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In this paper, we present a variety of linear--time algorithms for these problems inspired by the Algebraic Multigrid approach, which is based on weighted-edge contraction. The experimental result for four such problems turned out to be better than every known result in almost all cases, while the short (linear) running time of the algorithms enables testing very large graphs.<\/jats:p>","DOI":"10.1145\/1412228.1412232","type":"journal-article","created":{"date-parts":[[2008,10,7]],"date-time":"2008-10-07T12:48:29Z","timestamp":1223383709000},"source":"Crossref","is-referenced-by-count":24,"title":["Multilevel algorithms for linear ordering problems"],"prefix":"10.1145","volume":"13","author":[{"given":"Ilya","family":"Safro","sequence":"first","affiliation":[{"name":"The Weizmann Institute of Science, Rehovot, Israel"}]},{"given":"Dorit","family":"Ron","sequence":"additional","affiliation":[{"name":"The Weizmann Institute of Science, Rehovot, Israel"}]},{"given":"Achi","family":"Brandt","sequence":"additional","affiliation":[{"name":"The Weizmann Institute of Science, Rehovot, Israel"}]}],"member":"320","published-online":{"date-parts":[[2009,2,23]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.7155\/jgaa.00035"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1002\/nla.1680020402"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/0096-3003(86)90095-0"},{"volume-title":"Multiscale and Multiresolution Methods (Proceeding of the Yosemite Educational Symposium","year":"2001","author":"Brandt A.","key":"e_1_2_1_4_1"},{"key":"e_1_2_1_5_1","doi-asserted-by":"crossref","unstructured":"Brandt A. and Ron D. 2003. 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