{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,9,2]],"date-time":"2023-09-02T11:53:02Z","timestamp":1693655582184},"reference-count":14,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Found. Comput. Sci."],"published-print":{"date-parts":[[2014,1]]},"abstract":"<jats:p> A graph G is said to be super edge connected (in short super \u2013 \u03bb) if every minimum edge cut isolates a vertex of G. The Kronecker product of graphs G and H is the graph with vertex set V(G \u00d7 H) = V(G) \u00d7 V(H), where two vertices (u1, v1) and (u2, v2) are adjacent in G \u00d7 H if u1u2 \u2208 E(G) and v1v2 \u2208 E(H). Let G be a connected graph, and let \u03b4(G) and \u03bb(G) be the minimum degree and the edge-connectivity of G, respectively. In this paper we prove that G \u00d7 K<jats:sub>n<\/jats:sub> is super-\u03bb for n \u2265 3, if \u03bb(G) = \u03b4(G) and G \u2247 K<jats:sub>2<\/jats:sub>. Furthermore, we show that K<jats:sub>2<\/jats:sub> \u00d7 K<jats:sub>n<\/jats:sub> is super-\u03bb when n \u2265 4. Similar results for G \u00d7 T<jats:sub>n<\/jats:sub> are also obtained, where T<jats:sub>n<\/jats:sub> is the graph obtained from K<jats:sub>n<\/jats:sub> by adding a loop to every vertex of K<jats:sub>n<\/jats:sub>. <\/jats:p>","DOI":"10.1142\/s0129054114500038","type":"journal-article","created":{"date-parts":[[2014,4,28]],"date-time":"2014-04-28T22:35:13Z","timestamp":1398724513000},"page":"59-65","source":"Crossref","is-referenced-by-count":3,"title":["SUPER EDGE CONNECTIVITY OF KRONECKER PRODUCTS OF GRAPHS"],"prefix":"10.1142","volume":"25","author":[{"given":"XIANG-LAN","family":"CAO","sequence":"first","affiliation":[{"name":"College of Mathematics and System Sciences, Xinjiang University,  Urumqi 830046, P. R. China"}]},{"given":"ELKIN","family":"VUMAR","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Sciences, Xinjiang University,  Urumqi 830046, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2014,4,28]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.20194"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1137\/S0895480103438358"},{"key":"p_4","first-page":"45","volume":"41","author":"Bre\u0161ar B.","year":"2008","journal-title":"Australs. J. Combin."},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1016\/j.ipl.2011.06.007"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1016\/S0895-7177(99)00173-9"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2009.03.008"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1016\/j.ipl.2010.05.013"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1142\/S1793557108000102"},{"key":"p_10","first-page":"1119","volume":"5","author":"Lammprey R. H.","year":"1974","journal-title":"Model. Simul."},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1016\/j.ipl.2007.12.002"},{"key":"p_13","first-page":"74","volume":"57","author":"Munarini E.","year":"2009","journal-title":"Bull. Inst. Combin. Appl."},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2006.11.038"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1007\/s00373-010-0919-8"},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2005.11.010"}],"container-title":["International Journal of Foundations of Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0129054114500038","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T14:46:06Z","timestamp":1565102766000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0129054114500038"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,1]]},"references-count":14,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2014,4,28]]},"published-print":{"date-parts":[[2014,1]]}},"alternative-id":["10.1142\/S0129054114500038"],"URL":"https:\/\/doi.org\/10.1142\/s0129054114500038","relation":{},"ISSN":["0129-0541","1793-6373"],"issn-type":[{"value":"0129-0541","type":"print"},{"value":"1793-6373","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,1]]}}}