{"month":"11","extern":"1","doi":"10.1007/pl00009228","acknowledgement":".","author":[{"id":"540c9bbd-f2de-11ec-812d-d04a5be85630","full_name":"Henzinger, Monika H","orcid":"0000-0002-5008-6530","last_name":"Henzinger","first_name":"Monika H"},{"full_name":"Fredman, M. L.","first_name":"M. L.","last_name":"Fredman"}],"abstract":[{"lang":"eng","text":"We prove lower bounds on the complexity of maintaining fully dynamic k -edge or k -vertex connectivity in plane graphs and in (k-1) -vertex connected graphs. We show an amortized lower bound of Ω (log n / {k (log log n} + log b)) per edge insertion, deletion, or query operation in the cell probe model, where b is the word size of the machine and n is the number of vertices in G . We also show an amortized lower bound of Ω (log n /(log log n + log b)) per operation for fully dynamic planarity testing in embedded graphs. These are the first lower bounds for fully dynamic connectivity problems."}],"status":"public","date_published":"1998-11-01T00:00:00Z","scopus_import":"1","language":[{"iso":"eng"}],"citation":{"ama":"Henzinger M, Fredman ML. Lower bounds for fully dynamic connectivity problems in graphs. <i>Algorithmica</i>. 1998;22(3):351-362. doi:<a href=\"https://doi.org/10.1007/pl00009228\">10.1007/pl00009228</a>","mla":"Henzinger, Monika, and M. L. Fredman. “Lower Bounds for Fully Dynamic Connectivity Problems in Graphs.” <i>Algorithmica</i>, vol. 22, no. 3, Springer Nature, 1998, pp. 351–62, doi:<a href=\"https://doi.org/10.1007/pl00009228\">10.1007/pl00009228</a>.","ista":"Henzinger M, Fredman ML. 1998. Lower bounds for fully dynamic connectivity problems in graphs. Algorithmica. 22(3), 351–362.","apa":"Henzinger, M., &#38; Fredman, M. L. (1998). Lower bounds for fully dynamic connectivity problems in graphs. <i>Algorithmica</i>. Springer Nature. <a href=\"https://doi.org/10.1007/pl00009228\">https://doi.org/10.1007/pl00009228</a>","chicago":"Henzinger, Monika, and M. L. Fredman. “Lower Bounds for Fully Dynamic Connectivity Problems in Graphs.” <i>Algorithmica</i>. Springer Nature, 1998. <a href=\"https://doi.org/10.1007/pl00009228\">https://doi.org/10.1007/pl00009228</a>.","ieee":"M. Henzinger and M. L. Fredman, “Lower bounds for fully dynamic connectivity problems in graphs,” <i>Algorithmica</i>, vol. 22, no. 3. Springer Nature, pp. 351–362, 1998.","short":"M. Henzinger, M.L. Fredman, Algorithmica 22 (1998) 351–362."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","quality_controlled":"1","issue":"3","day":"01","year":"1998","oa_version":"None","publication_identifier":{"issn":["0178-4617"],"eissn":["1432-0541"]},"date_updated":"2024-11-06T12:08:20Z","title":"Lower bounds for fully dynamic connectivity problems in graphs","publisher":"Springer Nature","date_created":"2022-07-28T06:58:36Z","article_type":"original","volume":22,"page":"351-362","keyword":["Dynamic planarity testing","Dynamic connectivity testing","Lower bounds","Cell probe model"],"_id":"11681","article_processing_charge":"No","publication":"Algorithmica","type":"journal_article","intvolume":"        22"}