{"id":"W1809658767","doi":"","title":"Complete minors in cubic graphs with few short cycles and random cubic graphs","year":2004,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Cubic graph; Combinatorics; Minor (academic); Girth (graph theory); Discrete mathematics; Graph; Robertson–Seymour theorem; Kappa; Odd graph; 1-planar graph; Line graph; Humanities; Geometry; Voltage graph","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004181242,0.000359482,0.0005907773,0.0003110663,0.0002720113,0.00005907347,0.0003211827,0.000151941,0.00001882812],"category_scores_gemma":[0.00007766303,0.0002790686,0.0001238852,0.0005043191,0.000396006,0.0001634813,0.0001218415,0.0003475231,0.00000280634],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004483322,"about_ca_system_score_gemma":0.00003613948,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009047485,"about_ca_topic_score_gemma":0.0001460802,"domain_scores_codex":[0.9981976,0.000122082,0.0004260762,0.0004384769,0.0003511822,0.0004646232],"domain_scores_gemma":[0.9987865,0.0003663901,0.0001055209,0.0005268452,0.00006187701,0.0001528681],"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":[0.0001912769,0.0001324724,0.02442428,0.00008550358,0.00009533603,0.00005951303,0.00130085,0.000007995792,0.0002014212,0.9730214,0.0001082976,0.0003716144],"study_design_scores_gemma":[0.005675199,0.0001726285,0.0154999,0.000147879,0.00007719756,0.00005766092,0.0002332266,0.00001122149,0.0005249625,0.9771066,0.0001099535,0.0003835858],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9961327,0.000522193,0.00002122146,0.00008440237,0.0005782642,0.0005102468,0.00001169619,0.0001029317,0.00203629],"genre_scores_gemma":[0.9983569,0.0001255253,0.001286228,0.00009608495,0.000006723552,0.00003708262,0.000008245825,0.00005316867,0.00003003995],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008924378,"threshold_uncertainty_score":0.9999661,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01893770408815831,"score_gpt":0.2573646342024757,"score_spread":0.2384269301143174,"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."}}