{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T21:02:22Z","timestamp":1649019742916},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Parallel Process. Lett."],"published-print":{"date-parts":[[1998,6]]},"abstract":"<jats:p> This paper explores one-to-one embeddings of 2-dimensional grids into hypercubes. It is shown that each 2-dimensional grid can be embedded with edge-congestion 2 into its optimal hypercube (the smallest hypercube with at least as many nodes as the grid). Additionally, a technique is developed to embed many 2-dimensional grids into their optimal hypercubes with edge-congestion 1. <\/jats:p>","DOI":"10.1142\/s0129626498000249","type":"journal-article","created":{"date-parts":[[2003,9,8]],"date-time":"2003-09-08T09:56:09Z","timestamp":1063014969000},"page":"231-242","source":"Crossref","is-referenced-by-count":7,"title":["Embedding 2-Dimensional Grids Into Optimal Hypercubes with  Edge-Congestion 1 or 2"],"prefix":"10.1142","volume":"08","author":[{"given":"Markus","family":"R\u00f6ttger","sequence":"first","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Paderborn, D-33102 Paderborn, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ulf-Peter","family":"Schroeder","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Paderborn, D-33102 Paderborn, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"container-title":["Parallel Processing Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0129626498000249","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T13:33:47Z","timestamp":1565184827000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0129626498000249"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,6]]},"references-count":0,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[1998,6]]}},"alternative-id":["10.1142\/S0129626498000249"],"URL":"https:\/\/doi.org\/10.1142\/s0129626498000249","relation":{},"ISSN":["0129-6264","1793-642X"],"issn-type":[{"value":"0129-6264","type":"print"},{"value":"1793-642X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1998,6]]}}}