{"title":"Beyond distributed subgraph detection: Induced subgraphs, multicolored problems and graph parameters","quality_controlled":"1","status":"public","alternative_title":["LIPIcs"],"oa":1,"oa_version":"Published Version","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2022-04-17T22:01:47Z","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","scopus_import":"1","date_published":"2022-02-01T00:00:00Z","publication_status":"published","department":[{"_id":"DaAl"}],"abstract":[{"lang":"eng","text":"Subgraph detection has recently been one of the most studied problems in the CONGEST model of distributed computing. In this work, we study the distributed complexity of problems closely related to subgraph detection, mainly focusing on induced subgraph detection. The main line of this work presents lower bounds and parameterized algorithms w.r.t structural parameters of the input graph:\r\n- On general graphs, we give unconditional lower bounds for induced detection of cycles and patterns of treewidth 2 in CONGEST. Moreover, by adapting reductions from centralized parameterized complexity, we prove lower bounds in CONGEST for detecting patterns with a 4-clique, and for induced path detection conditional on the hardness of triangle detection in the congested clique.\r\n- On graphs of bounded degeneracy, we show that induced paths can be detected fast in CONGEST using techniques from parameterized algorithms, while detecting cycles and patterns of treewidth 2 is hard.\r\n- On graphs of bounded vertex cover number, we show that induced subgraph detection is easy in CONGEST for any pattern graph. More specifically, we adapt a centralized parameterized algorithm for a more general maximum common induced subgraph detection problem to the distributed setting. In addition to these induced subgraph detection results, we study various related problems in the CONGEST and congested clique models, including for multicolored versions of subgraph-detection-like problems."}],"file":[{"checksum":"626551c14de5d4091573200ed0535752","relation":"main_file","access_level":"open_access","creator":"dernst","file_name":"2022_LIPICs_Nikabadi.pdf","content_type":"application/pdf","date_updated":"2022-05-02T07:53:00Z","date_created":"2022-05-02T07:53:00Z","file_size":790396,"success":1,"file_id":"11345"}],"type":"conference","day":"01","article_processing_charge":"No","month":"02","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2022-05-02T07:56:35Z","file_date_updated":"2022-05-02T07:53:00Z","acknowledgement":"Amir Nikabadi: Supported by the LABEX MILYON (ANR-10-LABX-0070) of Université de Lyon, within the program “Investissements d’Avenir” (ANR-11-IDEX-0007) operated by the French National Research Agency (ANR). Janne H. Korhonen: Supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 805223 ScaleML).\r\nWe thank François Le Gall and Masayuki Miyamoto for sharing their work on lower bounds for induced subgraph detection [36].","ddc":["510"],"project":[{"call_identifier":"H2020","grant_number":"805223","_id":"268A44D6-B435-11E9-9278-68D0E5697425","name":"Elastic Coordination for Scalable Machine Learning"}],"intvolume":"       217","volume":217,"year":"2022","ec_funded":1,"conference":{"end_date":"2021-12-15","location":"Strasbourg, France","start_date":"2021-12-13","name":"OPODIS"},"citation":{"ieee":"A. Nikabadi and J. Korhonen, “Beyond distributed subgraph detection: Induced subgraphs, multicolored problems and graph parameters,” in <i>25th International Conference on Principles of Distributed Systems</i>, Strasbourg, France, 2022, vol. 217.","mla":"Nikabadi, Amir, and Janne Korhonen. “Beyond Distributed Subgraph Detection: Induced Subgraphs, Multicolored Problems and Graph Parameters.” <i>25th International Conference on Principles of Distributed Systems</i>, edited by Quentin Bramas et al., vol. 217, 15, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022, doi:<a href=\"https://doi.org/10.4230/LIPIcs.OPODIS.2021.15\">10.4230/LIPIcs.OPODIS.2021.15</a>.","short":"A. Nikabadi, J. Korhonen, in:, Q. Bramas, V. Gramoli, A. Milani (Eds.), 25th International Conference on Principles of Distributed Systems, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022.","ama":"Nikabadi A, Korhonen J. Beyond distributed subgraph detection: Induced subgraphs, multicolored problems and graph parameters. In: Bramas Q, Gramoli V, Milani A, eds. <i>25th International Conference on Principles of Distributed Systems</i>. Vol 217. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2022. doi:<a href=\"https://doi.org/10.4230/LIPIcs.OPODIS.2021.15\">10.4230/LIPIcs.OPODIS.2021.15</a>","apa":"Nikabadi, A., &#38; Korhonen, J. (2022). Beyond distributed subgraph detection: Induced subgraphs, multicolored problems and graph parameters. In Q. Bramas, V. Gramoli, &#38; A. Milani (Eds.), <i>25th International Conference on Principles of Distributed Systems</i> (Vol. 217). Strasbourg, France: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.OPODIS.2021.15\">https://doi.org/10.4230/LIPIcs.OPODIS.2021.15</a>","chicago":"Nikabadi, Amir, and Janne Korhonen. “Beyond Distributed Subgraph Detection: Induced Subgraphs, Multicolored Problems and Graph Parameters.” In <i>25th International Conference on Principles of Distributed Systems</i>, edited by Quentin Bramas, Vincent Gramoli, and Alessia Milani, Vol. 217. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022. <a href=\"https://doi.org/10.4230/LIPIcs.OPODIS.2021.15\">https://doi.org/10.4230/LIPIcs.OPODIS.2021.15</a>.","ista":"Nikabadi A, Korhonen J. 2022. Beyond distributed subgraph detection: Induced subgraphs, multicolored problems and graph parameters. 25th International Conference on Principles of Distributed Systems. OPODIS, LIPIcs, vol. 217, 15."},"editor":[{"full_name":"Bramas, Quentin","last_name":"Bramas","first_name":"Quentin"},{"last_name":"Gramoli","first_name":"Vincent","full_name":"Gramoli, Vincent"},{"last_name":"Milani","first_name":"Alessia","full_name":"Milani, Alessia"}],"language":[{"iso":"eng"}],"article_number":"15","_id":"11183","doi":"10.4230/LIPIcs.OPODIS.2021.15","publication":"25th International Conference on Principles of Distributed Systems","author":[{"last_name":"Nikabadi","first_name":"Amir","full_name":"Nikabadi, Amir"},{"last_name":"Korhonen","first_name":"Janne","id":"C5402D42-15BC-11E9-A202-CA2BE6697425","full_name":"Korhonen, Janne"}],"has_accepted_license":"1","publication_identifier":{"isbn":["9783959772198"],"issn":["1868-8969"]}}