{"id":"W2740436644","doi":"","title":"ℤ k -magic labellings of fans and wheels with magic value zero.","year":2009,"lang":"en","type":"article","venue":"The Australasian Journal of Combinatorics","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"MAGIC (telescope); Mathematics; Zero (linguistics); Combinatorics; Physics; Philosophy; Linguistics; Astronomy","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":[0.0007229697,0.0004071374,0.0005680835,0.00123599,0.002019433,0.002934861,0.001089188,0.001347182,0.01170147],"category_scores_gemma":[0.004204072,0.000787526,0.0008865045,0.0009378823,0.002594016,0.003929212,0.002224196,0.001563502,0.001649853],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001296041,"about_ca_system_score_gemma":0.0006744164,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002143997,"about_ca_topic_score_gemma":0.003146939,"domain_scores_codex":[0.9991643,0.0001863577,0.00005455724,0.0002145455,0.0001483047,0.0002319808],"domain_scores_gemma":[0.9973074,0.001277365,0.0003019611,0.0004048798,0.0003595094,0.0003488771],"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":[0.0002029088,0.00002352445,0.001029331,0.0000804215,0.00001298087,0.0001342182,0.0003191367,0.001772159,0.001918514,0.9734327,0.00562502,0.01544892],"study_design_scores_gemma":[0.00003661591,0.00001761756,0.0006171332,0.00004162943,0.0000158202,0.0002000419,0.0001764401,0.006470459,0.001545056,0.9823498,0.008503968,0.00002552485],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5286046,0.0009847216,0.2776541,0.002315779,0.0005315628,0.0001247276,0.002159527,0.001127001,0.186498],"genre_scores_gemma":[0.8922726,0.0003128963,0.07438384,0.0004997456,0.0001035275,0.0001023466,0.001229015,0.0002703582,0.03082572],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01170147,"threshold_uncertainty_score":0.03914529,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007878301333030588,"score_gpt":0.212942878921089,"score_spread":0.2050645775880585,"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."}}