{"id":"W3048509133","doi":"10.1007/978-3-030-92931-2_7","title":"A Short Proof of the Non-biplanarity of $$K_9$$","year":2021,"lang":"en","type":"preprint","venue":"Lecture notes in computer science","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Windsor","funders":"","keywords":"Simplicity; Graph; Combinatorics; Battle; Mathematics; Philosophy; Geography; Epistemology","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":[0.0007772871,0.001696157,0.0008190286,0.001086737,0.002623788,0.001707835,0.00110357,0.00112488,0.04251182],"category_scores_gemma":[0.002359658,0.0007250617,0.00156244,0.001468276,0.00250933,0.002369776,0.004018833,0.003346079,0.01412272],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001035553,"about_ca_system_score_gemma":0.0008042786,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001612526,"about_ca_topic_score_gemma":0.001740219,"domain_scores_codex":[0.999221,0.0001264459,0.00005558892,0.0001708537,0.0003043262,0.0001217295],"domain_scores_gemma":[0.998549,0.0006611007,0.0001035216,0.0001299839,0.0004148385,0.0001414692],"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":[0.0001818554,0.0001431112,0.000450706,0.00171059,0.000112697,0.001691961,0.000435004,0.001794843,0.02005648,0.6127168,0.2483919,0.1123141],"study_design_scores_gemma":[0.00003247461,0.0001570844,0.002169279,0.0002607329,0.00006115982,0.001196797,0.0001536935,0.001264893,0.007622011,0.4779566,0.5090163,0.0001089348],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.0176623,0.035317,0.3594036,0.03810938,0.05556866,0.0004595903,0.005883098,0.002538499,0.4850579],"genre_scores_gemma":[0.4306218,0.03338481,0.2826543,0.01923067,0.01982832,0.001220496,0.007745482,0.001914501,0.2033997],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.04251182,"threshold_uncertainty_score":0.1422162,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02298387676938953,"score_gpt":0.3048264494576574,"score_spread":0.2818425726882678,"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."}}