{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:36Z","timestamp":1753893816862,"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>A partial ordering $\\mathbb P$ is chain-Ramsey if, for every natural number $n$ and every coloring of the $n$-element chains from $\\mathbb P$ in finitely many colors, there is a monochromatic subordering $\\mathbb Q$ isomorphic to $\\mathbb P$. \u00a0Chain-Ramsey partial orderings stratify naturally into levels. \u00a0We show that a countably infinite partial ordering with finite levels is chain-Ramsey if and only if it is biembeddable with one of a canonical collection of examples constructed from certain edge-Ramsey families of finite bipartite graphs. \u00a0A similar analysis applies to a large class of countably infinite partial orderings with infinite levels.<\/jats:p>","DOI":"10.37236\/3151","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T07:06:03Z","timestamp":1578726363000},"source":"Crossref","is-referenced-by-count":1,"title":["Ramsey Properties of Countably Infinite Partial Orderings"],"prefix":"10.37236","volume":"20","author":[{"given":"Marcia J.","family":"Groszek","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\/v20i1p50\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i1p50\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T11:25:40Z","timestamp":1579260340000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v20i1p50"}},"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\/3151","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2013,3,1]]},"article-number":"P50"}}