Academic Journal
Beyond Distributed Subgraph Detection: Induced Subgraphs, Multicolored Problems and Graph Parameters
| العنوان: | Beyond Distributed Subgraph Detection: Induced Subgraphs, Multicolored Problems and Graph Parameters |
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| المؤلفون: | Nikabadi, Amir, Korhonen, Janne H. |
| المساهمون: | Amir Nikabadi and Janne H. Korhonen |
| بيانات النشر: | Schloss Dagstuhl – Leibniz-Zentrum für Informatik |
| سنة النشر: | 2022 |
| المجموعة: | DROPS - Dagstuhl Research Online Publication Server (Schloss Dagstuhl - Leibniz Center for Informatics ) |
| مصطلحات موضوعية: | distributed algorithms, parameterized distributed complexity, CONGEST model, induced subgraph detection, graph parameters, lower bounds |
| الوصف: | 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: - 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. - 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. - 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. |
| نوع الوثيقة: | article in journal/newspaper conference object |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | Is Part Of LIPIcs, Volume 217, 25th International Conference on Principles of Distributed Systems (OPODIS 2021); https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.OPODIS.2021.15 |
| DOI: | 10.4230/LIPIcs.OPODIS.2021.15 |
| الاتاحة: | https://doi.org/10.4230/LIPIcs.OPODIS.2021.15 https://nbn-resolving.org/urn:nbn:de:0030-drops-157902 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.OPODIS.2021.15 |
| Rights: | https://creativecommons.org/licenses/by/4.0/legalcode |
| رقم الانضمام: | edsbas.BD519152 |
| قاعدة البيانات: | BASE |
| DOI: | 10.4230/LIPIcs.OPODIS.2021.15 |
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