{"id":"W2002026379","doi":"10.1006/jctb.2002.2112","title":"The Quadrangulation Conjecture for Orientable Surfaces","year":2002,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Bijection, injection and surjection; Bijection; Combinatorics; Mathematics; Conjecture; Bipartite graph; Planar; Integer (computer science); Genus; Graph","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":[0.0005860505,0.0007437188,0.001078775,0.0009967923,0.001856142,0.004465227,0.001281379,0.00218736,0.01428028],"category_scores_gemma":[0.003422592,0.0006203532,0.000676039,0.001251869,0.003108893,0.006564514,0.002610591,0.004082498,0.002082649],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009419427,"about_ca_system_score_gemma":0.0003780851,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001648433,"about_ca_topic_score_gemma":0.001651778,"domain_scores_codex":[0.9993734,0.000127104,0.00002776591,0.0001483188,0.00015808,0.0001654181],"domain_scores_gemma":[0.9982225,0.0009535915,0.0001732889,0.0003294506,0.0001288555,0.0001922337],"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":[0.0002063171,0.00009090459,0.001633898,0.000143138,0.00002197057,0.0003323426,0.000348178,0.003467872,0.001384517,0.9613609,0.01169746,0.01931256],"study_design_scores_gemma":[0.00002476692,0.00001250322,0.0004067199,0.00001709451,0.000008104511,0.0001322101,0.0001732173,0.003585997,0.0003176452,0.9906026,0.004710141,0.000008899315],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7235877,0.002528164,0.03569331,0.01211214,0.0009361235,0.00005461165,0.0007322947,0.0004718734,0.2238837],"genre_scores_gemma":[0.9732676,0.001128921,0.005685341,0.001112873,0.0004441562,0.00002887354,0.0008755548,0.0001123577,0.01734439],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01428028,"threshold_uncertainty_score":0.04777235,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01632006083855677,"score_gpt":0.2680609459618251,"score_spread":0.2517408851232683,"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."}}