{"id":"W162524908","doi":"","title":"Disproof of a Conjecture on List Coloring.","year":2008,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Conjecture; Mathematics; Combinatorics; List coloring","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001421013,0.0001155497,0.0001830028,0.0001207564,0.0001273143,0.00001740562,0.0004753236,0.00006359786,0.0000100544],"category_scores_gemma":[0.00004382258,0.0000989656,0.0000694593,0.0005136351,0.00009448517,0.0001020753,0.0001132218,0.0001338355,0.00002607429],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001538715,"about_ca_system_score_gemma":0.0000440187,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004972107,"about_ca_topic_score_gemma":0.000001622513,"domain_scores_codex":[0.9990182,0.00003934298,0.0001979456,0.0002696723,0.0002826012,0.0001922162],"domain_scores_gemma":[0.9990982,0.00008440723,0.00009746989,0.0005453982,0.00009126146,0.00008319758],"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":[0.000006958127,0.0001445613,0.002014286,0.000006780231,0.00001057784,0.00002185873,0.0002853037,0.00004522643,0.0006737973,0.991689,0.004494386,0.0006072262],"study_design_scores_gemma":[0.001473553,0.0007829582,0.006921611,0.00006132085,0.000006775239,0.00003975108,0.000006888172,0.001882656,0.02336835,0.9629306,0.002246727,0.0002788586],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9939597,0.0001332017,0.000101816,0.0005580244,0.001427374,0.00008110674,0.000001700757,0.0001453343,0.0035917],"genre_scores_gemma":[0.9983269,0.0000109984,0.001126085,0.0002031923,9.972446e-7,0.00000734296,0.000001417476,0.000007434834,0.0003156127],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02875848,"threshold_uncertainty_score":0.40357,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01612783900717047,"score_gpt":0.2219355313656595,"score_spread":0.2058076923584891,"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."}}