{"id":"W4366371563","doi":"10.1007/s10107-023-01950-8","title":"Small separations in pinch-graphic matroids","year":2023,"lang":"en","type":"article","venue":"Mathematical Programming","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Office of Naval Research; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Matroid; Corollary; Combinatorics; Graphic matroid; Mathematics; Time complexity; Polynomial; Computer science; Discrete mathematics; Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006598152,0.0009983225,0.001157002,0.001829113,0.002088564,0.0037621,0.001609123,0.001658681,0.01370845],"category_scores_gemma":[0.005724566,0.001249841,0.0008016221,0.00170903,0.002793787,0.004471474,0.00264557,0.004411168,0.001546071],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001259247,"about_ca_system_score_gemma":0.0006264124,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007458484,"about_ca_topic_score_gemma":0.001288722,"domain_scores_codex":[0.9992453,0.0002077167,0.00002660995,0.0001509634,0.0002201932,0.0001492468],"domain_scores_gemma":[0.9956965,0.002530483,0.000564557,0.0002756383,0.0002144824,0.0007183043],"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":[0.0001362459,0.00006983879,0.0004679334,0.00008647823,0.00001375798,0.0001324537,0.0002318822,0.007554774,0.001688138,0.9802018,0.002701918,0.006714679],"study_design_scores_gemma":[0.00003899332,0.00003419583,0.0002655025,0.0000176603,0.00001350611,0.0001200747,0.0001105716,0.02070194,0.0008433766,0.9758699,0.001972759,0.00001144298],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6427028,0.0008067476,0.2387286,0.002646978,0.0002481701,0.0001241138,0.0003284595,0.0008880396,0.1135261],"genre_scores_gemma":[0.9357971,0.0005249673,0.03307771,0.0006278292,0.0002310745,0.0001652034,0.0003199212,0.0002535419,0.02900256],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01370845,"threshold_uncertainty_score":0.04585934,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06714110996471906,"score_gpt":0.3352855607925005,"score_spread":0.2681444508277815,"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."}}