{"id":"W2057756299","doi":"10.4153/cmb-2014-058-8","title":"On Graphs Associated with Character Degrees and Conjugacy Class Sizes of Direct Products of Finite Groups","year":2014,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Direct product; Conjugacy class; Combinatorics; Vertex (graph theory); Character (mathematics); Graph; Graph product; Finite group; Discrete mathematics; Chordal graph; 1-planar graph; Group (periodic table)","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001579599,0.0002576187,0.000716196,0.0003073377,0.00007557916,0.00003168489,0.0002782489,0.0001529153,0.001603772],"category_scores_gemma":[0.01412943,0.0001973785,0.00006877347,0.0003162472,0.0005457076,0.00003320698,0.00004609071,0.0002733691,0.0001785876],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006055778,"about_ca_system_score_gemma":0.0001212813,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001033679,"about_ca_topic_score_gemma":0.0006901503,"domain_scores_codex":[0.9978703,0.0003396341,0.000500598,0.0003401221,0.000444334,0.0005050032],"domain_scores_gemma":[0.9918196,0.006727079,0.0002446972,0.0005554352,0.000285655,0.0003675294],"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":[0.0001405882,0.0003222965,0.0007349686,0.001154314,0.0001887822,0.0000196015,0.0008405988,0.000002188424,0.0004560236,0.9920769,0.00363957,0.0004242081],"study_design_scores_gemma":[0.002537754,0.00191286,0.004906072,0.002652345,0.0002229085,0.00002413475,0.0002869247,0.001088928,0.004891275,0.9769737,0.003633938,0.0008691588],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9710138,0.00002720058,0.00006968837,0.001441659,0.00002368215,0.0005571147,0.00008308734,0.00003907903,0.02674473],"genre_scores_gemma":[0.9977012,0.000004384035,0.001030454,0.0001481233,0.00002267364,0.00003221473,0.00001218905,0.00005936832,0.000989451],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02668738,"threshold_uncertainty_score":0.9993089,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02762557097541916,"score_gpt":0.2456881910154108,"score_spread":0.2180626200399916,"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."}}