{"id":"W23801234","doi":"10.1701/1295.14331","title":"On vertex-magic and edge-magic total injections of graphs","year":2002,"lang":"en","type":"article","venue":"The Australasian Journal of Combinatorics","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"","keywords":"Combinatorics; MAGIC (telescope); Vertex (graph theory); Mathematics; Graph; Discrete mathematics; Physics; Quantum mechanics","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":[0.0004285109,0.000133612,0.000229542,0.0002642639,0.0001283282,0.00007663994,0.0005383863,0.00005604355,0.00001791365],"category_scores_gemma":[0.00008390693,0.0000906492,0.0001229818,0.0007299383,0.0001593727,0.0002762871,0.00006865559,0.000396708,0.00001430991],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001823756,"about_ca_system_score_gemma":0.00002621719,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003834944,"about_ca_topic_score_gemma":2.340536e-7,"domain_scores_codex":[0.9987636,0.0001017014,0.000421411,0.0001304085,0.0003792588,0.0002036128],"domain_scores_gemma":[0.9987333,0.0001739995,0.0003500103,0.0003594963,0.0002424571,0.0001406892],"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":[0.000009260104,0.0002972794,0.0006684107,0.00001405508,0.00005226834,0.0000264761,0.0008084425,0.0003147716,0.0003715941,0.9890066,0.005870437,0.002560389],"study_design_scores_gemma":[0.001024851,0.001302829,0.003422815,0.00009885977,0.00004330155,0.0008221454,0.0000873473,0.002242464,0.001004485,0.9896284,0.0001753876,0.0001470513],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9900748,0.0008802384,0.001339247,0.003095426,0.001622401,0.00009304757,0.000001207707,0.00002940393,0.002864242],"genre_scores_gemma":[0.9990387,0.0001130509,0.0003908202,0.00007033909,0.000006312671,3.746895e-7,7.673462e-8,0.000007172236,0.0003731387],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008963929,"threshold_uncertainty_score":0.3696567,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01504933650601363,"score_gpt":0.2174334074289269,"score_spread":0.2023840709229133,"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."}}