{"id":"W2047936368","doi":"10.1016/j.ejc.2007.02.010","title":"Fractional coloring and the odd Hadwiger’s conjecture","year":2007,"lang":"en","type":"article","venue":"European Journal of Combinatorics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Conjecture; Combinatorics; Pure mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004690664,0.000120306,0.0002287266,0.00009146996,0.0002988546,0.00004779005,0.0002738362,0.00002945895,0.00002517085],"category_scores_gemma":[0.0007068759,0.00006915334,0.0001156356,0.0001285926,0.0002038574,0.00009240193,0.00009575955,0.0005533112,0.00000174054],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002791348,"about_ca_system_score_gemma":0.00001954561,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":2.730783e-7,"about_ca_topic_score_gemma":2.189791e-7,"domain_scores_codex":[0.9986056,0.0003391148,0.0004719923,0.00007663449,0.0003419783,0.0001646441],"domain_scores_gemma":[0.9977492,0.001351096,0.0004688305,0.0001582126,0.0001783102,0.00009435016],"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":[0.0002108475,0.00002910955,0.0006890015,0.00001401627,0.00007591024,0.0001731586,0.001075748,0.000003971943,0.00002065381,0.9945107,0.0020575,0.001139398],"study_design_scores_gemma":[0.003100911,0.0001729839,0.007344459,0.00004172233,0.00007710949,0.0008853857,0.0003469675,0.0000103473,0.0001719722,0.9499865,0.03773654,0.0001250906],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9292872,0.001331797,0.01848447,0.0006944489,0.003001698,0.0001264334,0.000001318584,0.00002573186,0.04704689],"genre_scores_gemma":[0.9982806,0.00009416731,0.0007927105,0.0001998786,0.0003610837,1.140317e-7,1.209062e-7,0.00002390027,0.0002474548],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06899336,"threshold_uncertainty_score":0.2819991,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0206692841744524,"score_gpt":0.270061181899496,"score_spread":0.2493918977250436,"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."}}