{"id":"W1986161890","doi":"10.1016/j.ejc.2008.09.022","title":"On the geodesic pre-hull number of a graph","year":2008,"lang":"en","type":"article","venue":"European Journal of Combinatorics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":21,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Convexity; Combinatorics; Hull; Geodesic; Bipartite graph; Convex hull; Graph; Discrete mathematics; Regular polygon; Geometry","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":[0.002005845,0.0001264307,0.0002050914,0.0001626597,0.0001682099,0.00003229308,0.002026999,0.00001518362,0.00002170973],"category_scores_gemma":[0.0003668545,0.00008256674,0.0001747234,0.0008425463,0.0002014632,0.0002839953,0.0002192278,0.0005161358,0.00005799813],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000284724,"about_ca_system_score_gemma":0.00007694982,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.477793e-7,"about_ca_topic_score_gemma":2.670496e-8,"domain_scores_codex":[0.9974129,0.0009802184,0.0004496127,0.0001387073,0.0007761013,0.0002424675],"domain_scores_gemma":[0.9978043,0.0005853983,0.0004448001,0.0006045843,0.0004327483,0.0001282054],"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":[0.0000605305,0.0002294578,0.001484695,0.000007783025,0.00003969615,0.0005131888,0.0007667432,0.0001801163,0.0001926182,0.991578,0.003452603,0.001494582],"study_design_scores_gemma":[0.001947778,0.001784648,0.02309174,0.0001541411,0.00001476061,0.001699461,0.00005651401,0.0004752295,0.003780176,0.9587204,0.007943789,0.0003313084],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.790298,0.000221565,0.1856779,0.000585855,0.0006102971,0.0001127668,8.964977e-7,0.00002801105,0.02246459],"genre_scores_gemma":[0.9977153,0.0001270373,0.001605375,0.000126572,0.00003356086,4.402543e-7,6.823401e-8,0.00001896287,0.0003726909],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2074172,"threshold_uncertainty_score":0.3766702,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02757615659496736,"score_gpt":0.2700224635671326,"score_spread":0.2424463069721652,"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."}}