{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:39Z","timestamp":1753893819728,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Let $G$ be a quasirandom graph on $n$ vertices, and let $W$ be a random walk on $G$ of length $\\alpha n^2$. Must the set of edges traversed by $W$ form a quasirandom graph? This question was\u00a0asked by B\u00f6ttcher, Hladk\u00fd, Piguet and Taraz. Our aim in this paper is to give a positive answer to this\u00a0question. We also prove a similar result for random embeddings of trees.<\/jats:p>","DOI":"10.37236\/3275","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T01:12:27Z","timestamp":1578705147000},"source":"Crossref","is-referenced-by-count":1,"title":["Random Walks on Quasirandom Graphs"],"prefix":"10.37236","volume":"20","author":[{"given":"Ben","family":"Barber","sequence":"first","affiliation":[]},{"given":"Eoin","family":"Long","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2013,11,29]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i4p25\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i4p25\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T11:10:46Z","timestamp":1579259446000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v20i4p25"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,11,29]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2013,10,14]]}},"URL":"https:\/\/doi.org\/10.37236\/3275","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2013,11,29]]},"article-number":"P25"}}