[{"year":"2020","oa_version":"Published Version","date_updated":"2023-02-14T10:03:43Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","scopus_import":"1","external_id":{"arxiv":["1907.04745"]},"publication_identifier":{"issn":["1868-8969"],"isbn":["9783959771405"]},"article_number":"53","date_published":"2020-03-04T00:00:00Z","_id":"11825","abstract":[{"text":"We give a fully dynamic (Las-Vegas style) algorithm with constant expected amortized time per update that maintains a proper (Δ+1)-vertex coloring of a graph with maximum degree at most Δ. This improves upon the previous O(log Δ)-time algorithm by Bhattacharya et al. (SODA 2018). Our algorithm uses an approach based on assigning random ranks to vertices and does not need to maintain a hierarchical graph decomposition. We show that our result does not only have optimal running time, but is also optimal in the sense that already deciding whether a Δ-coloring exists in a dynamically changing graph with maximum degree at most Δ takes Ω(log n) time per operation.","lang":"eng"}],"arxiv":1,"article_processing_charge":"No","volume":154,"publication_status":"published","oa":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.4230/LIPIcs.STACS.2020.53"}],"day":"04","alternative_title":["LIPIcs"],"type":"conference","author":[{"orcid":"0000-0002-5008-6530","id":"540c9bbd-f2de-11ec-812d-d04a5be85630","last_name":"Henzinger","first_name":"Monika H","full_name":"Henzinger, Monika H"},{"last_name":"Peng","first_name":"Pan","full_name":"Peng, Pan"}],"citation":{"chicago":"Henzinger, Monika H, and Pan Peng. “Constant-Time Dynamic (Δ+1)-Coloring.” In <i>37th International Symposium on Theoretical Aspects of Computer Science</i>, Vol. 154. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. <a href=\"https://doi.org/10.4230/LIPIcs.STACS.2020.53\">https://doi.org/10.4230/LIPIcs.STACS.2020.53</a>.","ieee":"M. H. Henzinger and P. Peng, “Constant-time dynamic (Δ+1)-coloring,” in <i>37th International Symposium on Theoretical Aspects of Computer Science</i>, Montpellier, France, 2020, vol. 154.","ista":"Henzinger MH, Peng P. 2020. Constant-time dynamic (Δ+1)-coloring. 37th International Symposium on Theoretical Aspects of Computer Science. STACS: Symposium on Theoretical Aspects of Computer Science, LIPIcs, vol. 154, 53.","mla":"Henzinger, Monika H., and Pan Peng. “Constant-Time Dynamic (Δ+1)-Coloring.” <i>37th International Symposium on Theoretical Aspects of Computer Science</i>, vol. 154, 53, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:<a href=\"https://doi.org/10.4230/LIPIcs.STACS.2020.53\">10.4230/LIPIcs.STACS.2020.53</a>.","short":"M.H. Henzinger, P. Peng, in:, 37th International Symposium on Theoretical Aspects of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.","ama":"Henzinger MH, Peng P. Constant-time dynamic (Δ+1)-coloring. In: <i>37th International Symposium on Theoretical Aspects of Computer Science</i>. Vol 154. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:<a href=\"https://doi.org/10.4230/LIPIcs.STACS.2020.53\">10.4230/LIPIcs.STACS.2020.53</a>","apa":"Henzinger, M. H., &#38; Peng, P. (2020). Constant-time dynamic (Δ+1)-coloring. In <i>37th International Symposium on Theoretical Aspects of Computer Science</i> (Vol. 154). Montpellier, France: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.STACS.2020.53\">https://doi.org/10.4230/LIPIcs.STACS.2020.53</a>"},"conference":{"location":"Montpellier, France","name":"STACS: Symposium on Theoretical Aspects of Computer Science","start_date":"2020-03-10","end_date":"2020-03-13"},"title":"Constant-time dynamic (Δ+1)-coloring","language":[{"iso":"eng"}],"doi":"10.4230/LIPIcs.STACS.2020.53","extern":"1","month":"03","date_created":"2022-08-12T07:53:05Z","quality_controlled":"1","publication":"37th International Symposium on Theoretical Aspects of Computer Science","status":"public","intvolume":"       154","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik"}]