{"id":"W2060877605","doi":"10.1006/jctb.2001.2032","title":"Matroid 4-Connectivity: A Deletion–Contraction Theorem","year":2001,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":30,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Marsden Fund; Natural Sciences and Engineering Research Council of Canada","keywords":"Matroid; Combinatorics; Mathematics; Element (criminal law); Contraction (grammar); Discrete mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.003610744,0.0002054926,0.0003960273,0.0003477579,0.0002669392,0.0002305627,0.001165069,0.0001112165,0.0001058784],"category_scores_gemma":[0.0008820011,0.0001735032,0.0002422976,0.0007019403,0.0002038766,0.003134328,0.0001765027,0.0005831366,0.00002608587],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000143846,"about_ca_system_score_gemma":0.0001683321,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001411228,"about_ca_topic_score_gemma":8.883535e-7,"domain_scores_codex":[0.9972583,0.0008591604,0.0005472956,0.0002333511,0.0006899855,0.0004119051],"domain_scores_gemma":[0.9972033,0.000867285,0.0005436083,0.0005249688,0.0006569382,0.0002039336],"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":[0.0015326,0.0001557867,0.0001393359,0.000005504676,0.00006837049,0.0001665136,0.0002590793,0.00005909114,0.003452727,0.9787604,0.0001406519,0.01525997],"study_design_scores_gemma":[0.001267364,0.0008381757,0.0002565328,0.00002967011,0.00001415529,0.001525546,0.0001883511,0.00007508971,0.005921655,0.9677757,0.02192644,0.0001813108],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2908029,0.0006344147,0.6867905,0.002066777,0.009892846,0.0002854587,0.000001774774,0.0001589773,0.009366293],"genre_scores_gemma":[0.9949049,0.0002033074,0.003525413,0.0001023047,0.0008356236,0.00000588143,3.936374e-7,0.00002176829,0.0004004059],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.704102,"threshold_uncertainty_score":0.7075256,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01198728508842466,"score_gpt":0.269787487247202,"score_spread":0.2578002021587773,"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."}}