{"id":"W1949222424","doi":"","title":"Enumerating super edge-magic labelings for some types of path-like trees","year":2010,"lang":"en","type":"article","venue":"Utilitas Mathematica","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Combinatorics; Corollary; MAGIC (telescope); Kronecker product; Path (computing); Enhanced Data Rates for GSM Evolution; Type (biology); Discrete mathematics; Kronecker delta; Artificial intelligence; Computer science","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":[0.0007296419,0.000167227,0.0003001903,0.0001005981,0.0001216719,0.00007089484,0.000558052,0.00007631178,0.00005774984],"category_scores_gemma":[0.0004106708,0.0001330477,0.0001299934,0.0001948175,0.0001068526,0.0002778735,0.0001392634,0.0001514485,0.00007259295],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000004491073,"about_ca_system_score_gemma":0.00005261658,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009694844,"about_ca_topic_score_gemma":0.000004866153,"domain_scores_codex":[0.9986289,0.00002710078,0.0004537835,0.0003397945,0.0002456048,0.0003048714],"domain_scores_gemma":[0.9984147,0.0004627892,0.0001289313,0.0007135897,0.000185449,0.00009457313],"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":[0.000004360898,0.0001904225,0.00005298228,0.0002196087,0.00003104548,0.000001363905,0.001880039,0.000008335254,0.06025881,0.9307215,0.001903368,0.004728197],"study_design_scores_gemma":[0.0005169294,0.0001564983,0.00004899706,0.0001273298,0.00003548962,0.00001551219,0.0001030203,0.1000453,0.01932163,0.877331,0.00202383,0.0002745517],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9144641,0.00164907,0.07529418,0.00200697,0.001837494,0.001053663,0.00004019684,0.0005961224,0.003058257],"genre_scores_gemma":[0.7582064,0.0000052511,0.2412224,0.0001841518,0.00001800059,0.00002868373,0.000003172146,0.00001589507,0.0003160817],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1659282,"threshold_uncertainty_score":0.5425526,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01528467967349586,"score_gpt":0.2475596280796539,"score_spread":0.232274948406158,"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."}}