{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T07:24:19Z","timestamp":1648970659556},"reference-count":16,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Inter. Net."],"published-print":{"date-parts":[[2019,12]]},"abstract":"<jats:p> Let F be an edge subset and F\u2032 a subset of vertices and edges of a graph G. If G \u2212 F and G \u2212 F\u2032 have no fractional perfect matchings, then F is a fractional matching preclusion (FMP) set and F\u2032 is a fractional strong matching preclusion (FSMP) set of G. The FMP (FSMP) number of G is the minimum size of FMP (FSMP) sets of G. In this paper, we study the fractional matching preclusion number and the fractional strong matching preclusion number for the M\u00f6bius cube MQ<jats:sub>n<\/jats:sub>. In adddition, all the optimal fractional strong preclusion sets of these graphs are categorized. <\/jats:p>","DOI":"10.1142\/s0219265919500075","type":"journal-article","created":{"date-parts":[[2019,12,20]],"date-time":"2019-12-20T02:25:03Z","timestamp":1576808703000},"page":"1950007","source":"Crossref","is-referenced-by-count":0,"title":["Fractional Matching Preclusion for M\u00f6bius Cubes"],"prefix":"10.1142","volume":"19","author":[{"given":"YALAN","family":"LI","sequence":"first","affiliation":[{"name":"School of Computer, Qinghai Normal University, Xining, Qinghai, 810008, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"CHENGFU","family":"YE","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"MIAOLIN","family":"WU","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"PING","family":"HAN","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2019,12,19]]},"reference":[{"key":"p_2","first-page":"185","volume":"174","author":"Birgham R. C.","year":"2005","journal-title":"Congress. Numer."},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2015.01.046"},{"issue":"2","key":"p_4","first-page":"165004","volume":"16","author":"Cheng E.","year":"2016","journal-title":"JOIN"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1002\/net.20187"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2011.07.007"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1080\/00207160.2010.495154"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2011.07.007"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1007\/s10878-016-0077-x"},{"issue":"7","key":"p_11","first-page":"17","volume":"109","author":"Maria S.","year":"2016","journal-title":"Inter. J. Pure Appl. Math."},{"key":"p_12","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2017.12.035"},{"key":"p_13","first-page":"2362","volume":"401","author":"Park J.-H.","year":"2009","journal-title":"Theor. Comput. Sci."},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2011.08.008"},{"key":"p_15","first-page":"60","volume":"35","author":"Park J.-H.","year":"2008","journal-title":"Journal of KIISE"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2012.10.002"},{"key":"p_18","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2007.06.013"},{"key":"p_20","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2013.06.011"}],"container-title":["Journal of Interconnection Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219265919500075","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,12,20]],"date-time":"2019-12-20T02:40:41Z","timestamp":1576809641000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219265919500075"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,12]]},"references-count":16,"journal-issue":{"issue":"04","published-print":{"date-parts":[[2019,12]]}},"alternative-id":["10.1142\/S0219265919500075"],"URL":"https:\/\/doi.org\/10.1142\/s0219265919500075","relation":{},"ISSN":["0219-2659","1793-6713"],"issn-type":[{"value":"0219-2659","type":"print"},{"value":"1793-6713","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,12]]}}}