{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008107803,0.000158883,0.0003008582,0.0001592647,0.00008932182,0.00009477617,0.0007806407,0.00005554341,0.000002258731],"category_scores_gemma":[0.00002410712,0.0000954521,0.00007467836,0.0005935804,0.0001513967,0.0003396636,0.00004397335,0.0003657191,0.000003044182],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001587941,"about_ca_system_score_gemma":0.00008442936,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003964079,"about_ca_topic_score_gemma":1.234463e-7,"domain_scores_codex":[0.9985783,0.00009859244,0.00045832,0.0001459724,0.0004721679,0.0002466604],"domain_scores_gemma":[0.9985285,0.00009031843,0.0005167854,0.0003731624,0.0003350562,0.0001561979],"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":[0.00003583812,0.0002327176,0.001604496,0.00002471751,0.00005780716,0.00007497,0.001564949,0.0008915269,0.002372814,0.9894189,0.001128549,0.002592696],"study_design_scores_gemma":[0.001297929,0.0019032,0.003511669,0.0001829591,0.00006551514,0.0007200214,0.00007571956,0.0008011608,0.006100245,0.9848074,0.0003606646,0.0001735221],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9446206,0.001346656,0.04018031,0.01202585,0.0004561351,0.0001561764,0.000001029419,0.00003993031,0.001173321],"genre_scores_gemma":[0.9938329,0.0001507477,0.005608085,0.0001809456,0.000007655906,1.473867e-7,1.129487e-7,0.000007080646,0.0002123433],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0492123,"threshold_uncertainty_score":0.3892424,"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."}}