{"article_processing_charge":"No","date_created":"2022-08-11T14:09:52Z","month":"09","citation":{"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 3rd Annual European Symposium on Algorithms, 979:171–184. Springer Nature, 1995. https://doi.org/10.1007/3-540-60313-1_142.","apa":"Henzinger, M. H., & Poutré, H. (1995). Certificates and fast algorithms for biconnectivity in fully-dynamic graphs. In 3rd Annual European Symposium on Algorithms (Vol. 979, pp. 171–184). Corfu, Greece: Springer Nature. https://doi.org/10.1007/3-540-60313-1_142","short":"M.H. Henzinger, H. Poutré, in:, 3rd Annual European Symposium on Algorithms, Springer Nature, 1995, pp. 171–184.","mla":"Henzinger, Monika H., and Han Poutré. “Certificates and Fast Algorithms for Biconnectivity in Fully-Dynamic Graphs.” 3rd Annual European Symposium on Algorithms, vol. 979, Springer Nature, 1995, pp. 171–184, doi:10.1007/3-540-60313-1_142.","ama":"Henzinger MH, Poutré H. Certificates and fast algorithms for biconnectivity in fully-dynamic graphs. In: 3rd Annual European Symposium on Algorithms. Vol 979. Springer Nature; 1995:171–184. doi:10.1007/3-540-60313-1_142","ieee":"M. H. Henzinger and H. Poutré, “Certificates and fast algorithms for biconnectivity in fully-dynamic graphs,” in 3rd Annual European Symposium on Algorithms, Corfu, Greece, 1995, vol. 979, pp. 171–184."},"day":"01","page":"171–184","year":"1995","publisher":"Springer Nature","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_published":"1995-09-01T00:00:00Z","type":"conference","extern":"1","volume":979,"date_updated":"2023-02-14T08:02:03Z","language":[{"iso":"eng"}],"intvolume":" 979","publication_identifier":{"issn":["0302-9743"],"isbn":["9783540603139"],"eisbn":["9783540449133"],"eissn":["1611-3349"]},"title":"Certificates and fast algorithms for biconnectivity in fully-dynamic graphs","alternative_title":["LNCS"],"scopus_import":"1","quality_controlled":"1","conference":{"name":"ESA: European Symposium on Algorithms","location":"Corfu, Greece","end_date":"1995-09-27","start_date":"1995-09-25"},"doi":"10.1007/3-540-60313-1_142","author":[{"id":"540c9bbd-f2de-11ec-812d-d04a5be85630","last_name":"Henzinger","orcid":"0000-0002-5008-6530","full_name":"Henzinger, Monika H","first_name":"Monika H"},{"last_name":"Poutré","first_name":"Han","full_name":"Poutré, Han"}],"_id":"11805","oa_version":"None","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]."}],"publication":"3rd Annual European Symposium on Algorithms","publication_status":"published"}