{"paper":{"title":"Improved Distributed Approximations for Maximum Independent Set","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"cs.DC","authors_text":"Aaron Schild, Gregory Schwartzman, Ken-ichi Kawarabayashi, Seri Khoury","submitted_at":"2019-06-27T09:52:02Z","abstract_excerpt":"We present improved results for approximating maximum-weight independent set ($\\MaxIS$) in the CONGEST and LOCAL models of distributed computing. Given an input graph, let $n$ and $\\Delta$ be the number of nodes and maximum degree, respectively, and let $\\MIS(n,\\Delta)$ be the the running time of finding a \\emph{maximal} independent set ($\\MIS$) in the CONGEST model. Bar-Yehuda et al. [PODC 2017] showed that there is an algorithm in the CONGEST model that finds a $\\Delta$-approximation for $\\MaxIS$ in $O(\\MIS(n,\\Delta)\\log W)$ rounds, where $W$ is the maximum weight of a node in the graph, whi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.11524","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/1906.11524/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"}