{"id":"W1995705554","doi":"10.1006/jctb.2001.2065","title":"On Essential and Inessential Polygons in Embedded Graphs","year":2002,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"Rollins College","keywords":"Contractible space; Combinatorics; Embedding; Pairwise comparison; Mathematics; Disjoint sets; Polygon (computer graphics); Bounded function; Simple (philosophy); Graph; Discrete mathematics; Computer science; Artificial intelligence","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":[0.0005539519,0.0001065688,0.0001919261,0.0003423264,0.00008761221,0.0001275637,0.0002823681,0.00005504555,0.00005926113],"category_scores_gemma":[0.0001764625,0.00009534636,0.00006569939,0.0004589628,0.00005797721,0.0007627479,0.00006796704,0.0001869639,0.000003756069],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002059558,"about_ca_system_score_gemma":0.00003506724,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.54593e-7,"about_ca_topic_score_gemma":7.439204e-7,"domain_scores_codex":[0.9988785,0.0001996155,0.0003518577,0.0001296536,0.0003043273,0.0001360293],"domain_scores_gemma":[0.999223,0.0002305173,0.0002040689,0.0001319996,0.000132463,0.00007793523],"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":[0.0001789725,0.0001606577,0.00002868887,0.000004614543,0.0000176368,0.00003992641,0.0005392078,0.0004015724,0.000979755,0.9933525,0.0005123668,0.003784082],"study_design_scores_gemma":[0.001648728,0.0005687267,0.00051127,0.00002950197,0.000008657291,0.0001610578,0.00004664101,0.001481573,0.004029496,0.9903898,0.0009913427,0.0001332708],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9541173,0.0004723979,0.0332792,0.0009916608,0.009490652,0.0001035867,0.000001163447,0.00002459534,0.001519425],"genre_scores_gemma":[0.9983625,0.00005698859,0.001020892,0.00008560828,0.000345814,0.000001187897,4.777468e-7,0.000004930936,0.0001216309],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04424515,"threshold_uncertainty_score":0.3888112,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006922090015502372,"score_gpt":0.2216519583411456,"score_spread":0.2147298683256433,"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."}}