{"date_created":"2022-08-08T10:58:29Z","abstract":[{"lang":"eng","text":"We give two fully dynamic algorithms that maintain a (1 + ε)-approximation of the weight M of a minimum spanning forest (MSF) of an n-node graph G with edges weights in [1, W ], for any ε > 0. (1) Our deterministic algorithm takes O (W 2 log W /ε3) worst-case update time, which is O (1) if both W and ε are constants. (2) Our randomized (Monte-Carlo style) algorithm works with high probability and runs in worst-case O (log W /ε4) update time if W = O ((m∗)1/6/log2/3 n), where m∗ is the minimum number of edges in the graph throughout all the updates. It works even against an adaptive adversary. We complement our algorithmic results with two cell-probe lower bounds for dynamically maintaining an approximation of the weight of an MSF of a graph."}],"oa":1,"publication_identifier":{"issn":["0890-5401"]},"publisher":"Elsevier","intvolume":"       281","author":[{"last_name":"Henzinger","orcid":"0000-0002-5008-6530","full_name":"Henzinger, Monika H","id":"540c9bbd-f2de-11ec-812d-d04a5be85630","first_name":"Monika H"},{"last_name":"Peng","full_name":"Peng, Pan","first_name":"Pan"}],"external_id":{"arxiv":["2011.00977"]},"article_processing_charge":"No","title":"Constant-time dynamic weight approximation for minimum spanning forest","doi":"10.1016/j.ic.2021.104805","article_type":"original","oa_version":"Preprint","scopus_import":"1","issue":"12","status":"public","year":"2021","type":"journal_article","publication":"Information and Computation","date_published":"2021-12-01T00:00:00Z","citation":{"ama":"Henzinger MH, Peng P. Constant-time dynamic weight approximation for minimum spanning forest. <i>Information and Computation</i>. 2021;281(12). doi:<a href=\"https://doi.org/10.1016/j.ic.2021.104805\">10.1016/j.ic.2021.104805</a>","ista":"Henzinger MH, Peng P. 2021. Constant-time dynamic weight approximation for minimum spanning forest. Information and Computation. 281(12), 104805.","chicago":"Henzinger, Monika H, and Pan Peng. “Constant-Time Dynamic Weight Approximation for Minimum Spanning Forest.” <i>Information and Computation</i>. Elsevier, 2021. <a href=\"https://doi.org/10.1016/j.ic.2021.104805\">https://doi.org/10.1016/j.ic.2021.104805</a>.","ieee":"M. H. Henzinger and P. Peng, “Constant-time dynamic weight approximation for minimum spanning forest,” <i>Information and Computation</i>, vol. 281, no. 12. Elsevier, 2021.","mla":"Henzinger, Monika H., and Pan Peng. “Constant-Time Dynamic Weight Approximation for Minimum Spanning Forest.” <i>Information and Computation</i>, vol. 281, no. 12, 104805, Elsevier, 2021, doi:<a href=\"https://doi.org/10.1016/j.ic.2021.104805\">10.1016/j.ic.2021.104805</a>.","short":"M.H. Henzinger, P. Peng, Information and Computation 281 (2021).","apa":"Henzinger, M. H., &#38; Peng, P. (2021). Constant-time dynamic weight approximation for minimum spanning forest. <i>Information and Computation</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.ic.2021.104805\">https://doi.org/10.1016/j.ic.2021.104805</a>"},"volume":281,"_id":"11756","month":"12","day":"01","quality_controlled":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_number":"104805","language":[{"iso":"eng"}],"date_updated":"2022-09-12T09:29:29Z","publication_status":"published","extern":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2011.00977"}]}