{"paper":{"title":"Local paths to global coherence: cutting networks down to size","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DS","math.MP","math.ST","q-bio.QM","stat.TH"],"primary_cat":"q-bio.NC","authors_text":"Eric Shea-Brown, James Trousdale, Kre\\v{s}imir Josi\\'c, Yu Hu","submitted_at":"2012-12-18T06:36:34Z","abstract_excerpt":"How does connectivity impact network dynamics? We address this question by linking network characteristics on two scales. On the global scale we consider the coherence of overall network dynamics. We show that such \\emph{global coherence} in activity can often be predicted from the \\emph{local structure} of the network. To characterize local network structure we use \"motif cumulants,\" a measure of the deviation of pathway counts from those expected in a minimal probabilistic network model.\n  We extend previous results in three ways. First, we give a new combinatorial formulation of motif cumul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4239","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}