","DOI":"10.1109\/12.21148"},{"key":"S0129054125500157BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2021.10.022"},{"issue":"3","key":"S0129054125500157BIB010","first-page":"p3","volume":"23","author":"Hua X.","year":"2022","journal-title":"Ars Math. Contemp."},{"key":"S0129054125500157BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2020.05.006"},{"key":"S0129054125500157BIB012","author":"Hua X.","year":"2023","journal-title":"Research Square"},{"key":"S0129054125500157BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2022.03.002"},{"issue":"3","key":"S0129054125500157BIB014","first-page":"610","volume":"86","author":"Yasuto S.","year":"2003","journal-title":"IEICE T. Inf. Syst."},{"key":"S0129054125500157BIB015","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2022.11.020"},{"key":"S0129054125500157BIB016","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2015.03.027"},{"key":"S0129054125500157BIB017","doi-asserted-by":"publisher","DOI":"10.1016\/j.ipl.2010.04.023"},{"key":"S0129054125500157BIB018","doi-asserted-by":"publisher","DOI":"10.1587\/transinf.E92.D.389"},{"key":"S0129054125500157BIB019","doi-asserted-by":"publisher","DOI":"10.1080\/09728600.2023.2212293"},{"key":"S0129054125500157BIB020","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-84628-970-5"},{"key":"S0129054125500157BIB021","doi-asserted-by":"publisher","DOI":"10.1137\/060664252"},{"key":"S0129054125500157BIB022","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(79)90068-2"},{"key":"S0129054125500157BIB023","doi-asserted-by":"publisher","DOI":"10.1093\/comjnl\/bxz116"}],"container-title":["International Journal of Foundations of Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0129054125500157","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T08:06:16Z","timestamp":1773648376000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0129054125500157"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,6,20]]},"references-count":23,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2026,4]]}},"alternative-id":["10.1142\/S0129054125500157"],"URL":"https:\/\/doi.org\/10.1142\/s0129054125500157","relation":{},"ISSN":["0129-0541","1793-6373"],"issn-type":[{"value":"0129-0541","type":"print"},{"value":"1793-6373","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,6,20]]}}}