{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:35Z","timestamp":1753893815228,"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>An equation is called graph-regular if it always has\u00a0monochromatic solutions under edge-colorings of $K_{\\mathbb{N}}$.\u00a0We present two Rado-like conditions which are respectively\u00a0necessary and sufficient for an equation to be graph-regular.<\/jats:p>","DOI":"10.37236\/3082","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T21:58:18Z","timestamp":1578693498000},"source":"Crossref","is-referenced-by-count":0,"title":["Toward a Graph Version of Rado's Theorem"],"prefix":"10.37236","volume":"20","author":[{"given":"Andy","family":"Parrish","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2013,3,1]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i1p49\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i1p49\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T06:25:43Z","timestamp":1579242343000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v20i1p49"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,3,1]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2013,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/3082","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2013,3,1]]},"article-number":"P49"}}