[{"_id":"11805","abstract":[{"lang":"eng","text":"In this paper, we present sparse certificates for biconnectivity together with algorithms for updating these certificates. We thus obtain fully-dynamic algorithms for biconnectivity in graphs that run in O(√n log n log⌈m/n⌉) amortized time per operation, where m is the number of edges and n is the number of nodes in the graph. This improves upon the results in [11], in which algorithms were presented running in O(√m) amortized time, and solves the open problem to find certificates to speed up biconnectivity, as stated in [2]."}],"date_published":"1995-09-01T00:00:00Z","date_created":"2022-08-11T14:09:52Z","month":"09","extern":"1","article_processing_charge":"No","page":"171–184","status":"public","intvolume":"       979","volume":979,"publication":"3rd Annual European Symposium on Algorithms","quality_controlled":"1","publisher":"Springer Nature","publication_status":"published","type":"conference","author":[{"orcid":"0000-0002-5008-6530","id":"540c9bbd-f2de-11ec-812d-d04a5be85630","first_name":"Monika H","full_name":"Henzinger, Monika H","last_name":"Henzinger"},{"full_name":"Poutré, Han","first_name":"Han","last_name":"Poutré"}],"year":"1995","alternative_title":["LNCS"],"oa_version":"None","day":"01","title":"Certificates and fast algorithms for biconnectivity in fully-dynamic graphs","conference":{"location":"Corfu, Greece","end_date":"1995-09-27","start_date":"1995-09-25","name":"ESA: European Symposium on Algorithms"},"citation":{"ieee":"M. H. Henzinger and H. Poutré, “Certificates and fast algorithms for biconnectivity in fully-dynamic graphs,” in <i>3rd Annual European Symposium on Algorithms</i>, Corfu, Greece, 1995, vol. 979, pp. 171–184.","ista":"Henzinger MH, Poutré H. 1995. Certificates and fast algorithms for biconnectivity in fully-dynamic graphs. 3rd Annual European Symposium on Algorithms. ESA: European Symposium on Algorithms, LNCS, vol. 979, 171–184.","chicago":"Henzinger, Monika H, and Han Poutré. “Certificates and Fast Algorithms for Biconnectivity in Fully-Dynamic Graphs.” In <i>3rd Annual European Symposium on Algorithms</i>, 979:171–184. Springer Nature, 1995. <a href=\"https://doi.org/10.1007/3-540-60313-1_142\">https://doi.org/10.1007/3-540-60313-1_142</a>.","mla":"Henzinger, Monika H., and Han Poutré. “Certificates and Fast Algorithms for Biconnectivity in Fully-Dynamic Graphs.” <i>3rd Annual European Symposium on Algorithms</i>, vol. 979, Springer Nature, 1995, pp. 171–184, doi:<a href=\"https://doi.org/10.1007/3-540-60313-1_142\">10.1007/3-540-60313-1_142</a>.","short":"M.H. Henzinger, H. Poutré, in:, 3rd Annual European Symposium on Algorithms, Springer Nature, 1995, pp. 171–184.","apa":"Henzinger, M. H., &#38; Poutré, H. (1995). Certificates and fast algorithms for biconnectivity in fully-dynamic graphs. In <i>3rd Annual European Symposium on Algorithms</i> (Vol. 979, pp. 171–184). Corfu, Greece: Springer Nature. <a href=\"https://doi.org/10.1007/3-540-60313-1_142\">https://doi.org/10.1007/3-540-60313-1_142</a>","ama":"Henzinger MH, Poutré H. Certificates and fast algorithms for biconnectivity in fully-dynamic graphs. In: <i>3rd Annual European Symposium on Algorithms</i>. Vol 979. Springer Nature; 1995:171–184. doi:<a href=\"https://doi.org/10.1007/3-540-60313-1_142\">10.1007/3-540-60313-1_142</a>"},"publication_identifier":{"eisbn":["9783540449133"],"issn":["0302-9743"],"isbn":["9783540603139"],"eissn":["1611-3349"]},"doi":"10.1007/3-540-60313-1_142","scopus_import":"1","date_updated":"2023-02-14T08:02:03Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","language":[{"iso":"eng"}]}]