{"id":"W1491930737","doi":"","title":"Vertex-Magic Total Labelings of Complete Bipartite Graphs","year":2003,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":21,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Combinatorics; Mathematics; Bipartite graph; Vertex (graph theory); MAGIC (telescope); Complete bipartite graph; Lambda; Discrete mathematics; Graph; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006537965,0.0003938524,0.0003655832,0.001320274,0.001148645,0.001875213,0.00068332,0.0005684323,0.003512151],"category_scores_gemma":[0.002943725,0.0005386721,0.0005185558,0.001423495,0.001404565,0.002417671,0.00100938,0.0006491338,0.00033869],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001107063,"about_ca_system_score_gemma":0.0004995403,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001430755,"about_ca_topic_score_gemma":0.002319938,"domain_scores_codex":[0.9993508,0.0001703192,0.00004358077,0.0001618071,0.0001345172,0.0001388669],"domain_scores_gemma":[0.9972152,0.001440558,0.00038759,0.0004451334,0.0002330872,0.0002784484],"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":[0.000324298,0.00005597681,0.004442662,0.0001697343,0.00002907326,0.0001178535,0.0005608622,0.01914739,0.007848929,0.926286,0.004535603,0.03648175],"study_design_scores_gemma":[0.00004456242,0.0000549729,0.002218606,0.00004184707,0.00003665165,0.0002914892,0.0003127571,0.0489536,0.006860937,0.9330612,0.00808977,0.00003357335],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8472782,0.0004139249,0.1173004,0.0003613131,0.00002898882,0.00004315142,0.001202098,0.0004568166,0.03291518],"genre_scores_gemma":[0.9544415,0.0002484118,0.03867894,0.0001095987,0.00002616938,0.00006156709,0.001301256,0.00009430484,0.005038114],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003512151,"threshold_uncertainty_score":0.01174927,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01477008321094726,"score_gpt":0.2200891769603919,"score_spread":0.2053190937494446,"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."}}