{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T18:18:42Z","timestamp":1758824322937,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>It was conjectured by Tutte that every 4-edge-connected graph admits a nowhere-zero $3$-flow. In this paper, we give a complete characterization of graphs whose squares admit nowhere-zero $3$-flows and thus confirm Tutte's $3$-flow conjecture for the family of squares of graphs.<\/jats:p>","DOI":"10.37236\/1698","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T02:29:57Z","timestamp":1578709797000},"source":"Crossref","is-referenced-by-count":14,"title":["Nowhere-Zero 3-Flows in Squares of Graphs"],"prefix":"10.37236","volume":"10","author":[{"given":"Rui","family":"Xu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cun-Quan","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2003,1,22]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v10i1r5\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v10i1r5\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T05:10:06Z","timestamp":1579324206000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v10i1r5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,1,22]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2003,1,6]]}},"URL":"https:\/\/doi.org\/10.37236\/1698","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2003,1,22]]},"article-number":"R5"}}