{"conference":{"name":"IPDPS: International Parallel and Distributed Processing Symposium","start_date":"2019-05-20","end_date":"2019-05-24","location":"Rio de Janeiro, Brazil"},"publisher":"Institute of Electrical and Electronics Engineers","article_number":"8820968","date_created":"2022-08-16T07:25:23Z","external_id":{"arxiv":["1808.05458"]},"date_updated":"2023-02-21T16:30:34Z","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","publication":"33rd International Parallel and Distributed Processing Symposium","month":"05","extern":"1","language":[{"iso":"eng"}],"publication_identifier":{"isbn":["978-1-7281-1247-3"],"eissn":["1530-2075"],"eisbn":["978-1-7281-1246-6"]},"year":"2019","related_material":{"record":[{"status":"public","id":"11851","relation":"later_version"}]},"quality_controlled":"1","oa_version":"Preprint","date_published":"2019-05-01T00:00:00Z","author":[{"last_name":"Henzinger","orcid":"0000-0002-5008-6530","first_name":"Monika H","id":"540c9bbd-f2de-11ec-812d-d04a5be85630","full_name":"Henzinger, Monika H"},{"last_name":"Noe","first_name":"Alexander","full_name":"Noe, Alexander"},{"first_name":"Christian","last_name":"Schulz","full_name":"Schulz, Christian"}],"title":"Shared-memory exact minimum cuts","abstract":[{"text":"The minimum cut problem for an undirected edge-weighted graph asks us to divide its set of nodes into two blocks while minimizing the weighted sum of the cut edges. In this paper, we engineer the fastest known exact algorithm for the problem. State-of-the-art algorithms like the algorithm of Padberg and Rinaldi or the algorithm of Nagamochi, Ono and Ibaraki identify edges that can be contracted to reduce the graph size such that at least one minimum cut is maintained in the contracted graph. Our algorithm achieves improvements in running time over these algorithms by a multitude of techniques. First, we use a recently developed fast and parallel inexact minimum cut algorithm to obtain a better bound for the problem. Afterwards, we use reductions that depend on this bound to reduce the size of the graph much faster than previously possible. We use improved data structures to further lower the running time of our algorithm. Additionally, we parallelize the contraction routines of Nagamochi et al. . Overall, we arrive at a system that significantly outperforms the fastest state-of-the-art solvers for the exact minimum cut problem.","lang":"eng"}],"citation":{"chicago":"Henzinger, Monika H, Alexander Noe, and Christian Schulz. “Shared-Memory Exact Minimum Cuts.” In <i>33rd International Parallel and Distributed Processing Symposium</i>. Institute of Electrical and Electronics Engineers, 2019. <a href=\"https://doi.org/10.1109/ipdps.2019.00013\">https://doi.org/10.1109/ipdps.2019.00013</a>.","mla":"Henzinger, Monika H., et al. “Shared-Memory Exact Minimum Cuts.” <i>33rd International Parallel and Distributed Processing Symposium</i>, 8820968, Institute of Electrical and Electronics Engineers, 2019, doi:<a href=\"https://doi.org/10.1109/ipdps.2019.00013\">10.1109/ipdps.2019.00013</a>.","ama":"Henzinger MH, Noe A, Schulz C. Shared-memory exact minimum cuts. In: <i>33rd International Parallel and Distributed Processing Symposium</i>. Institute of Electrical and Electronics Engineers; 2019. doi:<a href=\"https://doi.org/10.1109/ipdps.2019.00013\">10.1109/ipdps.2019.00013</a>","ista":"Henzinger MH, Noe A, Schulz C. 2019. Shared-memory exact minimum cuts. 33rd International Parallel and Distributed Processing Symposium. IPDPS: International Parallel and Distributed Processing Symposium, 8820968.","ieee":"M. H. Henzinger, A. Noe, and C. Schulz, “Shared-memory exact minimum cuts,” in <i>33rd International Parallel and Distributed Processing Symposium</i>, Rio de Janeiro, Brazil, 2019.","apa":"Henzinger, M. H., Noe, A., &#38; Schulz, C. (2019). Shared-memory exact minimum cuts. In <i>33rd International Parallel and Distributed Processing Symposium</i>. Rio de Janeiro, Brazil: Institute of Electrical and Electronics Engineers. <a href=\"https://doi.org/10.1109/ipdps.2019.00013\">https://doi.org/10.1109/ipdps.2019.00013</a>","short":"M.H. Henzinger, A. Noe, C. Schulz, in:, 33rd International Parallel and Distributed Processing Symposium, Institute of Electrical and Electronics Engineers, 2019."},"main_file_link":[{"url":"https://arxiv.org/abs/1808.05458"}],"day":"01","scopus_import":"1","type":"conference","article_processing_charge":"No","doi":"10.1109/ipdps.2019.00013","_id":"11851"}