{"paper":{"title":"Local problems in trees across a wide range of distributed models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DC","authors_text":"Anubhav Dhar, Augusto Modanese, Eli Kujawa, Henrik Lievonen, Jan Studen\\'y, Jukka Suomela, Mikail Muftuoglu","submitted_at":"2024-09-20T12:34:21Z","abstract_excerpt":"The randomized online-LOCAL model captures a number of models of computing; it is at least as strong as all of these models:\n  - the classical LOCAL model of distributed graph algorithms,\n  - the quantum version of the LOCAL model,\n  - finitely dependent distributions [e.g. Holroyd 2016],\n  - any model that does not violate physical causality [Gavoille, Kosowski, Markiewicz, DISC 2009],\n  - the SLOCAL model [Ghaffari, Kuhn, Maus, STOC 2017], and\n  - the dynamic-LOCAL and online-LOCAL models [Akbari et al., ICALP 2023].\n  In general, the online-LOCAL model can be much stronger than the LOCAL mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.13795","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2409.13795/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}