{"id":"W4416099726","doi":"10.4230/lipics.socg.2025.19","title":"Polychromatic Coloring of Tuples in Hypergraphs","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University; University of Ottawa; University of Windsor","funders":"","keywords":"Hypergraph; Vertex (graph theory); Tuple; Set (abstract data type); Constant (computer programming)","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002446207,0.001684839,0.001256337,0.00158608,0.002002084,0.004042343,0.002095014,0.001178927,0.01129174],"category_scores_gemma":[0.01116043,0.001629705,0.00157061,0.003039795,0.002011542,0.006916895,0.002521531,0.003442801,0.002195871],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003481751,"about_ca_system_score_gemma":0.00189324,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004170793,"about_ca_topic_score_gemma":0.005485075,"domain_scores_codex":[0.9959034,0.001134588,0.0002027831,0.001229765,0.0007492554,0.0007801536],"domain_scores_gemma":[0.9863082,0.006454655,0.00114128,0.003680864,0.001315924,0.001099136],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.002580355,0.0006016062,0.008678125,0.00118389,0.0003504156,0.0005837205,0.001402393,0.1767569,0.03237604,0.5654968,0.04445196,0.1655378],"study_design_scores_gemma":[0.000223242,0.0003670504,0.005074165,0.0002322213,0.0002525186,0.001419387,0.0005453312,0.3053437,0.02118349,0.6152326,0.04997449,0.0001518698],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2029257,0.003700568,0.7240627,0.002139892,0.000322713,0.0003665018,0.00566718,0.004620114,0.05619457],"genre_scores_gemma":[0.6660929,0.002861919,0.3035079,0.001449364,0.00045412,0.000678033,0.007068039,0.001306672,0.01658103],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01129174,"threshold_uncertainty_score":0.03777462,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05373110151907944,"score_gpt":0.3253386435993889,"score_spread":0.2716075420803094,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}