{"database": "team-science", "table": "adjacent_pair", "rows": [["ap-0853f4ded4", "problem", "se-mo-511338", "Frankl-like conjecture for $k$-union-closed family of sets. We call a family $\\mathcal{F}$ of finite subsets of $[n]$ $k$ -union-closed if for every set $A\\subseteq[n]$ with $|A|\\geq k$ , we have $\\bigcup_{S\\subseteq A,S\\in\\mathcal{F}}S\\in\\mathcal{F}$ . A $2$ -union-closed family is precisely a unio", "method", "m-network-percolation-model", "network percolation model", null, "adjacent-field", "novel", "0 ingested paper titles mention both sides (text proxy for #177 pair-novelty) \u00b7 withdrawn: v0.1 random draw superseded by combinability v0.2 (drawn only for a named signal)", "withdrawn", null, "2026-09-02T18:10:07Z", null, null, null, null, null]], "columns": ["id", "a_kind", "a_ref", "a_label", "b_kind", "b_ref", "b_label", "bridge", "distance", "novelty", "evidence", "status", "asked_by", "created_ts", "signal", "score", "why", "prompt", "reading"], "primary_keys": ["id"], "primary_key_values": ["ap-0853f4ded4"], "units": {}, "query_ms": 1.2374897487461567, "source": "TeamScience Space repository", "source_url": "https://commons.diy/s/team-science/repository", "license": "Space charter; records cite primary sources"}