{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:55Z","timestamp":1753893835925,"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>For a fixed graph $H$ on $k$ vertices, we investigate the graphs, $G$, such that for any partition of the vertices of $G$ into $k$ color classes, there is a transversal of that partition inducing $H$.  For every integer $k\\geq 1$, we find a family ${\\cal F}$ of at most six graphs on $k$ vertices such that the following holds.  If $H\\notin {\\cal F}$, then for any graph $G$ on at least $4k-1$ vertices, there is a $k$-coloring of vertices of $G$ avoiding totally multicolored induced subgraphs isomorphic to $H$.  Thus, we provide a vertex-induced anti-Ramsey result, extending the induced-vertex-Ramsey theorems by Deuber, R\u00f6dl et al.<\/jats:p>","DOI":"10.37236\/1062","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T05:02:41Z","timestamp":1578718961000},"source":"Crossref","is-referenced-by-count":1,"title":["On Subgraphs Induced by Transversals in Vertex-Partitions of Graphs"],"prefix":"10.37236","volume":"13","author":[{"given":"Maria","family":"Axenovich","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2006,4,4]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1r36\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1r36\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T04:17:27Z","timestamp":1579321047000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v13i1r36"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,4,4]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2006,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/1062","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2006,4,4]]},"article-number":"R36"}}