{"id":"W3127659170","doi":"10.48550/arxiv.2102.05250","title":"On multipartite derangement graphs","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"","keywords":"Combinatorics; Derangement; Multipartite; Transitive relation; Mathematics; Permutation group; Discrete mathematics; Graph; Permutation (music); Physics","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":[0.0005189333,0.0006486847,0.000495022,0.001699953,0.001408113,0.001568802,0.0007902778,0.000715661,0.005195817],"category_scores_gemma":[0.001843694,0.0003989097,0.0007557234,0.001409486,0.002455509,0.003018444,0.001922476,0.001486726,0.0008149174],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001334455,"about_ca_system_score_gemma":0.0002778969,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00113113,"about_ca_topic_score_gemma":0.001260966,"domain_scores_codex":[0.9991428,0.0001843655,0.00003679765,0.0002560047,0.0002030331,0.0001769404],"domain_scores_gemma":[0.9975677,0.001038724,0.0004451799,0.0005029198,0.0001448884,0.0003005457],"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":[0.0001082067,0.00002960673,0.0007716564,0.00006996571,0.00001529853,0.0002067444,0.0005874191,0.008709717,0.005980072,0.9717578,0.001029701,0.0107338],"study_design_scores_gemma":[0.000020219,0.00003635506,0.0009173801,0.00001843206,0.00001587455,0.0002536254,0.0001503217,0.02821722,0.003866534,0.9600022,0.006478929,0.00002281915],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7930849,0.0009063659,0.1384359,0.0009601251,0.0000765829,0.0000726282,0.000487909,0.0002860649,0.06568956],"genre_scores_gemma":[0.9740804,0.0006117906,0.01490048,0.0001668954,0.0001252998,0.00006794795,0.000593336,0.00007618945,0.009377694],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005195817,"threshold_uncertainty_score":0.01738179,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2283406750240227,"score_gpt":0.2572967520844641,"score_spread":0.02895607706044145,"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."}}