{"id":"W2161005000","doi":"10.1016/j.jctb.2007.02.005","title":"Excluding a planar graph from<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mi mathvariant=\"normal\">GF</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>q</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math>-representable matroids","year":2007,"lang":"lv","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":45,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Matroid; Scroll; Graphic matroid; Combinatorics; Antichain; Matroid partitioning; Mathematics; Oriented matroid; Binary number; Graph; Planar graph; Discrete mathematics; Partially ordered set; Arithmetic","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001816733,0.0007940332,0.0004749136,0.0007505986,0.001251878,0.002197979,0.0009613557,0.0009023924,0.07311764],"category_scores_gemma":[0.001825931,0.0003733791,0.0006888634,0.001259829,0.0007616237,0.002702668,0.001469074,0.001772303,0.0266673],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007771494,"about_ca_system_score_gemma":0.0008752158,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002930128,"about_ca_topic_score_gemma":0.004031664,"domain_scores_codex":[0.9997146,0.00004002629,0.0000179478,0.00007251703,0.00008790081,0.00006694588],"domain_scores_gemma":[0.9990785,0.0002855492,0.0001001815,0.0002402431,0.0002167123,0.00007871534],"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":[0.0005558661,0.0001676357,0.001058341,0.0006325021,0.00005093396,0.001374813,0.0005913443,0.004538069,0.02469347,0.5099541,0.256054,0.200329],"study_design_scores_gemma":[0.00009368846,0.0001034714,0.001718748,0.0001420156,0.00006018691,0.001495234,0.0003232238,0.01231486,0.03542347,0.3735144,0.5747514,0.00005912318],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.08553199,0.0004649453,0.289151,0.005882296,0.001429455,0.0003847037,0.0120652,0.007599636,0.5974907],"genre_scores_gemma":[0.4281929,0.001225529,0.1866126,0.001738309,0.0004899622,0.0002992949,0.03224096,0.004575363,0.3446251],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.07311764,"threshold_uncertainty_score":0.2446029,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01835145302768177,"score_gpt":0.259835901032013,"score_spread":0.2414844480043312,"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."}}