{"id":"W168336619","doi":"","title":"On a Prime Labeling Conjecture.","year":2006,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":10,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Prime (order theory); Conjecture; Mathematics; Arithmetic; Combinatorics","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":[0.0002543113,0.0001500244,0.0001508321,0.0001137045,0.0001608221,0.000126435,0.0004900086,0.00007525708,0.000009666956],"category_scores_gemma":[0.00003622416,0.0001334198,0.00006120413,0.0004080511,0.00003474489,0.0001357462,0.0001103307,0.0001642033,0.0002287376],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002588033,"about_ca_system_score_gemma":0.00004230347,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008744014,"about_ca_topic_score_gemma":0.000002486101,"domain_scores_codex":[0.9987655,0.0000518158,0.0002121268,0.0003754043,0.0002936252,0.0003014934],"domain_scores_gemma":[0.9990788,0.0001262103,0.00007664998,0.0005749188,0.00007217209,0.00007122564],"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":[0.000002278022,0.0001037405,0.0002074678,0.00000266287,0.000005543777,0.00001311645,0.00003289708,0.0001496432,0.002095849,0.9923801,0.00448066,0.0005260554],"study_design_scores_gemma":[0.0006948499,0.000122625,0.0002898811,0.00002478993,0.000003523203,0.000007086527,0.000001238787,0.002172736,0.01045574,0.9853234,0.0007302347,0.0001738478],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9854376,0.0003953661,0.001262758,0.001122309,0.002845468,0.0001695289,9.87543e-7,0.0006387974,0.008127221],"genre_scores_gemma":[0.9951951,0.000002375254,0.003985444,0.0004710924,0.00000205355,0.000008081945,0.000002719761,0.00001163275,0.0003214936],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009757543,"threshold_uncertainty_score":0.5440701,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00712472240400353,"score_gpt":0.2099430421946723,"score_spread":0.2028183197906688,"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."}}