{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T06:41:37Z","timestamp":1740120097231,"version":"3.37.3"},"reference-count":6,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","funder":[{"DOI":"10.13039\/501100011002","name":"National Natural Science Foundation of China-Yunnan Joint Fund","doi-asserted-by":"publisher","award":["12001314"],"award-info":[{"award-number":["12001314"]}],"id":[{"id":"10.13039\/501100011002","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Parallel Process. Lett."],"published-print":{"date-parts":[[2021,9]]},"abstract":"<jats:p> An edge [Formula: see text] in a 3-connected graph [Formula: see text] is contractible if the contraction [Formula: see text] is still [Formula: see text]-connected. Let [Formula: see text] be the set of contractible edges of [Formula: see text], [Formula: see text] be the set of vertices adjacent to three vertices of a triangle \u25b3. It has been proved that [Formula: see text] in a 3-connected graph [Formula: see text] of order at least 5. In this note [Formula: see text] is a 3-connected cubic graph containing [Formula: see text] triangles, at least [Formula: see text] vertices and with every [Formula: see text] an independent set. Then [Formula: see text]. This is a bound better than [Formula: see text] under some conditions. <\/jats:p>","DOI":"10.1142\/s0129626421500146","type":"journal-article","created":{"date-parts":[[2021,7,8]],"date-time":"2021-07-08T10:08:30Z","timestamp":1625738910000},"page":"2150014","source":"Crossref","is-referenced-by-count":0,"title":["Contractible Edges in 3-Connected Cubic Graphs"],"prefix":"10.1142","volume":"31","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0209-0874","authenticated-orcid":false,"given":"Shuai","family":"Kou","sequence":"first","affiliation":[{"name":"Department of Mathematics, Taiyuan University of Technology, Taiyuan Shanxi-030024, China"}]},{"given":"Chengfu","family":"Qin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Guangxi Teachers Education University, Nanning, China"}]},{"given":"Weihua","family":"Yang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Taiyuan University of Technology, Taiyuan Shanxi-030024, China"}]}],"member":"219","published-online":{"date-parts":[[2021,7,8]]},"reference":[{"key":"S0129626421500146BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-349-03521-2"},{"key":"S0129626421500146BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/S1385-7258(61)50045-5"},{"key":"S0129626421500146BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/BF02992931"},{"key":"S0129626421500146BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/BF02579387"},{"key":"S0129626421500146BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(87)90065-7"},{"key":"S0129626421500146BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/s00373-019-02103-5"}],"container-title":["Parallel Processing Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0129626421500146","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,8,4]],"date-time":"2021-08-04T09:46:00Z","timestamp":1628070360000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0129626421500146"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,7,8]]},"references-count":6,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2021,9]]}},"alternative-id":["10.1142\/S0129626421500146"],"URL":"https:\/\/doi.org\/10.1142\/s0129626421500146","relation":{},"ISSN":["0129-6264","1793-642X"],"issn-type":[{"type":"print","value":"0129-6264"},{"type":"electronic","value":"1793-642X"}],"subject":[],"published":{"date-parts":[[2021,7,8]]}}}