{"id":"W2408735107","doi":"","title":"On Strongly Multiplicative Graphs","year":2015,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Multiplicative function; Mathematics; Conjecture; Graph; Combinatorics; Discrete mathematics; Mathematical analysis","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":[],"consensus_categories":[],"category_scores_codex":[0.0008523297,0.000168573,0.0002199548,0.0001318415,0.00007492867,0.00003590958,0.0004200139,0.00009269767,0.00006922467],"category_scores_gemma":[0.001915021,0.0001513727,0.00007106196,0.0003251884,0.0001179999,0.00009641356,0.0001297388,0.0003186013,0.0007056968],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001235104,"about_ca_system_score_gemma":0.00006676126,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009982866,"about_ca_topic_score_gemma":0.000002748086,"domain_scores_codex":[0.9984093,0.0002175801,0.0002064605,0.0002834534,0.0005243781,0.0003588648],"domain_scores_gemma":[0.9975994,0.001163501,0.00008094293,0.0006865769,0.0002252967,0.0002443035],"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":[0.0001010192,0.000313346,0.0005683794,0.00001130464,0.00003154041,0.00001053348,0.0007013268,0.000001826461,0.00007796832,0.9770916,0.02084055,0.0002506701],"study_design_scores_gemma":[0.001576293,0.0004058505,0.0002963832,0.00001993459,0.00000874901,0.000002497041,0.0002885947,0.0001426065,0.001005928,0.9955109,0.0005812016,0.000161018],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9564229,0.00002363113,0.00003001982,0.0001584365,0.0006657226,0.0003595589,0.000008554891,0.0001674715,0.04216367],"genre_scores_gemma":[0.9979959,0.000001417773,0.0008852402,0.00004040792,0.000006607796,0.0000610459,0.000005497158,0.00004330309,0.0009606323],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04157291,"threshold_uncertainty_score":0.9070539,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08795892038657828,"score_gpt":0.3507536364027132,"score_spread":0.262794716016135,"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."}}